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This text on Digital Signal Processing has been suitably crafted and designed to meet
student's requirements. Considering the highly mathematical nature of this subject,
more emphasis has been given on the problem-solving methodology. Considerable
effort has been made to elucidate mathematical derivations in a step-by-step manner.
Exercise problems with varied difficulty levels are given in the text to help students get
an intuitive grasp on the subject.
This book with its lucid writing style and handy pedagogical features will prove to be a
master text for engineering students and practitioners.
Key features
Wherever required, problems are solved by multiple methods
Additional explanations for solutions and proofs are provided in separate boxes
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Data, Graphing, and Statistics Smarts!
Description: AreMore...
List price:
$7.95
Buy it from:
$11.96
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Are graphing, and statistics concepts. This book is designed for students to use alone or with a tutor or parent, provides clear lessons with easy-to-learn techniques and plenty of examples. Whether you are looking to learn this information for the first time, on your own or with a tutor, or you would like to review your skills, this book will be a great
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designed for those portions of the market that are either price sensitive or those who are looking for a more brief text than they've been using. It has all of the breadth of the original text but with less depth. The quantitative reasoning flavor of the original text, Using and Understanding Mathematics, has been retained and will continue to be a major selling feature of this text.
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Product Description
Join Tom Clark, founder of VideoText Interactive and author of Algebra: A Complete Course and Geometry: A Complete Course, as he offers an entertaining and educational session designed to help you discover the reasons behind the difficulty of several of the traditional trouble spots in math. Topics discussed will be determined by the audience and may include: division of fractions and multiplication of decimals (using those mindless rules), long-division, story problems, positive and negative numbers, and numerous topics, all of which seem to indicate that mathematics is just naturally "difficult.
Speaker Information:
Tom Clark is a lifelong teacher of mathematics and science, with 46 years' experience in education. In addition to teaching, he has served as the state mathematics supervisor for the Indiana Department of Education, the supervisor of K-12 mathematics for Indianapolis Public Schools, and director of curriculum development. In addition, he has authored several mathematical resources for the Houghton-Mifflin Publishing Co. and for the Addison-Wesley Publishing Co. His unique awareness of the needs of both teachers and students has helped him win the IUPUI Chancellor's Award, the Purdue Chancellor's Award, and the Purdue School of Science Faculty Teaching Award. In the last 18 years he has focused on the development of multimedia programs that challenge traditional methods of instruction and that help with both individualized and group learning. He has written several articles on the subject and has been a featured speaker at many conferences across the country, addressing techniques of interweaving technology and instruction for concept development, especially in the areas of middle school and high school mathematics. Tom is currently president of VideoText Interactive, a company that specializes in bringing the textbook to life through technology. The company's two major programs, "Algebra: A Complete Course" and "Geometry: A Complete Course," have been acclaimed nationwide, as comprehensive college-preparatory mathematics courses.
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Packed with fascinating facts and motivational activities, this book helps you create a thematic unit on rocketry. Lessons include information on the beginning of rocketry and explanations of basic scientific principles of
Imagine killer nannies patrolling the streets of New York, their baby carriages bristling with automatic weapons, even as prowling, infertile parent-wannabes make desperate grabs at the carriages' precious cargo.... This is the
This book fits the Business Mathematics course in high schools. It is structured around a three-pronged approach: Basic math review, personal finance and business mathematics. Build and strengthens students' basic skills in
From two experienced teachers, here are four books of problems that follow the school year. Activities include order of operations, signed number factoring, quadratic formula, linear and quadratic function problems. Book C/Grades
Following the content of the standard school curriculum, this book presents in 418 problems and diversions the basic ideas of arithmetic. Averages, fractions, decimals, percent, powers and roots, more. Shortcuts, checking methods,
A gardener "ought to have a little make-believe," the Southern California garden maven Olive Percival mused more than eighty years ago. Inspired by this principle, she devised plans for whimsical gardens that
SMP Interact: Framework Edition supports a teacher-led, discussion-based approach as the revised Framework promotes. With three differentiated tiers providing coherance and clear progression it has been extensively trialled to ensure effectiveness and
Glencoe's Algebra 1 and Algebra 2 balance sound skill and concept development with applications, connections, problem solving, critical thinking, and technology. Whether your students are getting ready for college or the workplace,
Classic Chemistry Demonstrations is an essential, much-used resource book for all chemistry teachers. It is a collection of chemistry experiments, many well-known others less so, for demonstration in front of a class
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Description:
This course, designed for Miami Dade Community College, integrates arithmetic and beginning algebra for the undergraduate student. By applying math to real-life situations most students experience during college, the instructors attempt to make math both fun and applicable. The instructors specifically wish to dissipate the anxiety many college students feel when approaching math at an advanced level. Students can use the information provided on this website to help apply mathematical concepts to their own lives, while instructors can use the assignments, syllabus, and lecture notes to create their own relevant assignments in a mathematics course.
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Elementary Algebra With Bca Tutorial, and Infotrac
9780534400415
ISBN:
0534400418
Publisher: Thomson Learning
Summary: Jerome Kaufmann and Karen Schwitters discuss algebra with clear and concise exposition, numerous examples, and plentiful problem sets. They reinforce the following common thread - learn a skill, use the skill to solve equations, and then apply this to solve application problems.
Kaufmann, Jerome E. is the author of Elementary Algebra With Bca Tutorial, and Infotrac, published under ISBN 9780534400415 and 053...4400418. Nineteen Elementary Algebra With Bca Tutorial, and Infotrac textbooks are available for sale on ValoreBooks.com, ten used from the cheapest price of $9.19, or buy new starting at $110.77.[read more
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Math911Math911 contains step by step tutorials for High School and College Mathematics courses from Arithmetic Review through Algebra, Trigonometry, College Algebra, Precalculus and Statistics. When the random problem appears either click on see solution, see all steps, see next step or enter your answer. If you're wrong Math911 will step you through the solution. Enter your answer freeform, even fractions and exponents (using the up/down arrow keys). No multiple choices, just loads of word problems, equations and graphing (using your mouse). A comprehensive grading module will keep track of your progress as you move up the levels of difficulty. Very intuitive easy to master user interface.
The interface is difficult to use. While there are problems organized in sections, it is difficult to navigate between them. It is basically a really dumb quiz tool. I managed to crash it the first time I ran it, but it ran the second time. However, if you may a mistake, you could get stuck. Very poor. Find a better
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Featuring humor, easy-to-understand explanations, and silly illustrations, Life of Fred is guaranteed to make your math studies come alive! Each text is written as a novel, including a hilarious story line based on the life of Fred Gauss. As Fred encounters the need for math during his daily exploits, he learns the methods necessary to solve his predicaments – plus loads of other interesting facts! Filled with plenty of solved examples, each book is self-teaching and reusable – perfect for families full of learners.
Introduce your students to Fred today and see how his fun, lighthearted approach to learning is revolutionizing mathematics!
Need a lot of practice or stuck on a particular kind of problem? This book has been requested by many readers. Keyed directly to the chapters and topics of Life of Fred: Advanced Algebra. Each problem worked out in complete detail. Ten exponential equations worked out step by step. Over 40 problems dealing with functions. Sixteen imaginary number problems solved in detail. Eleven linear programming problems - each taking about a page to solve. A bonus six-page introduction to Turing Machines, starting on page 117.
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Using Excel to Individualise Basic Mathematics Assignments
Executive Summary
This paper sets out a method for creating and marking individualised mathematics assessments for students based on their ID numbers. It therefore provides a means for setting assessed coursework questions that give students the incentive to put in the practice needed to master mathematical techniques without the risk of collusion between students. A marking grid can then be constructed using only basic Excel skills. The method is explained here in the context of basic mathematical techniques applied to economics, but it can also be applied to other academic disciplines that involve numerical problems.
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Description:Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed.
Beginning with the definition of a polynomial, polynomial multiplication and degree of polynomial products are introduced. Special products and factoring cubics are presented before modeling with polynomials is discussed.
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Study groups and workshops can be arranged for STEM students; visit the lab for specific details.
The STEM Center is also a place for instructors to spend their office hours and interact with their students and anyone working in the lab. Come and meet your current or future instructor today!
The tutoring lab is equipped with new computers students can use to work with interactive online programs for math and science such as MyMathLab, MyLabsPlus, WebAssign, etc.. Minitab, Mathematica, and MathType are also available.
The STEM Experience ~ from our students point of view
Click on the picture to see what our students say about the STEM program
Math 112, Prealgebra
Math 238, Calc. for Bus. & Social Science I
Math 115, Elementary Algebra
Math 240, Trigonometry
Math 121, Geometry
Math 245, College Algebra
Math 123A,B,C, Elem & Inter Algebra I, II, III
Math 260, Precalculus
Math 129A,B, Precollege Math I, II
Math 265, 266, 267, Calculus I, II, III
Math 137, Pre-Statistics Algebra
Math 270, Linear Algebra
Math 125, Intermediate Algebra
Math 275, Ordinary Diff. Equations
Math 215, Principles of Mathematics I
Math 227, Statistics
Math and Science Textbooks and calculators available (to be used in the lab only)
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Industrial Math Training
CiNet's Industrial Math Training is designed to familiarize participants with mathematical applications that can be used on the job. Participants should be able to interpret measurements that include fractions and decimal values, measurements in English and metric units, and perform mathematical applications involving fractions, decimals, calculate dimensions associated with rectangles, triangles, and circles.
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Algebra Honors (Algebra)
Algebra Honors course is for Mrs. Sullivan's period 5 & 6 classes. The course will follow the Massachusetts State Curriculum Standards for Algebra 1 through solving quadratics equations. Students in this course usually are recommended for one of three levels of Algebra 2 in grade 9.
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Tour the city as we attempt to take an Euler tour of the
bridges and tunnels of New York City. In the process, you
will learn the basics of graph theory and encounter the
Chinese Postman Problem. You will also learn about
Hamiltonian circuits and the the famous Traveling Salesman
Problem. Discover a vibrant and exciting area of discrete
mathematics - graph theory!
What do you mean by infinity? Suppose we had ''infinitely'' many people coming to a picnic. Suppose that every prime numbered visitor brought one slice of bread, every 2n-th visitor who wasn't a prime numbered visitor brought a bottle of peanut butter, and every 2n+1st visitor who wasn't a prime numbered visitor brought a bottle of jelly, and every prime numbered visitor brought one slice of bread, then we'd have just the right amount of everything to feed everyone as many peanut butter jelly sandwiches as they'd like without wasting any food. We'll talk about why this is possible by clarifying how we decide how big any given ''infinity'' really is using a neat trick called the diagonal argument.
Before taking a course in the subject, Calculus seems mysterious and intimidating. However, Calculus deals with some of the most intuitive ideas in mathematics: real systems and how they change. Through examples in physics, algebra, and everyday life, we will seek a conceptual grasp of the central problems in Calculus; limits, differentiation, and integration will each be treated. A special emphasis will be placed on applying Calculus to real-world problems, as well as grounding other fields (particularly physics) in mathematics.
Length: 1 Hour
Prerequisites: Comfortability with high school algebra. The concepts will be challenging, but they will be presented in an extremely intuitive way to maximize understanding of the processes at work.
Counting things is not always so easy. How many spades can you get by withdrawing 10 from a deck of cards? What is the probability of getting the total sum of 12 by throwing 3 dice? All this can be intriguing and help you understand the world around you in a different way.
I will try to prove three fundamental trigonometry identities. The first one that I will prove is sin^2(angle)+ cos^2 (angle) = 1, and from proving this first one, I will try to prove a second and third trigonometry identity.
When a satellite is launched into orbit, the solar panels must fold up to fit inside
a rocket, but when it gets into orbit, the panels are unfolded. These unfoldings
are done in a rigid way because solar panels can't bend! In this class, we will
discuss the mathematics behind how objects can fold rigidly and the models we use to
understand these foldings.
Length: 1 Hour
Prerequisites: Good spacial orientation skills are a must for this course!
Genetic Algorithms are algorithms which imitate evolutionary processes allowing for the accurate approximation of solutions to a wide range of problems. These problems can be as simple as finding solutions to equations or as complex as solving the Traveling Salesman Problem, for which no "good" solutions exist. This class will discuss the theory of Genetic Algorithms and their applications in problem solving.
Length: 1 Hour
Prerequisites: No prerequisite knowledge is needed or assumed for this class.
This is a chapter from "the proofs from the book" which gathers some very beautiful yet simple proofs from the mathematical world.
A graph is planar if it can be drawn in the plane R^2 without crossing edges. Euler's formula states that:
n-e+f=2 where n,e and f are the number of vertices, edges and faces of the graph, respectively. You'll be surprised to know that this is even true in more generality, as in the torus or R^3. However, we only work in 2 dimensions, and we will prove three interesting application of this formula:
1- The Sylvester-Gallai theorem:
Given any set of n>2 points in the plane, not all on one line, there is always a line contains exactly two of the points.
2- Monochromatic lines:
Given any configuration of "black" and "white" points in the plane, not all on one line, there is always a "monochromatic" line: a line that contains at least two points of one color and none of the other.
3- Pick's theorem:
The area of any (not necessarily convex) polygon Q in R^2 with integral vertices is given by
A(Q)=n_int + 1/2(n_bd)-1,
where n_int and n_bd are the number of integral points in the interior and on the boundary of Q, respectively.
Come learn all you need to know about the night sky and how to get the most out of a star-gazing experience!
I will present a quick and easy introduction to observational astronomy using technology or just a simple planisphere.
I will also try to answer any questions about stellar structure and evolution of the universe!
Can numbers predict and improve your odds of finding a good date? Of course! We shall cover strategies that dramatically raise the odds of finding your sweetheart in such settings as dance clubs, bars, schools or any other place ripe for romantic encounters. In the end, we shall see that even though there isn't a clear cut formula for love, there are strikingly profound predictions we can make with a little math. You will be convinced that Cupid carries a calculator with him! If time permits we shall also look at ways of matching groups of people into happy couples.
Length: 1 Hour
Prerequisites: Some familiarity with basic probability is recommended.
Geometry has been a wellspring of profound ideas in every branch of mathematics, from number theory to algebra, to analysis, to combinatorics, and even to computation. I will talk about this last connection. Many books, articles and talks have been entitled "What is Geometry?" One is reminded of the parable of the Elephant and the Blind Men. In this lecture, the Computer Scientist joins the Blind Men to probe this Geometric Elephant.
The class will begin with simple ideas and concepts in Economics, and we will quickly go into the concept of indifference curves and budget constraints. Then we will teach the idea of optimization and the use of Lagrangian. After this, we try to drive towards optimizing across two time periods. This is the idea of the discount factor. After this, depending on class performance, we can derive the Sharpe Ratio and Beta, or we can explain the Time Value of Money.
Length: 1 Hour
Prerequisites: Calculus and basic differentials. The Lagrangian concept is supposed to be Calculus III but can be introduced during the class.
Have you ever been sitting in math class and wondered "When am I ever going to use this?" or "How did we ever come up with this stuff?" Well then, this class will at least try to answer those questions. From likes of Archimedes to recent mathematicians like Mandelbrot and Courant, this class gives a bird's eye view of the context within which modern day mathematics operates and influences the world. Philosophers often place ideas within the context of a period of time, so why shouldn't we, as mathematicians, do the same? Just as human thought flowed from Platonic philosophy to existentialism to post-modernism, so too did mathematics from Euclid to Newton's Calculus to modern day Chaos Theory. The placement of ideas within this historical context helps to illuminate why these mathematical methods were invented in the first place, and what they can help us with on a day to day basis, whether pondering the philosophical truths of this universe or building an econometric model. In essence, uncovering our mathematical past will frame our modern day condition and adjust our expectations for the future of mathematics.
Length: 1 Hour
Prerequisites: One should be familiar and comfortable with mathematical reason. High school algebra and pre-calculus would be a big plus, but we will be brushing through everything from basic trigonometry to more complex topics. Really all that is required is a logical mind and willingness to think.
Combinatorial game theory studies games. Which games have winning strategies? Can we describe them? Do games like chess and checkers have optimal strategies?
In this class, we will see how to *prove* that games have optimal strategies, and we will see how to give explicit descriptions of optimal strategies for some very special games.
It's the next best thing to equality - it's equivalence! Join us for the formal mathematical definition of an equivalence relation, and then test out your new knowledge by discerning some motivating examples from a few non-motivating non-examples.
Length: 1 Hour
Prerequisites: The willingness to learn from examples, and the ability to make great mistakes. Material will be pulled from many levels of mathematics.
From Leibniz to a Little Big Planet (TM): Using First-Principles Physics to Simulate Complex Motion
Have you ever wondered how character movements in animated movies or video games look so realistic? What concepts in physics, mathematics and computer science are engineers using to create these graphics? It turns out that basic laws of physics, such as velocity and acceleration, can be integrated with computational methods to generate these results. We will begin with a discussion on what derivatives and differential equations are, and how they can be used in modeling the dynamics of movement. Commonly used computational algorithms for solving these equations will be introduced, and we will define areas where these approaches have proven useful, such as providing entertainment and even solving scientific problems.
Classes at the New York Math Circle are problem solving sessions. During this talk I'll discuss a small number of my favorite problems, some from combinatorics, some from probability, and some from geometry. Hopefully we'll solve them all!
What do Phoenician merchants, Claudius Ptolemy, Christopher Columbus, certain brands of vacuum cleaners and the self-driving Google car have in common? All need to navigate under uncertainty or to map the unknown. They guess their next location and correct their predictions thanks to (always noisy) observations of some kind, be it from the North Star, Jupiter's satellites, a compass, a Kinect camera or a laser LIDAR system. They define coordinate systems and piece together small maps. We will see how robots can do this. A little mobile robot will make a guest appearance.
We wish upon them, gaze upon them on a clear night, but what do we really know about stars? Together we will explore exactly how stars are formed, how they die, and everything in between (even their afterlife!). We will talk about the big bang initiating the contents of the universe today, but how the stars do everything else. We'll even discuss how stars can either burn out to be harmless and docile, or turn into super massive black holes. Don't just marvel at their pretty twinkling-- appreciate the delicate physics behind this incredible phenomenon!
Length: 1 Hour
Prerequisites: A high school level understanding of physics is helpful, but not mandatory. Most physics concepts will be quickly reviewed in class. The course will primarily center around abstract concepts and relationships rather than hard numbers.
"A grasshopper can jump up to ten times its size, so a human-sized grasshopper can jump up to 60 feet in the air." Is this true? We'll show, in fact, that it is not, by demonstrating that there are fundamental consequences of size in nature that determine what is physically possible. By using simple mechanical arguments, we will explain, among others: why elephants have such thick legs; why ants can lift so much weight; why human-powered flight is so difficult; and why deep-diving mammals are so large.
Length: 1 Hour
Prerequisites: Some physics (you need to be familiar with the concepts of force, energy, and power).
Welcome to the Alternate Reality of Frequency Space! Fun with Fourier Series
We spend most of our lives in the physical world, thinking about how various quantities change in space. However, there is another, less intuitive way to think: in terms of frequency! That is, we can decompose a signal into waves of different frequencies and compare their relative strengths. In this course, we will introduce the theory of Fourier series and view some applications in climate science and music, using computers to do big calculations for us!
Length: 1 Hour
Prerequisites: You should know how to integrate basic trigonometric functions like sine and cosine
We will start by describing simple games that students can relate to (e.g. rock, paper, scissors) and gradually explain the abstract formal definition of a game in strategic normal form. We will explore notions such as the Nash Equilibrium and the Price of Anarchy of a Game. We will also be playing some fun games in class that will help students understand how players think and which strategies are good. Putting yourself into other people's shoes is the first thing that you want to do here before you choose your course of action. If students bring laptops we can also play some games online.
Are some parts of calculus troubling you? Perhaps little details (and certain proofs) were glossed over that make you uneasy? Then analysis is the class for you!
We will learn whether or not the real numbers are really just made up, (finally!) see the proof for the Intermediate Value Theorem, and think carefully about integrals! Hopefully by the end of this talk you'll see that math isn't just about getting the exact numbers, but also about saying exactly what you feel.
Length: 1 Hour
Prerequisites: Familiarity with proofs and high proficiency in calculus is strongly suggested.
Most of you have probably heard about the Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, ...) and how they are found practically everywhere in nature. But has anyone ever given you a convincing reason why? In this class, we will go through the history of the Fibonacci numbers and see for ourselves their allure through the ages, point out common misconceptions regarding their ubiquity, and finish up by giving a very "rational" reason for their emergence in the context of flower patterns and plant growth. No background necessary!--if you can reason about numbers, then you, too, can learn how nature "knows" math.
The bell curve occurs frequently in nature. Heights, weights, IQs and many other values have a bell shaped distribution. In this class, we will do a hands-on activity and discuss the mathematics behind this surprisingly common phenomenon.
A teacher wants to divide four students into groups. How many such divisions are possible? We will start with this simple counting question, and explore some of its ramifications. Along the way, we will solve more challenging problems and develop a few fantastic formulas.
Length: 1 Hour
Prerequisites: Preferably students should be familiar with combinations, the Inclusion-Exclusion Principle and recursive equations.
Computer security is always big news, but it's hard to get started without a proper introduction. This talk will be a brief immersion into one of the most technical areas in information security. We'll quickly cover the basics of C and x86 and talk in depth about memory corruption vulnerabilities on modern platforms. We will analyze several real vulnerabilities and write exploits for them. Many topics will be quickly covered as we discuss arbitrary code execution including: compilers, optimization, reverse engineering, smashing the stack, ASLR, NX, ROP, clowns and sorcery.
I want to give a short talk about the cardinality of the natural numbers and the real numbers, and show the students the diagonal argument. When I was first shown this proof it "blew my mind" and really sparked a long interest in Math, and I hope if I showed it to others, it could inspire them as well. If there is time, I would also go into the density of the rationals and their cardinality as well.
Fractals In the Limit! Exploring Fractals Using Iterated Function Systems.
Fractals are amazing forms that appear throughout the natural and mathematical worlds. How can we understand, define, and create them? In this class we'll look at one way of understanding fractals, as the result of iterated function systems. This will allow us to explore some of the defining features of fractals in more depth. We'll dive into the math behind why Iterated Function systems produce fractals. We'll end up talking about things like the "distance between two pictures", and what a "sequence of pictures" might be. Then, we'll see how Iterated Function Systems produce sequences of pictures that converge to fractals! Awesome.
Length: 1 Hour
Prerequisites: We'll be thinking about things fairly abstractly. Familiarity with sequences and limits is a plus. But we'll also be seeing a lot of neat fractals that require no prerequisites to appreciate.
We have delopved a color grading system in an attempt to indicate the overall difficulty of each talk. A green icon indicates that
anyone with a standard high-school mathematics background should be able to follow. A black icon indicates that the talk will be fast-paced, and that students without extra-curriculuar exposure to more advanced mathematics---through math camps, college courses, competition preparations, and so on---are likely to find the talk challenging. These are the two extremes, and blue and purple icons indicate the midpoints of the difficulty spectrum. It is, of course, impossible to determine the objective difficulty of a talk, and the icons should only be taken as a crude approximation. The best way to figure out whether the talk is at the right level for you is to talk to the lecturer. Instructors' emails are listed on this page, so ask away!
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Address
Organizer's Website
About This Activity
Algebraic thinking is an important strand of both the NCTM and the Common Core Math Standards. Yet, for many students, the abstract nature of algebra poses a formidable emotional and conceptual challenge. By providing students with Dr. Borenson's unique visual and kinesthetic approach, they actually understand the concepts and experience success, thereby enhancing their interest in mathematics. In this workshop you will see how Hands-On Equations demystifies the learning of algebra and thereby provides students with a solid foundation for algebraic thinking and for a traditional Algebra 1
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Foundations of Mathematical & Computational Economics
9780324235838
ISBN:
0324235836
Edition: 1 Pub Date: 2006 Publisher: Thomson Learning
Summary: Economics doesn't have to be a mystery anymore. FOUNDATIONS OF MATHEMATICAL AND COMPUTATION ECONOMICS shows you how mathematics impacts economics and econometrics using easy-to-understand language and plenty of examples. Plus, it goes in-depth into computation and computational economics so you'll know how to handle those situations in your first economics job. Get ready for both the test and the workforce with this ...economics textbook.
Dadkhah, Kamran is the author of Foundations of Mathematical & Computational Economics, published 2006 under ISBN 9780324235838 and 0324235836. Four hundred seventy four Foundations of Mathematical & Computational Economics textbooks are available for sale on ValoreBooks.com, one hundred twenty eight used from the cheapest price of $18.89, or buy new starting at $90.00.[read more
| 677.169 | 1 |
With more than 100 built-in functions, forms to enter matrix and list data, SCalc calculates matrix inversions, LU (QR) decompositions, definite integrals, derivatives and zeros of simple functions. Solve a system of linear equations using QRS operation. Draw 15 graphs/plots, compute 10 commands. Switch to increasingly complex layouts, solve equations and compute special functions.Draw parametric, cartesian and polar graphs. Zoom in and zoom out with a display of scale and zoom level used. Track graph functions. Stretch and compact graphs along the y-axis. Compute commands like integrations, derivatives, maxima and minima along with drawings of results on the graphics screen. Also obtain samples of x-y data of graphs or functions. Using x-y data, curve-fit and plot. Use 3 choice backgrounds and draw with a selection of colors. Compute list functions, exponential functions, statistical, and various special functions. Define your own functions and variables, store them on external SD card and reload them back into internal memory. Do multiple conversions between primary units. Compute properties of simple geometric figures. Install or move the application to an SD card.Choose any previous command from a history list. Read the built-in function list -- upon long pressing the result -- and the helpful summary information to bring the function into input. Use help to determine valid values for the parameters for built-in functions.With recent improvements, swipe left and swipe right on the special function keys to find the keys you want easily. Position the coordinate lines precisely with left and right arrow controls on the graph screen. Find the scale and zoom level upon touch in a floating window display. Pinch with two fingers to zoom in and zoom out of the graphs. To find zero, repeatedly touch the result (R button) on graphics screen. If possible, you can find different zeros each time within a given range.With SCalc , you do not need to visit a help website or usage manual as plenty of easy to read instructions are provided with every step of calculation. These help messages can be turned off once you are familiar with the usage. When there is an error in the input, SCalc highlights the exact location of error in the input. Care has been taken in the design of the interface, so users with or without a keyboard can get the same functionality and ease of use.To use international versions, set the input language for on screen keyboard to be English
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Instructional Plan/Activity: Students discussed several properties previously, but today we'll focus specifically on the Distributive Property. It is essential for understanding Algebra I.
27
Tue
Algebra I
Tuesday
FW/CCSS: ACED1
Lesson Obj./Outcome: Introduction to Equations pp. 56-57, problems:
Instructional Plan/Activity: Students will learn what an equation is. They'll practice determining if a given number is or is not a solution to a given equation. They'll also be asked to solve easy equations using mental math.
28
Wed
Algebra I
Wednesday
FW/CCSS: NQ1-3, FIF1,2,3,5, FBF1, ASSE1, NRN3, ACED1, ASSE1a
Lesson Obj./Outcome: Review Study Guide for Chapter 1 Test Tomorrow study over items listed on study guide, get study guide signed
Instructional Plan/Activity: We'll review everything we have discussed in Chapter 1. Students will receive a study guide listing the items that will be tested tomorrow. the test will be worth 100 points and students may receive 5 bonus points if they return tomorrow with their study guide signed.
29
Thu
Algebra I
Thursday
FW/CCSS: NQ1-3, FIF1,2,3,5, FBF1, ASSE1, NRN3, ASSE1a, ACED1
Lesson Obj./Outcome: CHAPTER 1 TEST (100 POINTS)
Materials/Resources: calculator, pencil
Instructional Strategies: none
Differentiation Methods: none
Extension Methods: none
Planned Assessments: T
Assignments/Homework: none
Instructional Plan/Activity: Students will take their test over Chapter 1.
Instructional Plan/Activity: Students will begin Chapter 2 by discussing solving equations using only one step. Some will be so easy that they may be solved mentally and others will require some calculating. Students will learn how to structure their equations now, so that when they have multiple steps, they can keep their work organized and neat.
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The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts... more...
Suitable for researchers and students in science, business, economics, and engineering, this best-selling book provides an introduction to scientific programming, stochastic modeling, and simulation using R. This second edition contains new chapters on ordinary differential equations and Markov chains, including simulation. It also adds material on... more...
Breaking new ground in parallel mesh generation research, this text presents both the theoretical foundations and practical aspects related to the implementation of the methods used on current and emerging architectures within this field. Never before has any other book attempted to exclusively cover this important topic. With over twenty years of... more...
This book shows how the free and open-source R environment can be used as a powerful and comprehensive platform for the kinds of numerical analysis that are traditionally employed by MATLAB ® . With R code fully integrated, the book offers brief descriptions of basic approaches and emphasizes detailed worked examples. It covers functions in the base... more...
The mathematics of ancient Egypt was fundamentally different from our math today. Contrary to what people might think, it wasn?t a primitive forerunner of modern mathematics. In fact, it can?t be understood using our current computational methods. Count Like an Egyptian provides a fun, hands-on introduction to the intuitive and often-surprising... more...
The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. This book focus on these aspects. more...
Biometrics, the science of using physical traits to identify individuals, is playing an increasing role in our security-conscious society and across the globe. Biometric authentication, or bioauthentication, systems are being used to secure everything from amusement parks to bank accounts to military installations. Yet developments in this field have... more...
Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." — SIAM... more...
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There are three categories in the Elementary Algebra Test. The first category, operations with integers and rational numbers, includes computation with integers and negative rationals, the use of absolute values, and ordering. The second category is operations with algebraic expressions. It tests your skills in evaluating simple formulas and expressions, and in adding and subtracting monomials and polynomials.
Both these categories include questions about multiplying and dividing monomials and polynomials, evaluating positive rational roots and exponents, simplifying algebraic fractions, and factoring. The third category tests skills in solving equations, inequalities, and word problems.
These questions include solving systems of linear equations, quadratic equations by factoring, verbal problems presented in algebraic context, geometric reasoning, the translation of written phrases into algebraic expressions, and graphing. 12-16 questions are presented.
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Analytic Combinatorics [NOOK Book] ...
More About
This Book generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
What People Are SayingEditorial Reviews
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Windows software designed to introduce linear equations and basic algebra, bringing together many of the requirements of the grades 7-10 math curriculum or providing a review of fundamentals for adults. Levels 1-2 include addition, subtraction, multiplication, and division facts up to 9, and the decimal concept 0.5; higher levels gradually introduce more terms, integers, double-digit numbers, estimation, rounding, brackets, and fractions.
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books.google.com - Here is a complete self-teaching guide for anyone needing knowledge of math as it applies to engineering and technical fields. ... Math Demystified
About the author (2006)
Stan Gibilisco is the author of several important scientific books, including Understanding Einstein's Theory of Relativity and Teach Yourself Electricity and Electronics. While his primary interests are in technical and scientific fields, his passion has always been writing. He has worked as vice president of an electronic company and explains the exciting field of electronics in clear and complete terms. Gibilisco was born on September 26, 1953 in Birmingham, Ala. and educated at the University of Minnesota.
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A First Course in Complex Analysis
These are the lecture notes of a one-semester undergraduate course which we taught at SUNY Binghamton and San Francisco State.
For many of our students, Complex Analysis is their first rigorous analysis (if not mathematics) class they take, and these
notes reflect this very much. We tried to rely on as few concepts from real analysis as possible. In particular,
series and sequences are treated "from scratch." This also has the (maybe disadvantageous) consequence that power series
are introduced very late in the course.
Copyright 2002-2012 by the authors. All rights reserved.
This book may be
freely reproduced and distributed, provided that it is reproduced in its
entirety from the most recent version. This book may not be altered in any
way, except for changes in format required for printing or other
distribution, without the permission of the authors.
"First, it is neccessary to study the facts, to multiply the number of observations, and then later to search for
formulas that connect them so as thus to discern the particular laws governing a certain class of phenomena.
In general, it is not until after these particular laws have been established that one can expect to discover
and articulate the more general laws that complete theories by bringing a multitude of apparently very diverse
phenomena together under a single governing principle."
Augustin Louis Cauchy
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Introduces the student to the scope of mathematics as a profession, develops a sense of mathematical curiosity and problem solving skills, identifies and reinforces the student's career choices, and provides a mechanism for regular academic advising. Provides integration with oth...
This course allows students to discover, explore, and apply modern mathematical ideas. Emphasis is placed on using sound reasoning skills, visualizing mathematical concepts, and communicating mathematical ideas effectively. Classroom discussion and group work on challenging pro...
Analytic geometry. Functions and their graphs. Limits and continuity. Derivatives of algebraic, trigonometric and inverse trigonometric functions. Applications of the derivative. Introduction to integrals and their applications.
Transcendental functions and their calculus. Integration techniques. Applications of the integral. Indeterminate forms and improper integrals. Polar coordinates. Numerical series and power series expansions.
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TI InterActive! is a new product that enables high school and college teachers and students to easily investigate ideas in mathematics and science. The purpose of this workbook is to introduce algebra... More: lessons, discussions, ratings, reviews,...
A video that focuses on the TI-Nspire graphing calculator in the context of teaching algebra. In this program the TI-Nspire is used to explore the nature of linear functions. Examples ranging from ... More: lessons, discussions, ratings, reviews,...
This application is a basic tool for learning algebra. Users try to solve a system of linear equations with two equations and two unknown variables. It is based on the same problem used in the free ap... More: lessons, discussions, ratings, reviews,...
MathPoint is a suite of math tools for students in grades 6 through 12 and college including color graphing, graphing calculator and interactive solving, and an open library for lessons and activit... More: lessons, discussions, ratings, reviews,...
Students explore the relationship between equations and their graphs in this hands-on learning environment where they investigate, manipulate, and understand linear, quadratic and other graphs. They ... More: lessons, discussions, ratings, reviews,...
Infinite Algebra 1 is a test and worksheet generator for algebra teachers. Example problems, assignments, and assessments are designed by the teacher by selecting the topics to include and the exac... More: lessons, discussions, ratings, reviews,...
A user may enter math problems into the program and the output is a step-by-step solution. It's used primarily for solving expressions, relations, factoring, systems of relations, and other step-by-sMathpad is a stand alone math text editor. For math teachers, it can be used to create math quizzes, tests, and handouts. Also you can save any math expression or text as an image for inclusion i... More: lessons, discussions, ratings, reviews,...
Cram is test preparation software to use on a mobile device. It allows you to create, import, share, and study for tests. Cram is suited for studying for job training, certifications, homework help, t...MathTrick Trainer is a math/mental training program for all age groups. It is a flash card with unlimited randomly generated math quizes, correct answer is provided as you advances through the quiz... More: lessons, discussions, ratings, reviews,...
This site allows one access per day per computer free of charge. This applet allows students to graph up to six different linear inequalities in six different colors with solid or broken lines. The s... More: lessons, discussions, ratings, reviews,...
This is a pay for use site. You are permitted one free access per computer per day. In this activity, students divide exponential expressions by dragging and dropping the next step in the process into... More: lessons, discussions, ratings, reviews,...
This is a pay for use site, but you may access it once a day per computer for free. In this exercise, students are required to raise a product to a power by dragging and dropping the correct next ste... More: lessons, discussions, ratings, reviews,...
Commercial site with one free access a day. Students use mapping diagram to create a relation, then they can check if it is a function from the mapping diagram, ordered pairs and graph. After studen
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Document Actions
Problem Sessions
Spring 2014
Hours & Topics
The Dolciani Mathematics Learning Center offers a Problem Session Series in each of five different courses. Each of these series is offered several times each week, day and evening hours, as well as Saturdays. Facilitators are experienced instructors and tutors.
MATH 125
(Pre-Calculus) In these sessions we discuss and explore the concepts in pre-calculus. Questions posed in the session are designed to help you tune up the critical thinking and problem solving skills needed to be successful in MATH 125.
MATH 150
(Calculus with Analytic Geometry) These sessions are conducted with small group activities. The problems presented will help you develop your calculus skills and help you better determine what you understand and what will require more work.
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This algebra unit from illuminations provides an in depth exploration of exponential models in context. The model of light passing through water is used to demonstrate exponential functions and related mathematical...
This interdisciplinary lesson uses musical terms and concepts to teach algebra and geometry. Students will analyze musical scales and frequencies generated by a geometric sequence, and relate sine waves to musical...
This interdisciplinary lesson ties earth science concepts in with algebra. The forest-fire danger rating index is applied to a mathematical model. Students will learn real-world meaning of the intercepts and slope in...
This lesson will help students understand the law of cosines and the Pythagorean theorem. The material has students find out whether a triangle is acute, obtuse, or right; determine a formula for the law of cosines to...
This lesson from Illuminations helps illustrate recursive sequences. The interdisciplinary lesson uses elements from the short story The Devil and Daniel Webster by Stephen Vincent Benet. A mathematical game has been...
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Intermediate Algebra With Early Functions and Graphing
9780321064592
0321064593
Summary: The Lial/Hornsby developmental mathematics paperback series has helped thousands of students succeed in math. In keeping with its proven track record, this revision includes a sharp new design, many new exercises and applications, and several new features to enhance student learning. Among the features added or revised include a new Study Skills Workbook, a Diagnostic Pretest, Chapter Openers, Test Your Word Power, F...ocus on Real-Data Applications, and increased use of the authors' six-step problem solving process.
Lial, Margaret L. is the author of Intermediate Algebra With Early Functions and Graphing, published 2001 under ISBN 9780321064592 and 0321064593. Thirty one Intermediate Algebra With Early Functions and Graphing textbooks are available for sale on ValoreBooks.com, twenty eight used from the cheapest price of $0.01, or buy new starting at $22.14 In the original shrink wrapping. Book and MYMathLab unopened. NO remainder markings. A brand... [more]NEW. In the original shrink wrapping. Book and MYMathLab unopened. NO remainder markings. A brand new book perfect inside and out
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The authors' thoroughly explain and illustrate each new idea when it is first introduced and then reinforce the new idea or concept by having students work related problems.
For undergraduate and graduate courses in derivatives, options and futures, financial engineering, financial mathematics, and risk management. Designed to bridge the gap between theory and practice, this highly successful book is regarded is the standard reference on trading floors and in academic classrooms throughout the world.
Building on the foundations laid in the companion text Modern Engineering Mathematics, this book gives an extensive treatment of some of the advanced areas of mathematics that have applications in various fields of engineering, particularly as tools for computer-based system modelling, analysis and design. The philosophy of learning by doing helps students develop the ability to use mathematics with understanding to solve engineering problems. A wealth of engineering examples and the integration of MATLAB and MAPLE further support students.
Study more effectively and improve your performance at exam time with this comprehensive guide! Written by Susan McMurry, the Study Guide and SolutionsManual provide answers and explanations to all in-text and end-of-chapter exercises. Content has been updated to match the new in-text and end-of-chapter exercises.
The tenth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.
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This 102-page PDF file addresses mathematical thinking. The goals of this publication are to outline and substantiate a broad conceptualization of what it means to think mathematically, to summarize the literature relevant to understanding mathematical thinking and problem solving, and to point to new directions in research, development and assessment consonant with an emerging understanding of mathematical thinking and instruction goals.
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Introduction to Numerical Methods and Analysis
9780470049631
ISBN:
0470049634
Pub Date: 2007 Publisher: John Wiley & Sons Inc
Summary: Praise for the First Edition". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." -Zentrablatt Math". . . carefully structured with many detailed worked examples . . ." -The Mathematical Gazette". . . an up-to-date and user-friendly account . . ." -MathematikaAn Introduction to Numerical Methods and Analysis addresses the mat...hematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics.A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth.The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.
Epperson, James F. is the author of Introduction to Numerical Methods and Analysis, published 2007 under ISBN 9780470049631 and 0470049634. Fifteen Introduction to Numerical Methods and Analysis textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $70.28, or buy new starting at $73.17
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Geometric and Engineering Drawing is an established text suitable for GCSE and basic engineering courses. This book aims to cover the whole range of subject matter relevant to introductory courses in technical drawing, with diagrams free of irrelevant information and a large number of examples of an appropriate standard, many of them taken from past examination papers.
Each of this books lessons contains one or more Try It sections that enable you to practice the concepts covered by that lesson. The Try It includes a highlevel overview, requirements, and stepbystep instructions explaining how to build the example.This DVD contains video screencasts showing a computer screen as we work through key pieces of the Try Its from each lesson. In the audio we explain what were doing stepbystep so you can see how the techniques described in the lesson translate into actions. (Note that Lesson 4 does not have an accompanying video lesson.)
Regardless of which medium you prefer or what your project may be, drawing is essential to give your art a solid foundation. Learn the fundamentals of drawing to the detailed final touches; ideal for any skill level. You can trust Drawing magazine to be your single source for everything related to drawing.
This course provides a comprehensive overview of the principles and basic marketing skills. Students will learn how marketing managers develop strategy, research consumer needs and identify target markets. In addition to covering the importance of global marketing and e-commerce, students will learn how to meet market opportunities with'' 4'' Ps - product, price, promotion and placement. Each video lesson includes a company ora case study of the organization with the core learning objectives. As each case study unfolds, students learn general concepts, definitions of terms history, product or service, and the latest trends in marketing. The study guide reinforces the content of the manual and video lesson, and includes exercises and practice drill foranall inclusive learning experience.
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Units
Summary: This module is part of a collection of modules intended for use by students enrolled in a PreCalculus (MATH 1508) at the University of Texas at El Paso.
Units
Introduction
Engineering is a field of study that involves a very high level of calculations. Thus students of engineering must become familiar with a wide range of formulas and computational methods. Virtually all the calculations that engineers perform involve the use of units. Because many calculations involve the use of multiple units, an engineer must become competent in the process of unit conversions. Unit conversions allow an engineer with the ability to convert units in one system of measurement (say, the British system of measure) to those of another system (say, the System Internationale or SI system of measure.)
Units and unit conversion are important not just to engineers, but all members of society. Everyday activities such as driving an automobile, shopping at a grocery store, or visiting an pharmacy illustrate situations where an individual experiences units and unit conversions. Let us consider driving an automobile. A simple glance at a vehicle's speedometer reveals that the speed of the vehicle can be expressed in the units miles/hour or kilometers/hour. Depending upon the country in which you reside, gasoline is sold in the units of gallons or liters. At the grocery store, the volume of a can of your favorite soda is often expressed in terms of ounces or milliliters. Likewise, the dosage of cough syrup that you obtain from your local pharmacy can be expressed in terms of the units ounces or milliliters. This list of examples from everyday life that involve units can be expanded without bound.
Whenever an engineer deals with a physical quantity, it is essential that units be included. Units are especially important to engineers for they provide the ability for engineers to express their thoughts precisely and to provide meaning to the numerical values that result from engineering calculations. Units provide a means for engineers to communicate results among other engineers as well as laymen.
Units are an integral part of what could be called the language of engineering. As a student of engineering, you should become accustomed to the inclusion of units with virtually all your answers to engineering problems. Failure to include units with your numerical results can lead to your having points deducted from your grades on assignments, laboratory exercises and examinations.
Metric Mishaps
Failing to include the proper units with the results of engineering calculations can lead to unanticipated failures in engineering systems. Serious errors that result from the dual usage of metric and non-metric units are often grouped under the heading of metric mishaps. Some common examples of metric mishaps include the following:
According to the National Transportation Safety Board, confusion surrounding the use of pounds and kilograms often results in aircraft being overloaded and unsuited for flight.
The Institute for Safe Medication Practices has reported that confusion between the units grains and grams is a common reason for errors associated with the dosage of medication.
A Notable Engineering Failure: The NASA Mars Climate Orbiter
In 1999, NASA experienced the failure of its Mars Climate Orbitor spacecraft because a Lockheed Martin engineering team used English units of measurement while a NASA engineering team used the more conventional metric system for a key spacecraft operation. (NASA, 1999). This mismatch in units prevented the navigation information from transferring properly as in moved between the Mars Climate Orbiter spacecraft team in at a Lockheed Martin ground station in Denver and the flight team at NASA's Jet Propulsion Laboratory in Pasadena, California.
Working with NASA and other contractors, Lockheed Martin helped build, develop and operate the spacecraft for NASA. Its engineers provided navigation commands for Climate Orbiters thrusters in British units although NASA had been using the metric system predominantly since at least 1990.
After a 286 day journey, the spacecraft neared the planet Mars. As the spacecraft approached the surface of Mars, it fired its propulsion engine to push itself into orbit. Instead of the recommended 276 kilometer orbit, the spacecraft entered an orbit of approximately 57 kilometers. Because the spacecraft was not in the proper orbit, its propulsion system overheated and was subsequently disabled. This allowed the Mars Climate Orbiter to plow through the atmosphere out beyond Mars. It is theorized that it could now be orbiting the sun
The primary cause of this discrepancy was human error. Specifically, the flight system software on the Mars Climate Orbiter was written to calculate thruster performance using the metric unit Newtons (N), while the ground crew was entering course correction and thruster data using the Imperial measure Pound-force (lbf). This error has since been known as the metric mixup and has been carefully avoided in all missions since by NASA.
Unit Conversion Procedure
The process of transforming from one unit of measure to another is called unit conversion. One can easily perform unit conversion using the procedure that will be presented in this section. You will soon discover that performing unit conversion can be reduced to multiplying one measurement by a carefully selected form of the integer 1 to produce the desired measurement.
Prior to presenting the procedure of unit conversion, it is important to understand a simple fact. Numbers with units such as 25.2 kilometers or 36.7 miles can be thought of and treated in exactly the same manner as coefficients that multiply variables, such as 25.2 x or 36.7 y. Of course here, x and y are variables.
From Algebra, we know that we can always multiply a quantity by 1 and retain its value. The key idea of unit conversion is to choose carefully the form of 1 that is used. We will illustrate this idea by means of an example.
Suppose that we wish to convert 25.2 kilometers to miles. In order to accomplish this conversion of units, it is important that one know the following information
Thus we establish the result that 25.2 km is equivalent to 15.65 miles.
In obtaining the result, we developed a fraction that was equal to the integer 1. We then multiplied our original quantity by that fraction to give rise to our result. This is the basic idea behind unit conversion.
A Two-Step Procedure for Producing Correct Unit Conversion Factors
Here we will present a simple two-step procedure that produces the conversion factor that can be used to convert between a given unit and a desired unit. For the purpose of illustration, let us use the conversion between the given unit (pounds) and the (desired) unit of kg.
Step 1: We begin by writing an equation that relates the given unit and the required unit.
So to covert from pounds to kg we may use this as the proper conversion factor.
Another Notable Engineering Failure: The "Gimli Glider"
Like the NASA Mars Climate Orbiter, the "Gimli Glider" incident is an engineering failure that can be attributed directly to the errors involving the mismatch of units. The "Gimli Glider" is the nickname of the Air Canada commercial aircraft that was involved in an incident that took place on July 23, 1983. In the incident, a Boeing 767 passenger jet ran out of fuel at an altitude of 26,000 feet, about midway through its flight from Montreal to Edmundton via Ottawa. The aircraft safely landed at a former Canadian Air Force base in Gimli, Manitoba, thus contributing to the nickname associated with the aircraft. (New York Times, 1983) We will trace some of the steps that led to the incident while making use of data drawn from the website (Wikipedia).
Air Canada Flight 143 originated in Montreal. It safely arrived in Ottawa on its first leg. At that time, the pilot properly determined that the second leg of the flight (from Ottawa to Edmundton) would require 22,300 kilograms of jet fuel. The ground crew at the Ottawa airport, performed a dipstick check on the fuel tanks. They measured that there were 7,682 liters of fuel onboard the aircraft upon its arrival to Ottawa.
Based on these data, the air and ground crew proceeded to calculate the amount of jet fuel that would need to be transferred to the fuel tanks in order to assure safe arrival in Edmundton. However, they used an incorrect conversion factor in their calculations. At the time of the incident Canada was converting from the Imperial system of measurement to the metric system. The new Boeing 767 aircraft were the first of the Air Canada fleet to calibrated to the new system, using kilograms and liters rather than pounds and Imperial gallons.
The crew wished to convert the 7,682 liters of fuel to its equivalent went in kilograms. In order to do so the crew applied an incorrect conversion factor (1 liter of fuel weighs 1.77 kg.) Actually, 1 liter of fuel weighs 0.803 pounds, but the crew used an improper weight.
The crew inaccurately calculated ed the weight of the fuel onboard the aircraft to be 13,597 kilograms. The erroneous calculation is shown below.
Finally, the volume of fuel in liters that needed to be transferred to the fuel tanks before departure for Edmundton was calculated. Once again, the erroroneous conversion factor was used as shown below
As consequence of these steps, the ground crew transferred 4,916 liters of jet fuel into the fuel tanks. Both the air and ground crews incorrectly believed that this volume of jet fuel (4,916 liters) would be sufficient to insure a safe arrival in Edmundton. Unfortunately, the sequence of calculations contained errors and the aircraft was forced to glide to a safe landing well short of its desired target.
Let us now examine the steps of calculation that should have been performed and that would have enabled a safe landing of the aircraft in Edmundton. We first determine the correct weight of fuel that remained in the fuel tanks upon the aircraft's arrival in Ottawa. Here, we use the proper conversion information. That is one liter of jet fuel weighs 0.803 kilograms.
So only 6,169 kilograms of fuel remained in the fuel tank when the aircraft landed in Ottawa. The next step involves the determination of how much fuel needed to be transferred to the fuel tank in order to accomplish the flight to Edmundton. This is properly computed by differencing the weight of the fuel needed to accomplish the flight to Edmundton and the weight of the fuel remaining in the fuel tanks.
Thus a quantity of jet fuel weighing 16,131 needed to be transferred by the ground crew into the fuel tanks in order to insure the safe arrival of the aircraft in Edmundton. This weight of fuel (kilograms) can be converted to a volume (liters) as follows
We conclude that 20,088 liters of fuel needed to be transferred to the fuel tank to successfully complete the leg of the flight from Ottawa to Edmundton. This represents approximately 4 times as many liters of fuel as was incorrectly calculated by the air and ground crew in 1983. The inadequacy in the provisioning of fuel resulted in the "Gimli Glider" having to perform an emergency landing well short of its desired arrival location. Due to some skillful piloting of the aircraft, no one onboard was seriously injured.
Summary
This chapter has attempted to illustrate the level of importance that engineering students should assign to the topic of units. In addition, a procedure that allows for the conversion of a quantity expressed in one unit to another unit has been presented. This method is quite simple in that all it requires is that one multiply the quantity expressed in the original unit to be multiplied by a fractional form that is equal to the integer 1. A process for correctly determining the proper fractional form is presented also.
Engineering students should view mastering the topic of units as an importance step in their formal education as an engineer. They should keep in mind that virtually all problems in engineering courses will involve solutions that include units.
Events surrounding the NASA Mars Climate Orbiter and the "Gimli Glider" show how seemingly small mistakes involving units and conversion factors can cause failures to complex systems.
Exercises
How many millimeters, centimeters and meters are in 62.8 inches? Use 1 inch = 2.54 centimeters. Express each answer using 3 significant digits of accuracy.
Find the range of temperature in degrees Fahrenheit (⁰F) for the following range of temperatures in degrees centigrade/Celsius (⁰C): -15⁰C to +25⁰C .
"Normal" body temperature is said to be 98.6⁰F + 0.6⁰F. Convert these values to Celsius and give the answer in terms of minimum and maximum values.
If a computer file is 8.2 gigabytes and the effective transfer rate is 41 megabits per second, how long does it take to transfer the file from one location to another? Assume that 1 byte = 8 bits.
Homeostasis is the condition of keeping our bodies alive by regulating its internal temperature and maintaining a stable environment. Approximately 2,000 calories per day are required to maintain the human body. It is known that 1 calorie is equivalent to 4.184 joules and that one watt is equivalent to one joule per second. Determine the number of watts that are equivalent to 2,000 calories/day
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This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus,...
see more
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.
A collection of mathlets for Precalculus, Single Variable Calculus, Multivariable Calculus and Vector Analysis, Parametric...
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A collection of mathlets for Precalculus, Single Variable Calculus, Multivariable Calculus and Vector Analysis, Parametric Curves and Surfaces, Derivatives, Integrals and Integration Theorems, and Topology and Geometry.
This website is intended to provide extra learning resources in algebra for middle school and high school students. The...
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This website is intended to provide extra learning resources in algebra for middle school and high school students. The approach is to teach math concepts in basic terms using examples and diagrams, if necessary.
This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of...
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This is a collection of activities for use in precalculus and single variable calculus. It is prefaced by a brief summary of what I know about group learning and how I use the activities. Many activities are quick combinations of discovery and practice. The statistics gets a bit lengthy, but I thought I'd include it anyway. As far as I recall, my text is only mentioned once and this posting should not be considered a commercial. Use the activities any way you want.
The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems...
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The CCP includes modules that combine the flexibility and connectivity of the Web with the power of computer algebra systems such as Maple, Mathematica, MatLab and MathCad. The single-topic units can be used for a two-hour lab, or for a shorter supervised period with follow-up on the student's own time, or for self-study. Modules are organized into areas of precalculus, differential calculus, integral calculus, multivariable calculus, linear algebra, differential equations and engineering mathematics. Applications include those in biology, chemistry, physics, engineering, economics and environmental science.
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ctory Combinatorics
Focusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern ...Show synopsisFocusing on the core material of value to students in a wide variety of fields, this book presents a broad comprehensive survey of modern combinatorics at an introductory level. The author begins with an introduction of concepts fundamental to all branches of combinatorics in the context of combinatorial enumeration. Chapter 2 is devoted to enumeration problems that involve counting the number of equivalence classes of an equivalence relation. Chapter 3 discusses somewhat less direct methods of enumeration, the principle of inclusion and exclusion and generating functions. The remainder of the book is devoted to a study of combinatorial structures
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LEARNING CALCULUS JUST GOT A LOT EASIER!
Here's an innovative shortcut to gaining a more intuitive understanding of both differential and integral calculus. In Calculus Demystified an experienced teacher and author of more than 30 books puts all the math background you need inside and uses practical examples, real data, and a totally different approach to mastering calculus.
With Calculus Demystified you ease into the subject one simple step at a time — at your own speed. A user-friendly, accessible style incorporating frequent reviews, assessments, and the actual application of ideas helps you to understand and retain all the important concepts.
THIS ONE-OF-A-KIND SELF-TEACHING TEXT OFFERS:
Questions at the end of each chapter and section to reinforce learning and pinpoint weaknesses
A 100-question final exam for self-assessment
Detailed examples and solutions
Numerous "Math Notes" and "You Try It" items to gauge progress and make learning more enjoyable
An easy-to-absorb style — perfect for those without a mathematics background
If you've been looking for a painless way to learn calculus, refresh your skills, or improve your classroom performance, your search ends here.
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Sets, Functions, and Logic: An Introduction to Abstract Mathematics
May 23, 2011 - 22:17 — Anonymous
Author(s):
K. Devlin
Publisher:
Chapman & Hall/CRC
Year:
2003
ISBN:
1-58488-449-5
Price (tentative):
$49,95
MSC main category:
00 General
Review:
This little book is the third revised edition of a textbook targeted at university students who have passed calculus courses and are entering the world of pure mathematics. The core of the text is a detailed explanation of basic mathematical concepts and notions, such as sets (up to concepts of denumerability and uncountability), operations on them, functions and relations. Also, mathematical notation is analyzed. There are parts written as an essay (What is mathematics and what does it do for us?) and short historical remarks - these should give a motivation rather than a complete account of the topic. The text is accompanied by a lot of exercises. The style is very narrative, sometimes too much, with the aim to motivate and persuade at every step. Therefore the book should even find interested high-school students among its readers.
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Elementary Algebra - 8th edition
Algebra is accessible and engaging with this popular text from Charles ?Pat? McKeague! ELEMENTARY ALGEBRA is infused with McKeague?s passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague?s attention to detail and exceptionally clear writing style help yo...show moreu to move through each new concept with ease. Real-world applications in every chapter of this user-friendly book highlight the relevance of what you are learning. And studying is easier than ever with the book?s multimedia learning resources, including ThomsonNOW for ELEMENTARY ALGEBRA, a personalized online learning companionSierra Nevada Books Reno, NV
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Book summary
This book is an adaptation of Stephen Wolfram's work, "Mathematica: A System for Doing Mathematics by Computer", second edition. This adaptation addresses the student's need for more concise and accessible information. The author has trimmed his book to nearly half its original length, focusing only on those functions and topics likely to be encountered in educational settings. At the same time, he has added examples to make certain discussions more understandable for students. [via]
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Book summary
This book presents a concise unified view of mathematics and its historical development. It is aimed at senior undergraduates - or other mathematicians - who have mastered the basic topics but wish to gain a better grasp of mathematics as a whole. Reasons for the emergence of the main fields of modern mathematics are identified, and connections between them are explained, by tracing the course of a few mathematical themes from ancient times down to the 20th century.
The emphasis is on history as a method for unifying and motivating mathematics, rather than as an end in iteself, and there is more mathematical detail than in other general histories. No historical expertise is assumed, and classical mathematics is rephrased in modern terms whenever it seems desirable. Nevertheless, there are copious references to original sources, and readers wishing to explore the classics for themselves will find it a useful guide.
An advantage of the unified approach is that it ties up loose ends and fills gaps in the standard undergraudate curriculum. Thus, readers can expect to add to their mathematical knowledge as well as gaining a new perspective on what they already know. [via]
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Better World Books via United States
Hardcover, ISBN 0387969810 Publisher: Springer Verlag, 1999 0387969810 Publisher: Springer-Verlag Telos, 1999 Springer-Verlag Telos. Used - Good. Former Library book. Shows some signs of wear, and may have some markings on the inside. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits world literacy!
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WAEC Mathematics Area of Concentration
WAEC Mathematics Topics
The listed topics are main topics you should focus on if you want to pass your WAEC mathematics exam. If you are looking for real WAEC math questions and answer, sorry this post is not for you.
For those who really want to understand mathematics and build a solid foundation in their future academic pursuit should make use these topics.
Make sure you have study and understand the topics. If you run into problem in any of the topics, you can post the problem in our question and answer section and you will receive a quick detail solution.
Bear in mind that there are many other sub-topics within these topics and I will advise you to dig in more into each topics so to understand the underlining principals and concepts behind the theory and practical
Many students are always afraid of mathematics but by believing you can do it and work very hard at the same time focusing more on what you should learn goes a long way to help you in your WAEC math questions.
WAEC Mathematics Topics to Concentration
1. Number And Numeration
2. Algebraic Processes
3. Plane Geometry
4. Trigonometry
5. Statistics And Probability
6. Vectors And Transformations in a Plane
If you need more help with your math study or you are looking to hire a season mathematics tutor online, kindly contact us and we will provide you with the best and you will see how easy it is to learn mathematics with a good teacher.
You can use our question section to ask for help with any question you face with WAEC math, NECO math and JAMB math.
We appreciate your comment(s)
ToscanyAcademy Toscanyacademy.com is a member contributed edublog that provides educational information to Nigerian students and students abroad. It also focuses on bringing teaching tools and resources to Nigerian teachers. Almost all the articles posted here were contributed by people who have passion in sharing their knowledge. If you wish to contribute your own article(s), you can use this email to contact us admin[at]toscanyacademy.com
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Math-Related Credit Crosswalk
for
Career Technical Education Classes
in Macomb County
Program Information
District: Chippewa Valley Schools
Program Name: Small Engines
CIP Code Number: 47.0606
Career Pathway: EMIT
Instructor Name: Rex Phelps
Date: 12/03/08
Strand STANDARDS CTE APPLICATION and PRACTICE
L1
REASONING ABOUT NUMBERS, SYSTEMS AND QUANTITATIVE LITERACY
L1.1 Number Systems and Number Sense
L1.1.1 Know the different properties that hold in Two Stroke engine measurements.
different number systems and recognize Shop math worksheet
that the applicable properties change in the Grade sheets
transition from the positive integers to all
integers, to the rational numbers, and to the
real numbers.
L1.1.2 Explain why the multiplicative inverse of a Two Stroke piston/cylinder measurements
number has the same sign as the number,
while the additive inverse has the opposite
sign.
L1.1.3 Explain how the properties of associativity, Two Stroke worksheet.
commutativity, and distributivity, as well as Oversize service limits
identity and inverse elements, are used in Shop math worksheet
arithmetic and algebraic calculations.
L1.1.4 Describe the reasons for the different Shop math worksheet
effects of multiplication by, or
exponentiation of, a positive number by a
number less than 0, a number between 0
and 1, and a number greater than 1.
L1.1.6 Explain the importance of the irrational Cylinder bore area
numbers √2 and √3 in basic right triangle Engine displacement calculations
trigonometry, the importance of ╥ because
of its role in circle relationships, and the role
of e in applications such as continuously
compounded interest.
L1.2 Representations and Relationships
L1.2.1 Use mathematical symbols (e.g., interval Cylinder bore area calculations
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notation, set notation, summation notation) Shop math worksheet
to represent quantitative relationships and
situations.
L1.2.2 Interpret representations that reflect Service manual reading
absolute value relationships (e.g.,│x-a│< b, Service limit ranges
or a± b) in such contexts as error tolerance.
L1.2.4 Organize and summarize a data set in a Horsepower vs. rpm charts
table, plot, chart, or spreadsheet; find Shop math worksheet
patterns in a display of data; understand Tool crib organization
and critique data displays in the media.
L1.3 Counting and Probabilistic Reasoning
L1.3.1 Describe, explain, and apply various Piston/cylinder wear predictions
counting techniques (e.g., finding the
number of different 4-letter passwords;
permutations; and combinations); relate
combinations to Pascal's triangle; know
when to use each technique.
L1.3.2 Define and interpret commonly used Career search / motivational survey
expressions of probability (e.g., chances of
an event, likelihood, odds).
L1.3.3 Recognize and explain common probability Career search / job trends
misconceptions such as "hot streaks" and
"being due."
Multiply and Divide Fractions
N.MR.06.01 Understand division of fractions as the Grade sheets
inverse of multiplication.
N.FL.06.02 Given an applied situation involving dividing Shop math worksheet
fractions, write a mathematical statement to
represent the situation.
N.MR.06.03 Solve for the unknown. Shop math worksheet
Two stroke worksheet
N.FL.06.04 Multiply and divide any two fractions, Shop math worksheet
including mixed numbers, fluently.
Represent Rational Numbers as Fractions or Decimals
N.ME.06.05 Order rational numbers and place them on Shop math worksheet
the number line. Measuring instruments
N.ME.06.06 Represent rational numbers as fractions or Shop math worksheet
terminating decimals when possible and Measuring instruments
translate between these representations.
N.ME.06.07 Understand that a fraction or a negative Shop math worksheet
fraction is a quotient of two integers. Measuring instruments
Add and Subtract Integers and Rational Numbers
N.ME.06.08 Understand integer subtraction as the Two stroke worksheet
inverse of integer addition. Understand
integer division as the inverse of integer
multiplication.
N.FL.06.09 Add and multiply integers between -10 and Two stroke power curve charts
10; subtract and divide integers using the
related facts. Use the number line and chip
models for addition and subtraction.
N.FL.06.10 Add, subtract, multiply and divide positive Grade sheets
rational numbers fluently. Two stroke worksheet.
Find Equivalent Ratios
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N.ME.06.11 Find equivalent ratios by scaling up or Electrical anolog multi-meter
scaling down.
Solve Decimal, Percentage and Rational Number Problems
N.FL.06.12 Calculate part of a number given the Grade sheets
percentage and the number. Gas/oil mixtures or two-stroke engines
N.MR.06.13 Solve contextual problems involving Customer work orders parts/labor
percentages such as sales taxes and tips.
N.FL.06.14 For applied situations, estimate the answers Customer work order estimates
to calculations involving operations with Shop math worksheet
rational numbers
N.FL.06.15 Solve applied problems that use the four Four stoke valve adjustment using shims
operations with appropriate decimal
numbers.
Understand Rational Numbers and Their Location on the Number Line
N.ME.06.17 Locate negative rational numbers (including Micrometer reading using various adaptors and
integers) on the number line. Know that standards
numbers and their negatives add to 0 and
are on opposite sides and at equal distance
from 0 on a number line.
N.ME.06.18 Understand that rational numbers are Shop math worksheet
quotients of integers (non zero
denominators).
N.ME.06.19 Understand that 0 is an integer that is Micrometer reading using various adaptors and
neither negative nor positive. standards.
N.ME.06.20 Know that the absolute value of a number is Two stroke worksheet
the value of the number ignoring the sign; or Cylinder taper and out of round
is the distance of the number from 0.
Understand Derived Quantities
N.MR.07.02 Solve problems involving derived quantities Syllabus /grading procedure
such as density, velocity and weighted
averages.
Understand and Solve Problems Involving Rates, Ratios, and Proportions
N.FL.07.03 Calculate rates of change including speed. Horsepower vs. rpm
Power curves
Engine design… bore vs. stroke, camshaft design
N.MR.07.04 Convert ratio quantities between different Torque wrench inch lbs./foot pounds
systems of units, such as feet per second to Metric/inch
miles per hour.
N.FL.07.05 Solve proportion problems using such Shop math worksheet
methods as unit rate, scaling, finding Service manual worksheets
equivalent fractions, and solving the
proportion equation a/b = c/d; know how to
see patterns about proportional situations in
tables.
Compute with Rational Numbers
N.FL.07.07 Solve problems involving operations with All worksheets
integers.
N.FL.07.08 Add, subtract, multiply and divide positive Most worksheets
and negative rational numbers fluently.
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N.FL.07.09 Estimate results of computations with Customer work orders
rational numbers.
Understand Real Number Concepts
N.ME.08.02 Understand meanings for zero and negative Measuring tools and instruments
integer exponents.
N.ME.08.03 Understand that in decimal form, rational Grade sheets
numbers either terminate or eventually Shop math worksheet
repeat, and that calculators truncate or
round repeating decimals; locate rational
numbers on the number line; know fraction
forms of common repeating decimals.
N.ME.08.04 Understand that irrational numbers are Grade sheets
those that cannot be expressed as the Four stroke cylinder bore and engine displacement
quotient of two integers, and cannot be calculations
represented by terminating or repeating
decimals; approximate the position of
familiar irrational numbers.
Solve Problems
N.MR.08.07 Understand percent increase and percent Customer purchase order worksheets
decrease in both sum and product form.
N.MR.08.08 Solve problems involving percent increases Customer purchase order worksheets
and decreases.
N.FL.08.09 Solve problems involving compounded
interest or multiple discounts.
N.MR.08.10 Calculate weighted averages such as Syllabus and grade sheets
course grades, consumer price indices and
sports ratings.
N.FL.08.11 Solve problems involving ratio units, such Four stroke basic physics
as miles per hour, dollars per pound or Two stroke fuel/oil mixtures
persons per square mile.
L2 STANDARDS CTE APPLICATION and PRACTICE
CALCULATION, ALGORITHMS, AND ESTIMATION
L2.1 Calculation Using Real and Complex Numbers
L2.1.1 Explain the meaning and uses of weighted Syllabus and grade work sheets
averages (e.g., GNP, consumer price index,
grade point average).
L2.1.2 Calculate fluently with numerical Four stroke engine displacement calculations
expressions involving exponents. Use the
rules of exponents, and evaluate numerical
expressions involving rational and negative
exponents, and transition easily between
roots and exponents.
L2.1.6 Recognize when exact answers aren't Compression and leakdown tests
always possible or practical. Use
appropriate algorithms to approximate
solutions to equations (e.g., to approximate
square roots).
L2.2 Sequences and Iteration
L2.2.3 Use iterative processes in such examples Compression and leakdown estimates
as computing compound interest or
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applying approximation procedures.
L3 STANDARDS CTE APPLICATION and PRACTICE
MEASUREMENT AND PRECISION
L3.1 Measurement Units, Calculations, and Scales
L3.1.1 Convert units of measurement within and Shop math worksheet
between systems; explain how arithmetic Service manual usage
operations on measurements affect units, Two stroke worksheet
and carry units through calculations
correctly.
L3.2 Understanding Error
L3.2.1 Determine what degree of accuracy is Four stroke valve adjustment and shim calculations
reasonable for measurements in a given
situation; express accuracy through use of
significant digits, error tolerance, or percent
of error; describe how errors in
measurements are magnified by
computation; recognize accumulated error
in applied situations.
L3.2.2 Describe and explain round-off error, Four stroke valve adjustment and shim calculations
rounding, and truncating. Grade sheets
L3.2.3 Know the meaning of and interpret Valve adjustment, flywheel / ignition coil clearances
statistical significance, margin of error, and
confidence level.
L4.1 Mathematical Reasoning
L4.1.1 Distinguish between inductive and Troubleshooting engine problems
deductive reasoning, identifying and Group work for cooperative units
providing examples of each.
L4.1.2 Differentiate between statistical arguments Troubleshooting engine problems
(statements verified empirically using
examples or data) and logical arguments
based on the rules of logic.
L4.1.3 Define and explain the roles of axioms Troubleshooting engine problems
(postulates), definitions, theorems,
counterexamples, and proofs in the logical
structure of mathematics. Identify and give
examples of each.
L4.2 Language and Laws of Logic
L4.2.1 Know and use the terms of basic logic (e.g., Syllabus and safety units
proposition, negation, truth and falsity,
implication, if and only if, contrapositive, and
converse).
L4.3 Proof
L4.3.3 Explain the difference between a necessary Syllabus/teacher lesson
and a sufficient condition within the
statement of a theorem. Determine the
correct conclusions based on interpreting a
theorem in which necessary or sufficient
conditions in the theorem or hypotheses are
satisfied.
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Convert within Measurement Systems
M.UN.06.01 Convert between basic units of Torque wrenches
measurement within a single measurement
system.
A1 STANDARDS CTE APPLICATION and PRACTICE
EXPRESSIONS, EQUATIONS, AND INEQUALITIES
A1.1 Construction, Interpretation, and Manipulation of Expressions (linear,
quadratic, polynomial, rational, power, exponential, logarithmic, and
trigonometric)
A1.1.1 Give a verbal description of an expression Shop math worksheet
that is presented in symbolic form, write an
algebraic expression from a verbal
description, and evaluate expressions given
values of the variables.
A1.1.2 Know the definitions and properties of Engine displacement calculations
exponents and roots and apply them in
algebraic expressions.
A1.1.3 Factor algebraic expressions using, for Shop math worksheet
example, greatest common factor, grouping,
and the special product identities (e.g.,
differences of squares and cubes).
A1.2 Solutions of Equations and Inequalities (linear, exponential, logarithmic,
quadratic, power, polynomial, and rational)
A1.2.1 Write and solve equations and inequalities Shop math worksheet
with one or two variables to represent
mathematical or applied situations.
A1.2.9 Know common formulas (e.g., slope, Shop math worksheet
distance between two points, quadratic Power curves for horsepower vs. rpm
formula, compound interest, distance = rate
· time), and apply appropriately in
contextual situations.
A2.4 Lines and Linear Functions
A2.4.2 Graph lines (including those of the form x = Power curve charts
h and y = k) given appropriate information.
A2.4.3 Relate the coefficients in a linear function to Power curve charts, usable horsepower
the slope and x- and y-intercepts of its
graph.
Calculate Rates - Algebra
A.PA.06.01 Solve applied problems involving rates, Power curve charts
including speed.
Use Variables, Write Expressions and Equations, and Combine Like Terms
A.FO.06.06 Represent information given in words using Troubleshooting unit
algebraic expressions and equations.
Represent Linear Functions Using Tables, Equations, and Graphs
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A.RP.06.08 Understand that relationships between Power curve charts
quantities can be suggested by graphs and
tables.
A.PA.06.09 Solve problems involving linear functions Power curve charts
whose input values are integers; write the
equation; graph the resulting ordered pairs
of integers.
A.RP.06.10 Represent simple relationships between Power curve charts
quantities using verbal descriptions,
formulas or equations, tables and graphs.
Understand and Apply Directly Proportional Relationships and Relate to
Linear Relationships - Algebra
A.AP.07.01 Recognize when information given in a Power curve charts
table, graph or formula suggests a directly
proportional or linear relationship.
A.PA.07.04 For directly proportional or linear situations, Calculating oil / fuel ratios
solve applied problems using graphs and Compression ratios
equations.
Understand and Solve Problems about Inversely Proportional Relationships
A.PA.07.09 Recognize inversely proportional Oil / fuel / air ratios
relationships in contextual situations; know
that quantities are inversely proportional if
their product is constant.
Apply Basic Properties of Real Numbers in Algebraic Contexts
A.PA.07.11 Understand and use basic properties of real Grade worksheets
numbers: additive and multiplicative
identities, additive and multiplicative
inverses commutativity, associativity, and
the distributive property of multiplication
over addition.
G1 STANDARDS CTE APPLICATION and PRACTICE
FIGURES AND THEIR PROPERTIES
G1.1 Lines and Angles; Basic Euclidean and Coordinate Geometry
G1.1.5 Given a line segment in terms of its Chain adjustment procedures on motorcycles. Both
endpoints in the coordinate plane, sides of the swing arm must come out equal lengths
determine its length and midpoint. and the chain must have proper slack.
G1.4 Quadrilaterals and Their Properties
G1.4.1 Solve multi-step problems and construct Riding mower, go- kart wheel alignment and steering
proofs involving angle measure, side length, adjustments.
diagonal length, perimeter, and area of
squares, rectangles, parallelograms, kites,
and trapezoids.
G1.6 Circles and Their Properties
G1.6.1 Solve multi-step problems involving Wheel lacing and different spoke patterns.
circumference and area of circles.
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G1.6.3 Solve problems and justify arguments about Wheel lacing and different spoke patterns.
central angles, inscribed angles, and
triangles in circles.
G2 STANDARDS CTE APPLICATION and PRACTICE
RELATIONSHIPS BETWEEN FIGURES
G2.1 Relationships Between Area and Volume Formulas
G2.1.3 Know and use the relationship between the Combustion chamber shapes, compression ratios,
volumes of pyramids and prisms (of equal bore versus stroke dimensions.
base and height) and cones and cylinders
(of equal base and height).
G3 STANDARDS CTE APPLICATION and PRACTICES
TRANSFORMATIONS OF FIGURES IN THE PLANE
G3.1 Distance-preserving Transformations: Isometries
G3.1.1 Define reflection, rotation, translation, and Making gaskets for multiple engines.
glide reflection and find the image of a
figure under a given isometry.
G3.1.2 Given two figures that are images of each Gasket making
other under an isometry, find the isometry
and describe it completely.
G3.1.3 Find the image of a figure under the Gasket making
composition of two or more isometries and
determine whether the resulting figure is a
reflection, rotation, translation, or glide
reflection image of the original figure.
Understand and Apply Basic Properties – Geometry
G.GS.06.01 Understand and apply basic properties of Wheel alignments, gasket making, chain tension
lines, angles and triangles, including: adjustments, engine design of bore vs. stroke, etc
triangle inequality; relationships of vertical
angles, complementary angles,
supplementary angles; congruence of
corresponding & alternate interior angles
when parallel lines are cut by a transversal,
and that such congruencies imply parallel
lines; locate interior and exterior angles of
any triangle, and use the property that an
exterior angle of a triangle is equal to the
sum of the remote (opposite) interior
angles; know that the sum of the exterior
angles of a convex polygon is 360 degrees.
Solve Problems about Geometric Figures
G.SR.08.03 Understand the definition of a circle; know Four stroke engine design…..determining engine
and use the formulas for circumference and displacement by bore area X stroke X number of
area of a circle to solve problems. cylinders.
Understand Concepts of Volume and Surface Area, and Apply Formulas
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G.SR.08.06 Know the volume formulas for generalized Calculations of engine displacement. Uses both
cylinders ((area of base) x height), metric and inch systems. Also used with combustion
generalized cones and pyramids (1/3 (area chamber shapes.
of base) x height), and spheres (4/3תּ
(radius) ) and apply them to solve problems.
S1 STANDARDS CTE APPLICATION and PRACTICE
UNIVARIATE DATA - EXAMINING DISTRIBUTIONS
S1.1 Producing and Interpreting Plots
S1.1.1 Construct and interpret dot plots, Examining power charts of engines using
histograms, relative frequency histograms, horsepower on the vertical and engine speed on the
bar graphs, basic control charts, and box horizontal lines. Charts are used to compare engine
plots with appropriate labels and scales; to engine, four-stroke to two-stroke, and
determine which kinds of plots are modifications to any particular engine.
appropriate for different types of data;
compare data sets and interpret differences
based on graphs and summary statistics.
S3 STANDARDS CTE APPLICATION and PRACTICE
SAMPLES, SURVEYS, AND EXPERIMENTS
S3.1 Data Collection and Analysis
S3.1.3 Distinguish between an observational study Used during engine troubleshooting unit and for lab
and an experimental study, and identify, in projects throughout open lab. Theories and
context, the conclusions that can be drawn observations are compared and added to test results
from each. using instrumentation.
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Summary: Written by a team of nationally known mathematics educators and mathematicians who have experience in teaching at the public school and university levels, this text builds on the recommendations of NCTM's Principles and Standards. It provides guidance in teaching content and developing processes in students from the middle school through high school. Its emphasis on mathematical modeling as an approach focuses on the development of the competencies needed to teach co...show morentemporary curricular materials in today's schools
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Enter any double integral function and this widget will calculate the answer. It does just what it says on the tin. So if you have homework that you need to double check, then look no further.
The widget tool is taken from the selection of tools that appears on my live worksheet app entitled Curve Sketching Multiple Integration, that appears on my wolfram alpha developer page.
Hope it proves helpful shows a table of derivative formulae, a table of integral formulae and a list of links to online derivative and integral calculators that can be opened in your android browser or another standard browser.The Wolfram General Chemistry Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram General Chemistry Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection.
Do you need an astronomy tool that does more than just show you pictures? Something that will actually help you with your school work? The Wolfram Astronomy Course Assistant provides a suite of useful tools for helping you in your introductory computational astronomy course. From fact checking to formulas, this app provides a convenient resource to help you complete your homework and study for tests. Answers are computed on the fly using input values you specify.
This app covers the following topics, applicable to college-level Astronomy 120 or any other introductory computational astronomy course:
- Get an overview of constellations, including the effects of proper motion - Learn the celestial reference points and their location in your sky - Explore solar system objects, properties, and dynamics - Study Moon phases, eclipses, and tides - Examine properties of over 100,000 stars, including distance, parallax, luminosity, and position on the Hertzsprung–Russell diagram - Learn about the seasons and when meteor showers occur - Access formulas such as Newton's and Kepler's laws, escape velocity, moments of inertia, angular momentum, and Einstein's famous E=mc^2 - Convert between wavelength and frequency, or find the energy of a photon - Understand the cosmological effects of universal expansion on light and the gravitational effects of black holes - Determine the probability of intelligent life on other worlds
The Wolfram Astronomy Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram Astronomy Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection.
This app covers the following topics applicable to linear algebra: - Solve an equation or a system of equations - Add or subtract any two vectors - Find the cross product or dot product for two vectors - Find the dimensions, transpose, adjugate, rank, inverse, determinant, and reduced row echelon form of a matrix - Calculate a matrix product - Add and subtract matrices - Compute linear transformations - Determine subspaces, including row space, column space, and null space - Find the characteristic equation, eigenvalues, and eigenvectors of a matrix
The Wolfram Linear Algebra Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram Linear Algebra Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection.
Taking your first mechanics of materials class? The Wolfram Mechanics of Materials Course Assistant will help you solve those tricky homework problems, prepare for your next exam, and be ready to tackle future courses! The Wolfram Mechanics of Materials Course Assistant solves your specific problems, performs unit conversions on the fly, and shows you the equations!
This app covers the following topics applicable to mechanics of materials, mechanics of deformable bodies, solid mechanics, mechanics and materials, and statics:
- Calculate the normal stress on and extensional strain in a body - Solve for the effects of temperature changes on a member - Search for material properties of alloys, plastics, and woods - Determine the Young's modulus, Poisson's ratio, and shear modulus of an object - Use Hooke's Law for uniaxial stress and plane stress and a generalized version to solve for a member's stress or strain - Evaluate axial deformation problems - Find the shear stress on circular bars, rectangular or elliptical shafts, and thin-walled members undergoing torsional forces - Determine the twist angles of torsion members - Calculate the extensional strain and flexural stress in pure bending beams - Solve for the deflection of statically determinate beams
The Wolfram Mechanics of Materials Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.
The Wolfram Mechanics of Materials Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 2G, 3G, 4G, or Wi-Fi connection live that appears on my live worksheet app entitled Vector ALgebra I, that appears on my developer page. Hope it proves helpful. Cheers, Mark
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In grades 6-8, the study of discrete mathematics may lead to explorations
of graph theory.
Graph theory problems appropriate for middle-school students are listed
below. Other graph theory problems that might be adapted for use in the
middle-school classroom can be found in the Discrete Math Problem of the
Week.
For relevant sites on the Web, browse and search
Graph Theory
in our Internet Mathematics Library; to find middle-school
sites, go to the bottom of the page, set the searcher for middle school
(6-8), and press the Search button.
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Pre Algebra Help
A thorough understanding of pre algebra help topics is essential to kick start your way towards learning algebra. Primary school graders should familiarize themselves with the below pre algebra helptopics as this will make it easier for them to handle difficult algebra concepts later. So, get a piece of paper and pen ready and succeed in your pre algebra classes.
If you would like to share any article, feel free to syndicate it with a link to the article or to our algebra help site ,stating its ownership. Legal action will be taken against those who do not do so. For more information on linking, please go to 'link to us' link found below.
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Course description:Algebra 1 develops the structure of the real number system through the study of the different techniques used to solve and graph linear and quadratic equations, inequalities, and to simplify and factor algebraic expressions.Students will learn to solve problems that exist in the real world by using algebra.Development of critical thinking skills and the ability to communicate math are emphasized.
Expectations of student learning (TEKS):are available online at
Textbook:McDougal Littell Algebra 1.Also available on the web at
Supplies needed every day: Composition Book for notes/homework/reflections, Practice Workbook (you will get these at school), pencils/erasers, RED pen, Guyer High School agenda.A calculator is recommended for home use.Calculators will be available for student use during class, but may not be checked out or taken home.
The next items will be assigned per classroom :
1st- (box of tissue)5th- (6 glue sticks/2 tape)
A2-(germex/tissue)B2-(4 AAA batteries),
A3-(roll of paper towels B4-(dry erase markers-different colors).
and graph paper/paper)
Grading policy:Homework/daily work:20%
Quizzes:30%
Tests/projects:50% (Progress report after 3 weeks of each six weeks)
Late homework policy: Late work will only be accepted through the ZAP program.
ZAP: "Zeroes Aren't Permitted" is the homework completion program Algebra 1 has adopted. Throughout the week, if a student does not bring their completed homework, they are then "zapped." The ZAP report is submitted to the AP and the parents are contacted. On Tuesday of that week or the next, the student will report to my room immediately before school where they will complete their assignment for up to a 70 as a grade. The student is required to stay for the full session. ZAP is a priority over any other activities. Non-attendance to ZAP will be reported to the AP the next morning and consequences will be given. *If a zapped student submits their COMPLETED homework to their teacher by Monday after school, ZAP will be excused.* Any homework assignments not completed in the zap sessions will be recorded as zeroes.
Classroom guidelines:Proper classroom behavior is expected at all times.Respect for personal and public property will be practiced.School regulations as stated in the handbook are to be observed in this class.You must be in your seat and ready to begin when the 5 minute passing period is up.Unexcused tardies will result in a warning on the 1st; warning, parent contact, and teacher detention on the 2nd; referral to AP on the 3rd and following. No cell phones.
Responsibilities of the Instructor:
·You can expect me to be on time and prepared for class.In the case of a substitute, detailed plans will be arranged to give you the opportunity to continue learning without interruption.
·You can expect me to be honest about any mistakes that I make and to correct them as soon as I am made aware of them.
·You can expect fair and equal access to the material that I will present in this class.I will not allow the irresponsibility and disrespect of some to ruin the educational privileges of the class.
·You can expect your tests to be graded and returned in a reasonable amount of time.
Responsibilities of the Student:
·You are expected to read and abide by this syllabus and the student handbook and will be held accountable for all information contained in them.
·You are expected to come to class on time prepared with all materials needed and all assignments completed.
·You are expected to take notes over the material in this class and to read assignments carefully.In the case of absence, it is YOUR responsibility to obtain any handouts and assignments missed and to complete them in a timely manner. (See homework and make-up policy)
·You are expected to seek help in class by asking questions when you do not understand a topic.If further understanding is needed, you are expected to seek help through tutoring.If no attempt is made, I will have no sympathy and no choice but to give you the grade you deserve.
Be Respectful, Be Prepared, Be Responsible!
Assignments: Work MUST BE SHOWN on homework assignments, no excuses.If work is not shown, credit will not be given.Be sure your work is your work and doesn't look like another student's work.
Retake policy:
Once again, this is a Math Department policy.Students will have the option to retake tests.It is mandatory that the students go to a tutorial before retaking the test.Retakes will be allowed within the week following return of the original test.Times for the retakes will be determined by each individual teacher.The final test grade will then be figured by averaging the highest grade twice and the lowest grade once.
If all homework assignments are not complete (with all work) by test day, test retakes will not be an option.
All retakes must be done in one sitting...a student cannot begin a retake and come finish it at another time.
Quizzes may also be retaken for the highest grade of a 70.
Tutoring: Each math teacher will hold tutorials at varied times during the week.If a student's math teacher is not available at a time needed, any other math teacher holding tutorials will be able to help. In addition, the Math Center will be available in the mornings and afterschool every day for help.
Course Outline:(1st semester)
1st 6 weeks:Chapter 1:Expressions, Equations, and Functions
Chapter 2:Properties of Real Numbers
Chapter 6:Solving Inequalities
Chapter 3:Solving Linear Equations
2nd 6 weeks: Chapter 4:Graphing Linear Equations and Functions
1.6, 1.7, 5.6
3rd 6 weeks:Chapter 5:Writing Linear Equations & 6.7
I believe each of you can excel in Algebra I this year.The formula is simple: be attentive, do not procrastinate, maximize the time allotted in class to begin your assignments and complete your homework.Remember math is progressive and if you don't comprehend the current concept you will not understand the next one.It is important that you ask questions when you do not understand the material and get additional assistance when needed.
Please complete the form below and return it to Mrs. Medina by the next class period.
I, ___________________________________have read and understood the requirements for Algebra I.
Your support as a parent is greatly appreciated throughout the school year.If you have any questions or concerns during the school year please feel free to contact me at jmedina@dentonisd.org or 940-369-1141.The best way to communicate with me is via e-mail.
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Featured Research
from universities, journals, and other organizations
Math goes viral in the classroom
Date:
December 14, 2009
Source:
University of Alberta
Summary:
At least a dozen Alberta high-school calculus classrooms were exposed to the West Nile virus recently. Luckily, it wasn't literally the illness. Educators used the virus as a theoretical tool when they designed materials for use in an advanced high-school math course.
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At least a dozen Alberta high-school calculus classrooms were exposed to the West Nile virus recently.
Luckily, however, it wasn't literally the illness. University of Alberta education professor Stephen Norris and mathematics professor Gerda de Vries used the virus as a theoretical tool when they designed materials for use in an advanced high-school math course. The materials allow students to use mathematical concepts learned in their curriculum to determine the disease's reproductive number, which determines the likelihood of a disease spreading.
The approach is a marriage of science and math, subjects the researchers say seem to exist in separate worlds at a secondary-school level, but that when brought together can effectively bring real-world scenarios into the classroom to enhance learning and understanding.
Not to mention answering that ages old high-school student question: "why do I need to know this?"
"This piece was designed to satisfy an optional unit in Math 31 (Calculus), for which there are no materials, so we said, 'let's fill the gap,'" said Norris. "These materials show a real application of mathematics in the biology curriculum for high-school students."
Norris and de Vries chose a published academic math paper on the transmission of the West Nile virus and modified it -keeping the science intact, but making it readable and practical for high-school calculus students.
The information and equations in the original paper dealing with disease transmission were then used as the basis for calculus math problems to be solved by the students. Students were presented with a variety of materials that covered topics and concepts such as rate of change, exponential growth-decay models, and models for the carriers of the virus, including mosquitoes and infectious and susceptible birds. The students' mathematical skills were then put to use in determining the spread of the disease using various parameters, which included variables such as biting rate and the probability of infection.
Norris underlines that the project challenged the students to see and understand science in a different fashion from what they learn inside the science curricula. He points out that high-school classroom scientific experiments are "proven" science and have been around for at least 300 years, in many cases. For the students to discover that real scientists often work with some assumptions that they know to be false in order to reach their conclusions was certainly an eye-opening realization for them, he says.
"There's no way out of the fact that the knowledge you gain from science is imperfect; it's tentative and subject to change," said Norris. "I think that's what struck the students between the eyes."
Both researchers agree that this form of collaborative, interdisciplinary learning can take place across all subject areas. De Vries and Norris are currently working on another project that focuses on population genetics that will fit into Grade 12 biology and math courses.
"It's mathematics in the real world. Kids are always asking, 'why am I learning this,'" she said. "All of a sudden the mathematics that kids have learned comes together in a project likeOct. 11, 2013 — Writing instruction in US classrooms is "abysmal" and the Common Core State Standards don't go far enough to address glaring gaps for students and teachers, an education scholarApr. 20, 2009 — More challenging middle-school math classes and increased access to advanced courses in predominantly black urban high schools may be the key to closing the racial academic achievement gap, according ... full story
ScienceDaily features breaking news and videos about the latest discoveries in health, technology, the environment, and more -- from major news services and leading universities, scientific journals, and research organizations.
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The importance of mathematics competitions has been widely recognized for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics they constitute the most effective way of discovering and nurturing mathematical talent and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded.
Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest
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In precalculus, the student no longer mindlessly follows a set of rules, but must learn to understand the interpret questions and understand the math's meaning. But don't panic. I can explain everything in plain language and analogies (which I make up on-the-fly). And I will show you how to use the knowledge to do your homework.
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Mathematics
Software for teaching and learning mathematical proofs
Where most mathematical proof software concentrates on formal logic (or some other specialty area of mathematics), Lurch aims to be truly general-purpose, with an attracitve user interface.
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Precalculus with Unit-Circle Trigonometry - 3rd edition
Summary: This book introduces trigonometry through the unit circle. Cohen emphasizes graphing to explain complex concepts in an uncomplicated style, and provides supplementary graphing-calculator exercises at the end of most sections for additional perspective and reinforcement.
Trigonometric Functions of Real Numbers. Graphs of the Sine and the Cosine Functions. Graphs of y = A sin(Bx-C) and y = A cos(Bx - C). Simple Harmonic Motion. Graphs of the Tangent and the Reciprocal Functions.
Right-Triangle Applications. The Law of Sines and the Law of Cosines. Vectors in the Plane, a Geometric Approach. Vectors in the Plane, an Algebraic Approach. Parametric Equations. Introduction to Polar Coordinates. Curves in Polar Coordinates.
PART X. SYSTEMS OF EQUATIONS.
Systems of Two Linear Equations in Two Unknowns. Gaussian Elimination. Matrices. The Inverse of a Square Matrix. Determinants and Cramer's Rule. Nonlinear Systems of Equations. Systems of Inequalities.
PART XI. ANALYTIC GEOMETRY.
The Basic Equations. The Parabola. Tangents to Parabolas (Optional). The Ellipse. The Hyperbola. The Focus-Directrix Property of Conics. The Conics in Polar Coordinates. Rotation of Axes.
PART XII. ROOTS OF POLYNOMIAL EQUATIONS.
The Complex Number System. Division of Polynomials. Roots of Polynomial Equations : The Remainder Theorem and the Factor Theorem. The Fundamental Theorem of Algebra. Rational and Irrational Roots. Conjugate Roots and Descartes' Rule of Signs. Introduction to Partial Fractions. More About Partial FractionsFollett School Solutions, Inc. Woodridge, IL
0534352758 No excessive markings and minimal highlighting. CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
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0534352758 Your purchase benefits those with developmental disabilities to live a better quality of life. minimal stains on edges wear minimal wear on edges and corners minimal sun damage
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MATLAB Fundamentals
This course provides a comprehensive introduction to the MATLAB® technical computing environment. This course is intended for beginning users and those looking for a review. No prior programming experience or knowledge of MATLAB is assumed, and the course is structured to allow thorough assimilation of ideas through hands-on examples and exercises. MATLAB competency is developed in a natural way, with an emphasis on practical application. Themes of data analysis, visualization, modeling, and programming are explored throughout the course. Topics Include:
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55Focusing on applications rather than theory, this book elucidates the real-life utilization of mathematical modeling and modern mathematical methods, such as bifurcation analysis, dynamical system theory, nonlinear dynamics, and chaotic dynamics. It provides a practical understanding of how the models are used in current research in the areas of population dynamics, physical science, and engineering, and contains a large number of solved examples, applications, and hints to unsolved problems. The text covers all fundamental concepts and mathematical skills needed to build models and do analyses and also provides an informative overview of known literature.
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Journey into Mathematics: An Introduction to Proofs [NOOK Book] ...
More About
This Book historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics--induction, binomial coefficients, and polygonal areas--that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre's theorem, to real numbers.
Editorial Reviews
Booknews
Intended as a textbook for a one-semester course between calculus and the first courses in abstract algebra and real variables. Starts with concepts such as trigonometry and integration that are already to familiar to students at this level, so that they can concentrate on the mechanics of writing proofs. Synthetic geometry is then used as an inroad to introducing convergence of sequences. The text ends with a discussion of complex numbers, De Moivre's Theorem, and irrationalities
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MP Basic Mathematical Skills with Geometry
"Basic Mathematical Skills with Geometry, 7/e" by Baratto/Bergman is part of the latest offerings in the successful "Streeter-Hutchison Series in ...Show synopsis"Basic Mathematical Skills with Geometry, 7/e" by Baratto/Bergman is part of the latest offerings in the successful "Streeter-Hutchison Series in Mathematics". The seventh edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce basic mathematical skills and put the content in context. The authors use a three-pronged approach ( Communication, Pattern Recognition, and Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a one-semester basic math course and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone.Hide synopsis
Description:Fair. Book in Acceptable condition. Will show clear signs of...Fair. Book in Acceptable condition. Will show clear signs of use, water damage and/or staining that does not affect the readability of the bookDescription:Good. MP Basic Mathematical Skills with Geometry (The Streeter...Good. MP Basic Mathematical Skills with Geometry (The Streeter
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Covers the fundamental processes in arithmetic: reading mathematical notation, translating words into symbols, and properties of the real number system. Introduction to geometry and algebra. Units do not apply toward AA/AS degree.
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stud... More: lessons, discussions, ratings, reviews,...
An algebra practice program for anyone working on simplifying expressions and solving equations. Create your own sets of problems to work through in the equation editor, and have them appear on all ofAlgebra Concepts is a tool for introducing many of the difficult concepts that are necessary for success in higher level math courses. This program includes a special feature, the Algebra Tool Kit, wh... More: lessons, discussions, ratings, reviews,...
Algebra Concepts is an interactive learning system designed to provide instruction in mathematics at the 7th grade enrichment through adult levels. The instructional goals for Algebra Concepts include
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More About
This Textbook
Overview
Problem solving has always been a fundamental element of mathematics. This innovative book challenges the perception that solving a problem is merely a means to an end. Focusing on problem solving as a subject in its own right, the contributors present a broad range of practical, theoretical, simple, intricate and purely mathematical examples.
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Essential Steps of Problem Solving in Mathematical Sciences
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Learning how to solve problems in mathematics is simply to know what to look for.
Math problems often require established procedures and one must know What & When to apply them. To identify procedures, you have to be familiar with the different problem situations, and be able to collect the appropriate information, identify a strategy or strategies and use the strategy/strategies appropriately. But exercise is must for problem solving. It needs practice!! The more you practice, the better you get. The great mathematical wizard G Polya wrote a book titled How to Solve It in 1957. Many of the ideas that worked then, do still continue to work for us. Given below are the four essential steps of problem solving based on the central ideas of Polya.
Essential Step One:
Identifying the clues
•First of all read the problem carefully understanding each word precisely and underline the clue words in it. As a student I know that this also requires practice. A new problem-solver, in his/her early days, should work on practicing on identifying clues from a problem. Some when it is said that Problems have their solutions in understanding the problems. • Ask yourself if you've seen a problem similar to this one.
If so, what is similar about it? What did you do then?
If this problem is almost new to you then after using clues, confirm: What facts are you given here? and What you have to find out here?
Essential Step Two:
The Game Plan
• Define your game plan, and ask again that "Have you seen a problem like this before?". • Identify what you did (or what have you to do)? • Define your strategies to solve this problem. •Try out your strategies, using formulae, simplifying, using sketches, guess and check, look for a pattern, graphing etc.. • If your strategy doesn't work, it may lead you to a new strategy that does work. You can find a new strategy iff you know all the concepts related to the topic on which the problem is covered.
Essential Step Three:
Solving the Problem
Use your skills of 'strategy' & 'tactics' to solve the problem. Never go over or out of the focus of the problem. This may cause time waste and errors. This step needs specialization.
Essential Step Four:
Reflect upon the problem
This is very critical step and many students leave this while solving the problems. • Look over the solution you arrived at just. Again look at the problem you had. • Does it look probable? • Did you answer the question exactly? And are you sure of the answer? If yes , then how much? • Did you answer in the language of the problem? • Did you derive the answer in the specified units?
At last, applying these steps, also need practice and hard work. If you have any other techniques of problem solving then drop those into the comment box . This will help other readers.
About the Author
3 Comments
Tinned_Tuna
Personally, my method for solving problems (since most of the problems I come up against are well known problems) involves an extra crucial step:
Research.
If I'm really stuck on a problem, for example, at the moment, I'm looking into how to compile closures (I'm not straight maths, I'm CS/Maths, hence compiler stuff). My main reaction to this? Think about the problem for a good few hours, try to realise where I'm coming unstuck, and finally, I'm going to have to raid the library.
Some solutions most people won't hit on simply because they're non-obvious, and in a lot of cases, a lot of work has gone into producing a solution that works. Look at it, see why it works, can it be made to work for your problem, what hurdles might you have to get over for it to work, how does their solution inform your search?
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Effective Learning & Teaching in Mathematics & Its Applications
Mathematics dates from antiquity, built upon the minds of the world's intellectual giants: Euclid, Pythagoras, Archimedes, Newton, Euler, Gauss, Einstein and many, many others. It is perhaps the most developed science, deploying a huge corpus of theory and technique. Music, art and mathematics transcend all cultures but perhaps mathematics most of all is universal, for it is a truly common language, regrettably appreciated by and accessible to far too few of us.
Among the sciences, mathematical sciences have undergone extraordinary growth over the last decade, primarily stimulated by advances in computing facilities, both software and hardware. The advancement of science, indeed society more generally, has always depended upon mathematics and will do so even more in the future.
Communicating this corpus of knowledge, understanding the theoretical and logical base and deploying this knowledge to the benefit of mankind is one of the biggest challenges facing education at the beginning of this new century (or millennium!). It is therefore pleasing to see a text on Effective Teaching and Learning in Mathematics and its Applications, edited by Peter Kahn and Joseph Kyle, with chapters by leading practitioners in the discipline of mathematics, statistics and operational research. Chapters in the book cover the key areas of assessment (diagnostic, formative, summative), learning developments, course design and reflection, application of mathematics in modelling phenomena, the analysis of data and preparation for future employment. There is also recognition of the need to support the non-specialists who need mathematics or statistics for the full understanding and appreciation of their own discipline.
I strongly encourage you to read the chapters of this book, implement and further develop the ideas and concepts relevant to your interests, but to also draw your colleagues' attention to the book as well, for there is much to understand about the learning, teaching and assessment of mathematics, statistics and operational research.
Professor John R Blake Director, LTSN Mathematics, Statistics and Operational Research Network School of Mathematics and Statistics, The University of Birmingham
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151+ subjects
including precalculus
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This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. The Fourth Edition contains additional modeling and real-data coverage. A conceptual approach to functions is introduced early in the book and revisited in Ch. 5, 6, 7, 8, and 10—readers are exposed to a variety of realistic situations where functions are used to explain and record the changes we observe in the world. A discussion of solving linear equations in Chapter 2 now includes coverage of equations with no solution and equations with infinitely many solutions. The sections on determinants and Cramer's rule have been moved out of Chapter 4 into an appendix. This material can be covered with ease after Section 4.3.
Editorial Reviews
Booknews
Progresses from linear equations and polynomials through to quadratic equations and exponential functions. Bright colors and countless graphics will keep even nodding-off students up to speed. The new edition focuses on real world math problems and includes practice problems with solutions, application problems, and chapter summaries presented in chart form. Annotation c. by Book News, Inc., Portland, Or.
Product Details
Read an Excerpt problems selftesting. Exercises are paired and graded and are of varying levels and types to ensure that all skills and concepts are covered. As a result, the text offers students an effective and proven learning program suitable for a variety of course formats—including lecturebased classes; discussionoriented classes; distance learning centers; modular, selfpaced courses; mathematics laboratories; and computersupportedSolving Abilities
We are committed as authors to producing a textbook that emphasizes mathematical reasoning and problemsolving techniques as recommended by AMATYC, NCTM, AMS, NADE, MAA, and other groups. To this end, the exercise sets are built on a wealth of reallife and realworld and realfriendly writing style. See the walkout example for each type of exercise. Students often find that preparing a similar chapter organizer on their own in higherEQ with QuizmasterEQ; allnew lecture videos; lecture videos digitized on CDspecific site offers students online selfquizzes. Questions are graded, and students can email (<%ISBN%>0130328383)
• Complete student text
• Answers in place on the same text page as the exercises
• Teaching Tips at key points where students historically need extra help
• Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final
Instructor's Solutions Manual (<%ISBN%>0130342041)
• Detailed stepbystep solutions to the evennumbered exercises
• Solutions to every exercise (odd and even) in the diagnostic pretest, pretests, review problems, tests, cumulative tests, and practice final
• Solution methods that reflect those emphasized in the text
Instructor's Resource Manual with Tests (<%ISBN%>0130342033)
• Nine test forms per chaptersix free response, three multiple choice. Two of the freeresponse tests are cumulative in nature.
• Two forms of pretests per chapter
• Eight forms of final examination
• Twenty additional exercises per section
• Answers to all tests and additional exercises
Media Resources
New TestGenEQ with QuizMasterEQ (Windows/Macintosh) (<%ISBN%>0130600237)
• Algorithmically driven, textspecific testing program
• Networkable for administering tests and capturing grades online
• The builtin Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
• Use the Function Plotter to create graphs.
• Sidebyside (<%ISBN%>0130600105)
• Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter or a test of random items
• Includes an email function for network users, enabling instructors to send a message to a specific student or an entire group
• Provides networkbased reports and summaries for a class or student and for cumulative or selected scores
New MathPro 5 Anytime. Anywhere. With Assessment.
• The popular MathPro tutorial program available over the Internet
• Online tutorial accessanytime and anywhere
• Enhanced course management tools
Companion Web Site
Internet Connections activities have been completely revised and updated. Annotated finks facilitate student navigation.
• Site provides online selfquizzes. Questions are graded, and students can email their results to the instructor.
• Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
Supplements for Students
Printed Resources
Student Solutions Manual (<%ISBN%>0130342017)
• Solutions to all oddnumbered exercises
• Solutions to every (odd and even) exercise found in pretests, chapter tests, reviews, and cumulative reviews
• Solution methods that reflect those emphasized in the textbook
• Ask your bookstore about ordering.
Media Resources
New MathPro Explorer 4.0 CDROM (Student version: 0130600229)
• Keyed to each section of the text for textspecific tutorial exercises and instruction
• Warmanytime and anywhere
New Lecture Videos (<%ISBN%>0130600180)
• All new videotapes accompany the fourth edition.
• Videos are keyed to each section of the text.
• Key concepts are explained stepbystep.
New Digitized Lecture Videos on CDROM (<%ISBN%>0130600199)
• The entire set of Intermediate Algebra, Fourth Edition lecture videotapes in digital form
• Convenient access to video tutorial support from home or campus computer
• Available shrinkwrapped with the text or standalone
New Prentice Hall Tutor Center
• Staffed by qualified math instructors and open 5 days a week, 7 hours a day
• Text specific tutoring provided via tollfree telephone, fax, or email.
• The Prentice Hall Tutor Center is accessed through a registration number that may be bundled with a new textbook or purchased separately.
Companion Web Site
Internet Connections activities have been completely revised and updated.
• Site provides an online study guide via selfquizzes. Questions are graded, and students can email classtestedofout solutions for all the oddnumbered exercises as well as diagnostic pretest, chapter review, chapter test, and cumulative test exercises in this book. (If your college bookstore does not carry the Student Solutions Manual, ask them to order a copy for you. <%ISBN%>0130342017)
Watch the videotapes or digitized videos on CD Practice problem solving using the resources available to you. MathPro 5 is the online version of this comprehensive tutorial program.
out solutions to the Practice Problems that appear at the end of the text.
Studentfriendly application exercises. In every chapter of this book you will find application exercises that are realistic and interesting. Many of the exercises were actually written or suggested by students. As you develop your problemsolving and reasoning skills in this course, you will encounter a number of realPreface- techniques writing-specific site offers students online self-quizzes. Questions are graded, and students can e-mail (ISBN: 0-13-032838-3)
• Complete student text
• Answers in place on the same text page as the exercises
• Teaching Tips at key points where students historically need extra help
• Answers to all exercises in pretests, review problems, tests, cumulative tests, diagnostic pretest, and practice final
Instructor's Resource Manual with Tests (ISBN: 0-13-034203-3)
• Nine test forms per chapter-six free response, three multiple choice. Two of the free-response tests are cumulative in nature.
• Two forms of pretests per chapter
• Eight forms of final examination
• Twenty additional exercises per section
• Answers to all tests and additional exercises
Media Resources
New TestGen-EQ with QuizMaster-EQ (Windows/Macintosh) (ISBN: 0-13-060023-7)
• Algorithmically driven, text-specific testing program
• Networkable for administering tests and capturing grades online
• The built-in Question Editor allows you to edit or add your own questions to create a nearly unlimited number of tests and worksheets.
• Use the Function Plotter to create graphs.
• Side-by-side- (ISBN: 0-13-060010-5)
• Enables instructors to create either customized or algorithmically generated practice tests from any section of a chapter or a test of random items
• Includes an e-mail function for network users, enabling instructors to send a message to a specific student or an entire group
• Provides network-based reports and summaries for a class or student and for cumulative or selected scores
New MathPro 5 Anytime. Anywhere. With Assessment.
• The popular MathPro tutorial program available over the Internet
• Online tutorial access-anytime and anywhere
• Enhanced course management tools
Companion Web Site
• Internet Connections activities have been completely revised and updated. Annotated finks facilitate student navigation.
• Site provides online self-quizzes. Questions are graded, and students can e-mail their results to the instructor.
• Syllabus Manager gives professors the option of creating their own online custom syllabus. Visit the Web site to learn more.
Media Resources
New MathPro Explorer 4.0 CD-ROM (Student version: 0-13-060022-9)
• Keyed to each section of the text for text-specific tutorial exercises and instruction
• Warm--anytime and anywhere
New Lecture Videos (ISBN: 0-13-060018-0)
• All new videotapes accompany the fourth edition.
• Videos are keyed to each section of the text.
• Key concepts are explained step-by-step.
New Digitized Lecture Videos on CD-ROM (ISBN: 0-13-060019-9)
• The entire set of Intermediate Algebra, Fourth Edition lecture videotapes in digital form
• Convenient access to video tutorial support from home or campus computer
• Available shrink-wrapped with the text or stand-alone
New Prentice Hall Tutor Center
• Staffed by qualified math instructors and open 5 days a week, 7 hours a day
• Text specific tutoring provided via toll-free telephone, fax, or e-mail.
• The Prentice Hall Tutor Center is accessed through a registration number that may be bundled with a new textbook or purchased separately.
Companion Web Site
• Internet Connections activities have been completely revised and updated.
• Site provides an online study guide via self-quizzes. Questions are graded, and students can e-mail class-tested-of--out solutions for all the odd-numbered exercises as well as diagnostic pretest, chapter review, chapter test, and cumulative test exercises in this book. (If your college bookstore does not carry the Student Solutions Manual, ask them to order a copy for you. ISBN: 0-13-034201-7)
Watch the videotapes or digitized videos on CD- Practice problem solving using the resources available to you. MathPro 5 is the online version of this comprehensive tutorial program.
--out solutions to the Practice Problems that appear at the end of the text.
Student-friendly application exercises. In every chapter of this book you will find application exercises that are realistic and interesting. Many of the exercises were actually written or suggested by students. As you develop your problem-solving and reasoning skills in this course, you will encounter a number of real-Introductionfollowing writing
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Book Description:Paperback. Book Condition: New. 2nd. 15mm x 19mm x 249mm. Paperback. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 358 pages. 0.862. Bookseller Inventory # 9780941355711
Book Description:Paperback. Book Condition: New. Paperback. Math Matters, first published in 2000, quickly became an invaluable resource for math educators nationwide, helping them clarify their own understanding of the math concepts they are required to teach. This important book contains activities and discussions on key elementary topics such as whole number computation, fractions, algebra, geometry, and measurement. The scope in this second edition has now been expanded to address key topics in the middle school math curriculum as well, including sections on integers, exponents, similarity, the Pythagorean Theorem, and more. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN, Momence,IL, Commerce,GA. book. Bookseller Inventory # 97809413557
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All algebraic processes widely explained in a step by step reasoning method. I highly recommend it for anyone who wants to learn algebra, or reinforce their knowledge in the subject. One thing for the information of the reviewer on top of the list, and everyone else: Aurelio Baldor is actually a Cuban professor of mathematics, and absolutely not an Indian mathematician. It is advisable to do some research before writing a review.
Ignore the picture and proceed to the book, besides Baldor was a genius Indian mathematician not Arab but that's besides the point. This book is outstanding, I remember working with this book back in my younger years, I have a degree in computer science. This book was the foundation to overcome all my Math classes through college. I got so good in Algebra when I was a teenager that even the girls wanted to sit with me in class. If you understand this well illustrated Algebra book no math class will be impossible to understand. However it's you that can make it happen, as you need to dedicate your time and effort to master it. In other words turn your TV off, enjoy it. ...
With plenty of detailed examples and tons of exercises, you do learn and understand Algebra with this book. Provides the best foundation for Trigonometry and Calculus. You WILL use it for reference and/or to refresh your memory when your children start studying Algebra. Guaranteed !!
I really remember having to go through math and trigonometry under tutors that kept on pounding on your head that math was a neccesary nuisance, until I came across this remarkable book, I can tell you that it so clear and impressive that anyone, with or without mathematical background will be able to understand it. Remember that math is the universal language and for this book the piece by piece attack on the theme is more than enough to understand it, spanish is advisable though not essential, this book teaches you to love math and makes it fun, open and easy, it can be applied on your everyday life. It takes you by the hand step by step from two variable equations to full scale three dimensional matrix series, giving it sense to a whole new world of mathematical thinking, right now I am going through a proccess to start my Masters by Research on Australia (On Biomedical Sciences), and to begin with I needed to refresh my memory on some algebra and trigonometry, I took some steps towards books like the Tippler and Shaums, and though they claim the easiness of use of its contents, to my surprise more that 80% percent of my answers were coming from the Baldor series. Sometimes is easy to under estimate a book that comes from a neighboring country that is say "underdeveloped" but I think it is about high time that we might start to share some common knowledge that would enrich our mutual knowledege. By now I haven't found any book that comes closer to the comprehention that this book opens to the novele and experienced mathematician, I sincerely recomend this text to anyone that might be submerged into mathematic themes from shallow to deep, belive me it will not disappoint anyone, or at least it hasn't done so, I know more than a 100 people between students and serious proffessionals and investigators that have used it and are still using it. It has run water under the bridge since I used it and it is still brilliant and robust.
This book it's been on Mexican Schools for many many years and people who used it will always remember because it was too good or they hate it because algebra it's tough. Love it or Hate it most of the people know this is DA BOOK!!!!!. ...
An excellent book, although the illustration on the cover may raise suspicion about those who carry it. Specially after September 11, 2001. Is it him ??? -- Un libro excelente, a pesar de que la ilustracion de la portada podria levantar sospechas de quienes lo usan. Especialmente despues del 11 de Septiembre del 2001. Sera el ???
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Modify Your Results
An ideal program for struggling students "Glencoe Algebra: Concepts and Applications" covers all the Algebra 1 concepts. This program is designed for students who are challenged by high school mathematics.
Glencoe Algebra: Concepts and Applications includes lessons that will help students prepare for the Texas Essential Knowledge and Skills assessed on the Texas state test. This textbook contains a special section of practice problems specifically for the Texas state test.
Algebra: Concepts & Applications, is a comprehensive Algebra 1 program that is available in full and two-volume editions. Algebra: Concepts & Applications uses a clean lesson design with many detailed examples and straightforward narration that make Algebra 1 topics inviting and Algebra 1 content understandable. Volume 1 contains Chapters 1-8 of Algebra: Concepts & Applications plus an initial section called Chapter A. Chapter A includes a pretest, lessons on prerequisite concepts, and a post test. Designed for students who are challenged by high school mathematics, the 2006 edition has many new features and support components.<P>
Advisory: It has been reported to us that this book contains mathematical problems that have been rendered by the publisher as images without image descriptions.
Algebra: Concepts & Applications, is a comprehensive Algebra 1 program that is available in full and two-volume editions. Algebra: Concepts & Applicationsuses a clean lesson design with many detailed examples and straightforward narration that make Algebra 1 topics inviting and Algebra 1 content understandable. Volume 1 contains Chapters 1-8 ofAlgebra: Concepts & Applicationsplus an initial section called Chapter A. Chapter A includes a pretest, lessonson prerequisite concepts, and a posttest. Designed for students who are challenged by high school mathematics, the 2007 edition has many new features and support components.
The book's design is up-to-date as it underlines the real-world applications of Maths as well as its connections to other subjects like science, history and music. The Chapter Projects, Hands-On Labs, and Interdisciplinary Investigations makes the book very useful and interesting to the students.
To help chart their journeys, wise travelers consult a map before they begin. Just as maps lead travelers to their destinations, the script on the next five pages points out the ways that you use the mathematics in this text in you daily lives.
This textbook of Glencoe Mathematics Course 1 has unit lessons on Number, Operations, and Statistics, Number and Operations: Decimals and Fractions, Patterns, Relationships, and Algebraic Thinking, Measurement and Geometry, Number, Operations, and Algebraic Thinking.
This book is talked about The Texas Prairies and Lakes region offers a wide range of attractions. Among them is the States Fair of Texas. Located in Dallas, it boasts the 212-foot Texas Star-the tallest Ferris wheel in North America. As with all circles, the ratio of the circumference of the Texas Star to its diameter is a constant, π. You'll learn more about ratios in Chapter 7 and circumference in Chapter 12
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Algebra - Wikipedia, the free encyclopedia
Algebra (from Arabic al-jebr meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such ...
Pinellas ninth-graders might get summer help with algebra Tbo.com While Summer Bridge is meant to help students who are falling behind grade level, the new Algebra Boot Camp specifically targets incoming ninth-graders who have not taken an Algebra 1 course. During the six-week course, students will learn the skills ...
Algebra Nation To Add Teacher Training T.H.E. Journal A "design and build" shop for education at the University of Florida just received a $250,000 grant to build a teacher network to go along with a new tool introduced in 2013 to help students with algebra. The Lastinger Center for Learning, which ... and more »
Algebra II Again In the Spotlight WOAI.com A State Senate Committee today is again examining a very emotional issue---whether to mandate that all students pass Algebra II as a requirement for graduation, or whether that time could be better taken on vocational courses, 1200 WOAI news reports.
Make Algebra II standard requirement mySanAntonio.com The San Antonio Hispanic Chamber of Commerce stands alongside many educators, business leaders and parents, urging all school districts throughout Texas to ensure that Algebra II is included in all endorsement tracks for high school education across ...
The Spectator: Algebra II vs. Citizenship I Eastern Arizona Courier The Spectator: Algebra II vs. Citizenship I By John Young Copper Era columnist Eastern Arizona Courier | 0 comments. What would you say if someone told you that your state's emphasis on algebra was undermining math instruction? What would you say if ... and more »
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Integrated Physics and Calculus - Volume 2 - 00 edition
Summary: This groundbreaking text combines the second and third semesters of calculus with the first and second semesters of calculus-based physics. Used successfully at the authors' school in a two-semester course, the text provides full integration of the math and physics. Through text and problems, the authors carefully develop the calculus so that it can be used in many physical applications. In turn, the physics provides examples for the development of the calculus conce...show morepts. As a result, students gain a full understanding of calculus and its relevance to physics.
Features
Using applications and examples, the text integrates physics and calculus wherever possible to help students make the complex but necessary connections between the two subjects.
Throughout the text, worked examples in both physics and calculus clarify the topics.
Numerous problems allow students to practice applying concepts and theories.
Historical developments in both physics and calculus are discussed whenever appropriate to give students a context for learning the material.
The text is ideal for schools at which physics and calculus are closely coordinated
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Forms Manager
Mathematics Course Proposal
In order to omit errors, we strongly recommend you type your answers in MS Word and then cut & paste them into this form to avoid typos.
When you click submit, a copy of your submission will be automatically emailed to you. Please include your full email address here:Date submitted:
Is this proposal the result of program review?
yes
no
If so, what year was the review completed?
I. Basic course information
1. Department or Program:
2. Course Number:
3. MOST RECENT Official course description:
the above course description is
from catalog
from class schedule
4. Semester and Year designation would begin:
5. Is this a NEW course?
no
yes
If answered "yes" to question 5, please give date it was approved:
6. List all other designations
applied for:
received:
7. Instructor(s):
8. Are there any prerequisites for registering for this course?
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if there are prerequisites for this course, please list here:
How many credits is this course worth?
General Course description for the Mathematics requirement in the common curriculum
The course will address the contemporary role of mathematics. It will also stress mathematics as a conceptual discipline and will demonstrate to students the aesthetics and value of mathematics. The course will be structured so that students are actively involved in doing mathematics and demonstrating their understanding of concepts appropriate to that course in various ways. The specific content, the questions, and the examples used in the class should begin with ideas familiar to the students.
The course will enable students to understand and use mathematical language and notation and to appreciate the need for that language and notation. It will also address the power and limitations of mathematical reasoning as a tool for solving problems from other disciplines and from everyday life. The course will focus on student involvement, understanding and appreciation for mathematics rather than on computational rigor.
II. Question regarding Mathematics criteria
Each of the following questions is designed to help the Committee understand how the Mathematics learning goals will be met in your course. Please be as specific as possible in your responses. Examples are especially helpful.
1. Which specific areas of mathematics will be targeted for problem solving, and what kinds of problem solving techniques will students apply?
2. Goal 2 states that "Students will demonstrate an understanding of the mathematical principles which underlie the techniques they use." Which mathematical principles will students be expected to understand? How will they demonstrate that understanding?
3. On which specific area of mathematics will this course focus, and which mathematical concepts in this area will the students be expected to understand?
4. In what ways will students be applying mathematical techniques to model problems in other disciplines or everyday life? Please give specific examples of the kinds of problems students will be expected to model.
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Develop Algebraic Thinking 6-8 - MAT-926 ONLINE course will help teachers discover how to support deeper understanding of foundational algebraic concepts in grades 6-8. Teachers will explore growth patterns and functions, variables, linear relationships, and coordinate graphs. Based on the included text and research-based journal articles, teachers will design and implement a unit of grade-level appropriate algebraic thinking activities with their students. All of the readings and activities are built upon the Common Core standards
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Basic Technical Mathematics - 8th edition
ISBN13:978-0321284433 ISBN10: 0321284437 This edition has also been released as: ISBN13: 978-0321131935 ISBN10: 0321131932
Summary: This tried-and-true text from the pioneer of the basic technical mathematics course now has Addison-Wesley's amazing math technologies MyMathLab and MathXL helping students to develop and maintain the math skills they will need in their technical careers.
Technical mathematics is a course pioneered by Allyn Washington, and the eighth edition of this text preserves the author's highly regarded approach to technical math, while enhancing the integration of te...show morechnology in the text. The book is intended for a two- or three-semester course and is taught primarily to students who plan to pursue technical fields. The primary strength of the text is the heavy integration of technical applications, which aids the student in pursuit of a technical career by showing the importance of a strong foundation in algebraic and trigonometric math.
Allyn Washington defined the technical math market when he wrote the first edition of Basic Technical Mathematics over forty years ago. His continued vision is to provide highly accurate mathematical concepts based on technical applications. The course is designed to allow the student to be simultaneously enrolled in allied technical areas, such as physics or electronics. The material in the text can be easily rearranged to fit the needs of both instructor and students. Above all, the author's vision of this book is to continue to show today's students that an understanding of elementary math is critical in many aspects of life. ...show less
Introduction to Functions. More About Functions. Rectangular Coordinates. The Graph of a Function. Graphs on the Graphing Calculator. Graphs of Functions Defined by Tables of Data.
4. The Trigonometric Functions.
Angles. Defining the Trigonometric Functions. Values of the Trigonometric Functions. The Right Triangle. Applications of Right Triangles.
5. Systems of Linear Equations; Determinants.
Linear Equations. Graphs of Linear Functions. Solving Systems of Two Linear Equations in Two Unknowns Graphically. Solving Systems of Two Linear Equations in Two Unknowns Algebraically. Solving Systems of Two Linear Equations in Two Unknowns by Determinants. Solving Systems of Three Linear Equations in Three Unknowns Algebraically. Solving Systems of Three Linear Equations in Three Unknowns by Determinants.
6. Factoring and Fractions.
Special Products. Factoring: Common Factor and Difference of Squares. Factoring Trinomials. The Sum and Differences of Cubes. Equivalent Fractions. Multiplication and Division of Fractions. Addition and Subtraction of Fractions. Equations Involving Fractions.
7. Quadratic Equations.
Quadratic Equations; Solution by Factoring. Completing the Square. The Quadratic Formula. The Graph of the Quadratic Function.
8. Trigonometric Functions of Any Angle.
Signs of the Trigonometric Functions. Trigonometric Functions of Any Angle. Radians. Applications of Radian Measure.
9. Vectors and Oblique Triangles.
Introduction to Vectors. Components of Vectors. Vector Addition by Components. Applications of Vectors. Oblique Triangles, the Law of Sines. The Law of Cosines.
Book shows a small amount of wear to cover and binding. Some pages show signs of use.Sail the Seas of Value
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Numerical Linear Algebra
Book Description: This is a concise, insightful introduction to the field of numerical linear algebra. The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra. Contents: Preface; Acknowledgments; Part I: Fundamentals. Lecture 1: Matrix-Vector Multiplication; Lecture 2: Orthogonal Vectors and Matrices; Lecture 3: Norms; Lecture 4: The Singular Value Decomposition; Lecture 5: More on the SVD; Part II: QR Factorization and Least Squares. Lecture 6: Projectors; Lecture 7: QR Factorization; Lecture 8: Gram-Schmidt Orthogonalization; Lecture 9: MATLAB; Lecture 10: Householder Triangularization; Lecture 11: Least Squares Problems; Part III: Conditioning and Stability. Lecture 12: Conditioning and Condition Numbers; Lecture 13: Floating Point Arithmetic; Lecture 14: Stability; Lecture 15: More on Stability; Lecture 16: Stability of Householder Triangularization; Lecture 17: Stability of Back Substitution; Lecture 18: Conditioning of Least Squares Problems; Lecture 19: Stability of Least Squares Algorithms; Part IV: Systems of Equations. Lecture 20: Gaussian Elimination; Lecture 21: Pivoting; Lecture 22: Stability of Gaussian Elimination; Lecture 23: Cholesky Factorization; Part V: Eigenvalues. Lecture 24: Eigenvalue Problems; Lecture 25: Overview of Eigenvalue Algorithms; Lecture 26: Reduction to Hessenberg or Tridiagonal Form; Lecture 27: Rayleigh Quotient, Inverse Iteration; Lecture 28: QR Algorithm without Shifts; Lecture 29: QR Algorithm with Shifts; Lecture 30: Other Eigenvalue Algorithms; Lecture 31: Computing the SVD; Part VI: Iterative Methods. Lecture 32: Overview of Iterative Methods; Lecture 33: The Arnoldi Iteration; Lecture 34: How Arnoldi Locates Eigenvalues; Lecture 35: GMRES; Lecture 36: The Lanczos Iteration; Lecture 37: From Lanczos to Gauss Quadrature; Lecture 38: Conjugate Gradients; Lecture 39: Biorthogonalization Methods; Lecture 40: Preconditioning; Appendix: The Definition of Numerical Analysis; Notes; Bibliography; Index. Audience: Written on the graduate or advanced undergraduate level, this book can be used widely for teaching. Professors looking for an elegant presentation of the topic will find it an excellent teaching tool for a one-semester graduate or advanced undergraduate course. A major contribution to the applied mathematics literature, most researchers in the field will consider it a necessary addition to their personal collections
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"This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of pdes are made throughout in references to potential theory, similarity solutions for the porous medium equation, generalized Riemann problems, and others. The material begins with a focus on the Cauchy-Kowalewski theorem, discussing the notion of characteristic surfaces to classify pdes. Next, the Laplace equation and connected elliptic theory are treated, as well as integral equations and solutions to eigenvalue problems. The heat equation and related parabolic theory are then presented, followed by the wave equation in its basic aspects. An introduction to conservation laws, the uniqueness theorem, viscosity solutions, ill-posed problems, and nonlinear equations of first order round out the key subject matter. Large parts of this revised second edition have been streamlined and rewritten to incorporate years of classroom feedback, correct errors, and improve clarity. Most of the necessary background material has been incorporated into the complements and certain nonessential topics have been given reduced attention (noticeably, numerical methods) to improve the flow of presentation. The exposition is replete with examples, problems and solutions that complement the material to enhance understanding and solidify comprehension. The only prerequisites are advanced differential calculus and some basic Lp theory. The work can serve as a text for advanced undergraduates and graduate students in mathematics, physics, engineering, and the natural sciences, as well as an excellent reference for applied mathematicians and mathematical physicists."--Publisher's description.
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Product Synopsis
This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The local aspect, global aspect, and the third aspect is the theory of zeta and L-functions. This last aspect can be considered as a unifying theme for the whole subject
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(x,y) functions: linear (slope-intercept, point-slope, and general forms), polynomial (definition, roots, graphs), and exponential (definition, exponential growth, radioactive decay, money matters - simple, compound, and continuous interest, effective annual rate, ordinary annuity, and loans). From the Mathematics area of Zona Land: Education in Physics and Mathematics.Fri, 19 Sep 2008 03:00:05Polynomials, Rational Functions
page reserved for the analytic study of polynomial functions studied in calculus classes. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; selected topics; other web sites with this focus.Fri, 21 Dec 2007 03:00:02 -0600College Algebra Online Tutorials
introduction to this site remarks, "If you need help in college algebra, you have come to the right place." Their statement is accurate, as the staff members at the West Texas A&M University's Virtual Math Lab have done a fine job creating a series of online algebra tutorials for students and anyone else who might be returning to the world of algebra. First-time visitors should look at their online guide to the tutorials to learn how their tutorials are organized. After that, they should feel free to browse through any of the 59 tutorials offered here. Each tutorial contains information about learning objectives, full explanations, and numerous examples of how to correctly solve problems.Mon, 10 Dec 2007 03:00:01Practical Algebra Lessons
to you by Elizabeth Stapel and purplemath.com, this collection of learning modules contains over 100 mathematics modules designed to teach beginning, intermediate, and advanced algebra concepts. Some algebra topics include graphic linear equations; adding, subtracting, multiplying, and dividing polynomials; and solving linear and literal equations. Intermediate algebra topics include domain and range, even and odd functions, factor theorem, and solving systems of non-linear equations. Finally, advanced algebra topics include complex fractions, complex numbers, matrix addition and subtraction, and partial fraction decomposition. This is a great reference and teaching resource for teachers and students of introductory algebra courses. This is an especially good resource for teachers looking for in-class illustrations of fundamental algebra concepts.Fri, 19 Oct 2007 03:00:01 -0500algebasics
the motto, "Show me how, now!" algebasics is a fine online mathematics instructional resource that takes young and old alike through the basics of algebra. The breadth of the material is divided into sixteen sections, which begin with, appropriately, "the basics", and proceed all the way to a section on applying algebra to real-world situations. Each section asks users to solve a number of problems so that they will gain mastery of each concept. The interface deployed here is quite user-friendly, as each problem is narrated so that users will better understand the process needed to complete each problem successfully. Overall, it's a well-designed introduction to this area of the mathematical universe, and one that is very easy to use.Sun, 4 Feb 2007 03:00:05 -0600
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Here's an example. In games you want NPCs to be able to figure out how
to get from one place to another. To do that you need a path-finding
algorithm, which is a component of graph theory, which is part of
discrete math.
That's one specific example. More generally, discrete math is useful
because it lets you do algorithm analysis. You can find out if an
problem is solveable in polynomial time or if it's NP-complete. You can
find out if a problem is computable at all or if it's undecidable. These
are sort of important things to know so that you don't waste your time
trying to find an algorithm to an undecidable problem, or trying to come
up with a fast algorithm for something NP-complete!
Moreover, discrete math will let you comprehend data structures, and I
don't just mean like arrays and linked lists, but like trees, graphs,
heaps, deques, sets, dictionaries, hash tables, and so forth. And
choosing the right data structure to apply to a problem is supremely
important in all fields of programming.
Finally, even if the actual content of the class is less than useful,
taking the class is still useful because it teaches you how to write and
understand formal proofs. This is an absolutely necessary skill if you
think you might ever want to do research in CS, and not just spend years
being a grunt programmer for other people's projects.
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Solved Exercises Of Calculas Math Of Bsc
MathSheetGenerator is capable of generating math problems with two operands using any of the standard operators (add, subtract, multiply, divide). The number range for both operands as well as the result can be specified to allow the application to generate the exact type of exercises desired.
Take MathSheetGenerator for a test run and. Freeware download of MathSheetGenerator for Windows 1.3.0, size 2.52 Mb.
Vaxa Worksheet Generator CMZ2 is an application that gives you the possibility to create an endless supply of printable math worksheets. It is great for testing, refresher exercises and homework. The intuitive Wizard gives you the ability to easily customize each worksheet.. Free download of Vaxa Worksheet Generator CMZ2 1 7, size 3.40 Mb.
The TeX Math Font Generator is a set of programs that can produce a set of TeX math fonts that resemble a given text font. If you want to typeset mathematics with TeX in a special font that you own, then MathGen is what you want.. Freeware download of TeX Math Font Generator 0.2, size 82.70 KbScience Fair includes 10 real-world applications of physics and math for students ages 9 to 16.These applications are great ideas for science fairs.Levers teaches you about the three different lever types and the forces required to balance them. Pendulum lets you study basic oscillations and see the effects of changing lengths, weight, and. Free download of Science Fair 4.0, size 926.72 Kb.
This progect using for testing imagination of people with help of some math-process(in this case using method of conjugate gradient for minimisation of function). Freeware download of Imagination tester 1.0, size 342.38 Kb.
MathUtils is a small collection of usesful math-processing programs for Windows/Unix fammily, write in object pascal language. Applications are very simple to use.. Freeware download of MathUtils 0.00.1, size 33.33 Kb.
Series of interactive software art initiated by Josh Nimoy commissioned by Foundation for Arts and Creative Technology (FACT) Liverpool, England; in collaboration with John Moores University School of Computing and Math Sciences. HCI Art.
Solve problems related with the basic math operations (addition, subtraction, multiplication and division) of whole numbers, fractions, mixed numbers and decimals. All the problems are solved step by step, including comments, explanation as well as recommendations. At each step, the digits involved are highlighted in red or bold, in order to a. Free download of Basic Math Decoded 1.17, size 4.19 Mb.
Flash Cards are a time tested effective method to teach children to do elementary math problems and to memorize the solutions to these math problems. Many teachers recommend these exercises to hone kids math skills. Math-N-Flash kids math software provides this flash card experience with the experience and fun of interacting with a computer. The. Free download of Math-N-Flash 2.10, size 2.30 Mb.
ChattyInfty is an editor of math documents with voice output, usable by visually impaired people. Math expressions can easily be input and edited using only keyboard, with simultaneous speech output of symbols and math structure with key operations. It is a plug-in software of InftyEditor. All the functions of InftyEditor, e.g. conversion of. Free download of ChattyInfty (SAPI5) English Edition 2 13, size 7.18 Mb.
A full-featured, lean set of date/ time classes to replace java.util's Date and Calendar. All objects are immutable/threadsafe, and allow formatting and various kinds of date math and range operations. Note that only GregorianCalendar is supported.. Freeware download of Carfey Date 1.1, size 16.30 Kb.
MathWorx is a JavaScript library of mathematical objects, also including 2D plotting functionality and will eventually have 3D object compatibility. A GUI editor will be made based on these libraries to ease the development of interactive math pages.
Implementation of chess in Java. Education tool in an introductory university course in Java and object-oriented programming. Will feature full Javadoc descriptions of all methods, comprehensive tests and exercises of varying difficulty.
Design Science MathPlayer™ enables Microsoft Internet Explorer to display mathematical notation in web pages. They make MathPlayer available for free in order to foster the adoption of MathML in the math, science, and education communities. It is based on MathML technology and requires Internet Explorer for Windows version 6.0 and later.. Freeware download of MathPlayer 2 2, size 1.82 Mb.
Acupuncture3D is a professional designed to assist acupuncture students, teachers and practitioners.
Acupuncture3D is beautiful in acupuncture 3D model, interactive in navigation and exercises of acupoints. You will find Acupuncture3D a very handy and helpful assistant on learning acupuncture. for WindowsXP, 2003, Vista, 7
Mental Math Essential focuses on mental math of addition, subtraction, multiplication and division up to 9+9, 18-9, 9x9 and 81/9, which is an essential skill for any further math studies. This skill is so important that you are required to be able to have the answers in mind instantly without thinking. Mental Math Essential can help you achieve. Free download of +-+S+E Mental Math Essential 2.2, size 2.11 Mb.
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American Mathematics Contest 8 (Middle School) The AMC 8 is a 25 question, 40 minute multiple choice examination in junior high school (middle school) mathematics designed to promote the development and enhancement of problem solving skills. The examination provides an opportunity to apply the concepts taught at the junior high level to problems that not only range from easy to difficult but also cover a wide range of applications.
American Mathematics Contest 10 (Secondary Grades) The AMC 10 is a 25-question, 75-minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are allowed. The main purpose of the AMC 10 is to spur interest in mathematics and to develop talent through the excitement of solving challenging problems in a timed multiple-choice format. The problems range from the very easy to the extremely difficult.
American Mathematics Contest 12 (Secondary Grades) The AMC 12 is a 25-question, 75-minute multiple choice examination in secondary school mathematics containing problems which can be understood and solved with pre-calculus concepts. Calculators are allowed. The main purpose of the AMC 12 is to spur interest in mathematics and to develop talent through solving challenging problems in a timed multiple-choice format. Because the AMC 12 covers such a broad spectrum of knowledge and ability there is a wide range of scores. The National Honor Roll cutoff score, 100 out of 150 possible points, is typically attained or surpassed by fewer than 3% of all participants. The AMC 12 is one in a series of examinations (followed in the United States by the American Invitational Examination and the USA Mathematical Olympiad) that culminate in participation in the International Mathematical Olympiad, the most prestigious and difficult secondary mathematics examination in the world.
The Mandelbrot Competition (Secondary Grades) In those ten years the contest has grown to two divisions encompassing students from across the United States as well as from several foreign countries. Nearly half of the competitors in the USA Math Olympiad in the last couple of years have been Mandelbrot competitors. The Mandelbrot Competition is split into two divisions: Division A for more advanced problem solvers and Division B for less experienced students.
Mathcounts (Grades 7-8) Each year, more than 500,000 students participate in MATHCOUNTS at the school level. Those who do tell us that their experience as a "mathlete" is often one of the most memorable and fun experiences of their middle school years.
Math Problems of the Week (Grades K-12) The Problem of the Week is an educational web site that originates at the University of Mississippi. All the prizes are generously donated by CASIO electronics. All contest winners are chosen randomly from the pool of contestants that successfully solve that week's problem.
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Mastering Essential Math Skills
This exercise book is an excellent resource to practice and review math skills you´ll need to establish a strong foundation and smooth transition into Algebra and other higher math courses. Workbooks are available for 4th – 5th grade and middle school / high school.
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Geometry even buy the coffee!Algebra 2 contains both content that reviews or extends concepts and skills learned in previous grades as well as expanding into new, more abstract concepts in algebra. During this level course, students gain proficiency in solving linear equations, inequalities, and sys...
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Handbook of Complex Variables - 1 edition
Summary: "This modern book can be warmly recommended to mathematicians as well as to users of applied texts in complex analysis; in particular it will be useful to students preparing for an examination in the subject." --Mathematical Reviews"Creating a 'handbook' such as this is an interesting concept, and to this reviewer's knowledge this is the only one of its type in complex analysis. . . . This book may well be timely and useful to the readers it is intended for: working scientists, students, an...show mored engineers . . . The topics contained are quite broad . . . It is noteworthy that a glossary is included that provides the reader with a useful guide to terminology and basic concepts. Other valuable features are: (1) a discussion of the available computer packages that can do some complex analysis such as Maple and Mathematica, (2) a pictorial catalog of conformal well-known maps, and (3) tables of Laplace transforms." --SIAM Review"Krantz...has two audiences in mind for this handbook: first, the working scientist, with no background in complex analysis, who seeks a specific result to solve a specific problem; and second, the mathematician or scientist who once studied complex analysis and now seeks a compendium of results as an aid to memory. Though Krantz warns that this handbook contains no theory...and thus cannot serve as a textbook, the undergraduate student of complex analysis will nevertheless find certain sections replete with instructive examples (e.g., applications of contour integrations to definite integrals and sums; conformal mapping). Also, the glossary of terminology and notation should offer a useful aid to study.... Students should also see the chapter devoted to surveying computer packages for the study of complex variables. In an undergraduate library, this book can be counted as a supplement to an otherwise strong collection in functions of a single complex variable." --Choice"This handbook of complex variables is a comprehensive references work for scientists, students and engineers who need to know and use the basic concepts in complex analysis of one variable. It is not a book of mathematical theory but a book of mathematical practice. All basic ideas of complex analysis and many typical applications are treated. It is also written in a very vivid style and it contains many helpful figures and graphs." ---Zentralblatt MATH ...show less
2012
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Additional product details
Like many instructors today, Bob Prior's teaching has evolved in recent years to address major changes in the world of developmental math: the class format, the classroom itself, the teachers, and most importantly, the students. Bob teaches in a variety of formats (online, face-to-face, hybrid). He sees some students in class regularly and in office hours, while he knows other students only by name and email address.
Prealgebra is based on Bob Prior's own varied teaching experiences, and is designed to serve the needs of today's developmental math student and classroom. Bob knows that because today's students don't always have a lot of "face time" with their instructors, a usable, thorough, easy-to-follow text is key to their success. He draws students into the book (and not just the exercise sets!) by incorporating practice opportunities throughout the body of text. Thorough explanations and examples explain the "why" behind the mathematics, and patiently develop each concept.
CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book.
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Math for Health Care Professionals
9781401858032
ISBN:
1401858031
Pub Date: 2004 Publisher: Thomson Learning
Summary: Math for Health Care Professionals is a comprehensive, foundational resource that is equally effective in the classroom or for self-study. It assumes no prior knowledge of mathematics or health care but merges the two topics into the capstone of a complete learning package, including a student workbook. While the fundamentals of mathematics are a foundation to this book, their application to health care is emphasized.... Drug dosages, intake and output, weights and measures, temperatures, IV drip rates, and conversions are a focus, and illustrations of syringes, prescriptions, medication labels, IV bags, and I and O charts allow the reader to practice real-life health care skills requiring mathematics.
Kennamer, Michael is the author of Math for Health Care Professionals, published 2004 under ISBN 9781401858032 and 1401858031. Five hundred eighty seven Math for Health Care Professionals textbooks are available for sale on ValoreBooks.com, two hundred used from the cheapest price of $0.16, or buy new starting at $21 [more
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Rigorous development of some central ideas in analysis including limits, continuity and differentiability. Prerequisite: Grade of C or higher in MATH 222 or MATH 235.
Prerequisite(s) / Corequisite(s):
Grade of C or higher in MATH 222 or MATH 235.
Course Rotation for Day Program:
Offered odd Fall.
Text(s):
Most current editions of the following:
An Interactive Introduction to Mathematical Analysis
By Lewin, Jonathon (Cambridge University Press) Recommended
Advanced Calculus
By Buck, R. Creighton (McGraw-Hill) Recommended
Elementary Analysis: The Theory of Calculus
By Ross, Kenneth A. (Springer-Vertag) Recommended
Course Objectives
• To describe and explain the theoretical foundations of one-variable calculus. • To recognize valid mathematical arguments. • To verify precise mathematical definitions as one step in proving mathematical theorems. • To provide examples and counterexamples for mathematical statements. • To communicate mathematically, formally and informally, both verbally and in writing.
Measurable Learning Outcomes:
Use the Axiom of Completeness and its consequences as a framework for comparing the real numbers, the rational numbers and the integers.
Define a topology on the real line and establish its fundamental properties.
Give a rigorous definition of the limit of a sequence and connect limits of sequences to the topology of the real line.
Give a rigorous definition of the limit of a function and show that the definition is consistent with the definition of limits of sequences.
Using the appropriate definition or theorem, establish the limit of a specific sequence of function.
Define continuity of a function and prove the intermediate Value Theorem.
Define uniform continuity of a function and compare to the concept of continuity.
Using the appropriate definition or theorem, show that a specific function is continuous or uniformly continuous.
Define the concept of differentiability for functions and prove the Mean Value Theorem.
Using the appropriate definition or theorem, show that a specific function is differentiable and compute its derivative.
Apply the ideas of limits, continuity and differentiability to establish the basic results used in differential calculus.
Topical Outline:
Topology of the real numbers
Limits of sequences
Limits of functions
Continuity and the intermediate value theorem
Differentiability and the mean value theorem
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Geometry Reasoning, Measuring, Applying
Author:
Unknown
ISBN-13:
9780395937778
ISBN:
0395937779
Edition: 10 Pub Date: 2000 Publisher: Houghton Mifflin College Div
Summary: The theorems and principles of basic geometry are clearly presented in this workbook, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourag...e students to enjoy working the pages while gaining valuable practice in geometry corner wear, highlighting, underlining & or writing. CD-ROM or supplement may not be included. The book is still a good reading copy. A portion o [more]
Has heavy shelf wear, corner wear, highlighting, underlining & or writing. CD-ROM or supplement may not be included. The book is
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This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).
Calculus hasn't changed, but your students have. They have been raised on technology, immediacy, and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas' Calculus, Twelfth Edition, helps you reach today's students by developing conceptual understanding while maintaining a consistent level of rigor; offering the right mix of relevant applications, conceptual exercises, and skills practice; and incorporating current learning and teaching technology. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and increased clarity and precision.
CourseSmart textbooks do not include any media or print supplements that come packaged with the bound book.
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On this online calculator calculate mathematical expressions and complex numbers. You can do matrix algebra and solve linear systems of equations and graph all 2D graph types. You can also calculate z... More: lessons, discussions, ratings, reviews,...
Plomplex is a complex function plotter using domain coloring. You can compose a function with a complex variable z, and generate a domain coloring plot of it. You can choose the plot range as well as
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This document from SpaceTEC National Aerospace Technical Education Center is one of three handbooks for people preparing for mechanic certification with airframe or powerplant ratings, or both. This particular volumeWebmath, from Discovery Education, provides help for mathematics students. Categories include general mathematics, K-8 math, algebra, geometry, trigonometry and calculus. The site covers everything you need to know,...
Based at the University of Plymouth, the Centre for Innovation in Mathematics Teaching has developed many instructional materials designed to help both novice and experienced math teachers. This particular area of the...
This lesson from Illuminations helps students see connections between mathematics and other disciplines, such as government, history and ethics. The material will allow students to develop their skills in mathematical...
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More About
This Textbook
Overview
This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate
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Basic Algebra
Basic Algebra is where we finally put the algebra in pre-algebra. The concepts taught here will be used in every math class you will take from here on. We'll introduce you to some exciting stuff like drawing graphs and solving some complicated equations.
Don't let the word "algebra" intimidate you. You actually have been using this type of math for years. In fact, many people find algebra to be one of the easier types of math to learn, since it is full of common sense rules and ideas.
"As long as algebra is taught in school, there will be prayer in school. " – Cokie Roberts
Pre-Algebra
Basic algebra will help you become a better problem solver. You'll size up a problem, brainstorm creative options for solving it, and chart a clear path to its solution.
Your mad problem solving skills will serve you well throughout your entire life. You have some exciting things ahead of you: getting through school, building a career, and leaving your mark on the world.
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Algebra : A CombinedElayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Algebra: A Combined Approach, Fourth Editionwas written to provide students with a solid foundation in algebra and help them effectively transition to their next mathematics course. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on their quest for success.
An award-winning instructor and best-selling author, Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.
Prior to writing textbooks, Elayn developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the Chapter Test Prep Video to help students as they prepare for a test–their most "teachable moment!"
Elayn's experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the Instructor-to-Instructor video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the videos useful for review.
Her textbooks and acclaimed video program support Elayn's passion of helping every student to succeed.
Chapter R: Prealgebra Review
R.1 Factors and the Least Common Multiple
R.2 Fractions
R.3 Decimals and Percents
Chapter 1: Real Numbers and Introduction to Algebra
1.1 Tips for Success in Mathematics
1.2 Symbols and Sets of Numbers
1.3 Exponents, Order of Operations, and Variable Expressions
1.4 Adding Real Number
1.5 Subtracting Real Numbers
Integrated Review
1.6 Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers
1.8 Simplifying Expressions
Chapter 2: Equations, Inequalities, and Problem Solving
2.1 The Addition Property of Equality
2.2 The Multiplication Property of Equality
2.3 Further Solving Linear Equations
Integrated Review
2.4 An Introduction to Problem Solving
2.5 Formulas and Problem Solving
2.6 Percent and Mixture Problem Solving
2.7 Linear Inequalities and Problem Solving
Chapter 3: Graphing Equations and Inequalities
3.1 Reading Graphs and The Rectangular Coordinate System
3.2 Graphing Linear Equations
3.3 Intercepts
3.4 Slope and Rate of Change
Integrated Review
3.5 Equations of Lines
3.6 Graphing Linear Inequalities in Two Variables
Chapter 4: Systems of Equations
4.1 Solving Systems of Linear Equations by Graphing
4.2 Solving Systems of Linear Equations by Substitution
4.3 Solving Systems of Linear Equations by Addition
Integrated Review
4.4 Systems of Linear Equations and Problem Solving
Chapter 5: Exponents and Polynomials
5.1 Exponents
5.2 Negative Exponents and Scientific Notation
5.3 Introduction to Polynomials
5.4 Adding and Subtracting Polynomials
5.5 Multiplying Polynomials
5.6 Special Products
Integrated Review
5.7 Dividing Polynomials
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor
6.2 Factoring Trinomials of the Form x2 + bx + c
6.3 Factoring Trinomials of the Form ax2 + bx + c
6.4 Factoring Trinomials of the Form ax2 + bx + c by coupling
6.5 Factoring by Special Products
Integrated Review
6.6 Solving Quadratic Equations by Factoring
6.7 Quadratic Equations and Problem Solving
Chapter 7: Rational Expressions
7.1 Simplifying Rational Expressions
7.2 Multiplying and Dividing Rational Expressions
7.3 Adding and Subtracting Rational Expressions with the Same
Denominator and Least Common Denominator
7.4 Adding and Subtracting Rational Expressions with Different Denominators
7.5 Solving Equations Containing Rational Expressions
Integrated Review
7.6 Proportions and Problem Solving with Rational Equations
7.7 Simplifying Complex Fractions
Chapter 8: Graphs and Functions
8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines
8.2 Introduction to Functions
8.3 Polynomial and Rational Functions
Integrated Review
8.4 Interval Notation, Finding Domains and Ranges from
Graphs and Graphing Piecewise-Defined Functions
8.5 Shifting and Reflecting Graphs of Functions
Chapter 9: Systems of Equations and Inequalities and Variation
9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving
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Precalculus: Vector Quiz due. Law of sines and law of cosines test is Tuesday. Vector project wed, Thurs, Fri. Register at for on line quizzes. Algebra II: Lessons 6.6, 6.7. Bellwork quiz on 6.5 is Tuesday, 6.6 is Friday.
Bonus next test. All Classes. Write your answer next to your name on your test paper.
____________________ lived around the year 250 BC and among other things, developed a method for determining the volume of objects with irregular shapes
If you need to download free powerpoint viewer go to this site from Microsoft.
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Introductory Technical Mathematics - 5th edition
ISBN13:978-1418015435 ISBN10: 1418015431 This edition has also been released as: ISBN13: 978-1418015459 ISBN10: 1418015458
Summary: Introductory Technical Mathematics, 5th Edition provides current and practical vocational and technical math applications for today's sophisticated trade and technical work environments. Each unit delivers practical math concepts alongside step-by-step examples and problems drawn from various occupations. The plentiful examples and problem sets emphasize on-the-job applications of math. Enhancements to the fifth edition include improved algebra coverage, a new sectio...show moren on basic statistics, new material on conversions from metric to customary systems of measure, and a section that supplements the basics of working with spreadsheets for graphing.
Features:
a new section on basic statistics features an all-new chapter on statistics and a chapter that consolidates all the statistical graphing techniques of bar, line, and circle graphs into one location
APPENDIX A United States Customary and Metric Units of Measure APPENDIX B Formulas for Areas (A) of Plane Figures APPENDIX C Formulas for Volumes and Areas of Solid Figures APPENDIX D Answers to Odd-Numbered Exercises Fair 14180154319.24 +$3.99 s/h
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bigeasybooks Chicago, IL
2006-06-09 Paperback Very Good No writing & no highlighting. Minor wear. Ships quickly!
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2006 Paperback Fair CONTAINS WATER DAMAGE / STAIN, STILL VERY READABLE, SAVE! This item may not include any CDs, Infotracs, Access cards or other supplementary material.
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harambee Kansas city, MO
2006 Paperback This book is in good condition with minimum amount of wear. Same day shipping. Thank you.
$22.36 +$3.99 s/h
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Highfield Books PA Pittsburgh, PA
2006-06-09 Paperback Good 5th edition. Has few markings. Binding is secure. Cover is sturdy with wear to the edges. Unless noted, used texts do NOT include supplements such as CDs & codes. Orders p...show moreacked carefully and shipped daily with tracking # emailed to you. Canadian and international orders welcomed!9001 +$3.99 s/h
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SellBackYourBook Aurora, IL
1418015431 ITEM IN REALLY ROUGH SHAPE! Possible damage to binding, torn pages, slight liquid damage etc... Still usable. All day low prices, buy from us sell to us we do it all!!
$193.01 +$3.99 s/h
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A Book Company Lexington, KY
May contain some highlighting. Supplemental materials may not be included. We select best copy available. - 5th Edition - Paperback - ISBN 9781418015435
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homework set 16
Course Number:
COMPUTER S Math 225,
Spring
2010
College/University: Bilkent University
Word Count: 433
Rating:
Document Preview
BILKENT UNIVERSITY Department of Mathematics MATH 225, LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS Homework set # 16 U.Muan g July 16, 2008
FUNDAMENTAL SET OF SOLUTIONS 1) a) b) c) Find the Wronskian of the following given pair of functions: e2x , e-3x/2 . x, xex . ex sin x, ex cos x.
2) Determine the largest interval in which the given I.V.P. is certain to have a unique twice differentiable solution. Do not find...
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.
BILKENT UNIVERSITY Department of Mathematics MATH 225, LINEAR ALGEBRA and DIFFERENTIAL EQUATIONS, Homework set # 19 U.Muan g July 16, 2008VARIATION OF PARAMETERS 1) Find a particular solution of the following D.E. by using the variation of parameters. T
ECE 2574 Introduction to Data Structures and Algorithms Programming Assignment 2: Part (a)Problem: Polynomial addition and multiplication Objective: The main goal of this assignment is to learn about linked lists and their implementation. Other goals are
Mitosis a. The slides: 1. Telophase - The two divided cells are being de-condensed and become grouped in new nuclei. 2. One is displaying anaphase, while the other is displaying metaphase. 3. Anaphase - The cells look like they are just starting to break
7. DNA Exercise 1: a. Sugar, Nitrogenous base, and Phosphates b. Adenine, Thymine, Cytosine, and Guanine Exercise 2: a. It would take 12 nucleotides to construct the coding standard of the globin molecule. b. It would take 24 nucleotides to model this par
8. Extraction of DNA a. Under my microscope, it seems like I can only see clumps of strings, but not the DNA itself. b. No, I expected to see a single identifiable strand of DNA. c. Although I did not expect to see the double helix formation, I did expect
Lab 12 / Michael Schonfeld Exercise 1 A. The sample I observed the most microbial growth was the kitchen sponge. However, to my surprise, the electric light switch had the least microbial growth. B. The differences seemed to have a correlation between the
Lab 6 - Part 2 / Michael Schonfeld A. When I blew air into the Bromothymol Blue solution, I added oxygen to it, and it changed color to yellow. This happened because the CO2 dissolved in the water, and was added to the solution. Bromothymol Blue turns yel
Lifting Scheme: Wavelets were defined as translates and dilates of one mother wavelet function and were used to analyze and represent a general function. Several techniques exist to construct wavelet bases and one of those techniques is lifting scheme. It
Meyer wavelet The first orthonormal wavelets were constructed by Meyer and they were bandlimited. Let (t ) be a real valued function with a Fourier transform ( ) that satisfies the following: 1. It is real and positive in the range 4 / 3 and is zero at fr
Bandlimited WaveletsThe orthonormal basis generating wavelets which are bandlimited are said to be bandlimited wavelets. It is possible to have orthonormal basis generating wavelets that are bandlimited; that is, their Fourier transforms are supported co
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Stock Status:(Out of Stock)
Availability::Permanently Out of Stock Product Code:ALGB
Qty:
Description
Contents_Samples
Algebra is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.
This book is about algebra. The main part of the book is made up of problems. The best way to deal with them is : Solve the problem by yourself - compare your solution with the solution in the book (if it exists) - go to the next problem. However, if you have difficulties solving a problem (and some of them are difficult), you may read the hint or start to read the solution. If there is no solution in the book for some problem, you may skip it ( it is not heavily used in the sequel) and return to it later.
"The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific 'practical' problems but there is much more development of the ideas...[The authors] have shown how to write a serious yet lively look at algebra." -- R. Askey, The American Mathematics Monthly
"Were Algebrato be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher... In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics." -- H. Wu, The Mathematical Intelligencer
Above are extracts from the book Algebra and from the publisher Birkhauser (with permission of the publishers).
There are no teacher's guide, workbook or answer key for this book. Solutions are provided for some of the problems.
Please note that this book is not published in Singapore.
Algebra by Gelfand and Shen
Introduction
Exchange of terms in addition
Exchange of terms in multiplication
Addition in the decimal number system
The multiplication table and the multiplication algorithm
The division algorithm
The binary system
The commutative law
The associative law
The use of parentheses
The distributive law
Letters in algebra
The addition of negative numbers
The multiplication of negative numbers
Dealing with fractions
Powers
Big numbers around us
Negative powers
Small numbers around us
How to multiply am by an, or why our definition is convenient
The rule of multiplication for powers
Formula for short multiplication: The square of a sum
How to explain the square of the sum formula to your younger brother or sister
The difference of squares
The cube of the sum formula
The formula for (a+b)4
Formulas for (a+b)5, (a+b)6,... and Pascal's triangle
Polynomials
A digression: When are polynomials equal?
How many monomials do we get?
Coefficients and values
Factoring
Rational expressions
Converting a rational expression into the quotient of two polynomials
Polynomials in one variable
Division of polynomials in one variable; the remainder
The remainder when dividing by x - a
Values of polynomials, and interpolation
Arithmetic progressions
The sum of an arithmetic progression
Geometric progressions
The sum of a geometric progression
Different problems about progressions
The well-tempered clavier
The sum of an infinite geometric progression
Equations
A short glossary
Quadratic equations
The case p = 0. Square roots
Rules for square roots
The equation x2+px+ q=0
Vieta's theorem
Factoring ax2+bx+c
A formula for ax2+bx+c=0(where a does not equal 0)
One more formula concerning quadratic equations
A quadratic equation becomes linear
The graph of the quadratic polynomial
Quadratic inequalities
Maximum and minimum values of a quadratic polynomial
Biquadratic equations
Symmetric equations
How to confuse students on an exam
Roots
Non-integer powers
Proving inequalities
Arithmetic and geometric means
The geometric mean does not exceed the arithmetic mean
Problems about maximum and minimum
Geometric illustrations
The arithmetic and geometric means of several numbers
The quadratic mean
The harmonic mean
Our recommendation:
This book is recommended for Mathematics teachers and "serious" Mathematics students.
It does not cover all topics in algebra 1 or 2, and concentrates on theory rather than application.
It would be ideal for math clubs or a supplement to other algebra.
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Hirsch, Devaney, and Smale's the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems.
Classic text by three of the world's most prominent mathematicians
Continues the tradition of expository excellence
Contains updated material and expanded applications for use in applied studiesThe 2nd edition of Global Politics: A New Introduction continues to provide a completely original way of teaching and learning about world politics. The book engages directly with the issues in global politics that students are most interested in, helping them to understand the key questions and theories and also to develop a critical and inquiring perspective. Completely revised and updated throughout, the 2nd edition also offers additional chapters on key issues such as environmental politics, nationalism, the internet, democratization, colonialism, the financial crisis, political violence and human rights.
Introduction to Languages and the Theory of Computation, 4th edition by John Martin
English | 2010 | ISBN: 0073191469 | 448 pages | PDF | 3.42 MB
Introduction to Languages and the Theory of Computation helps students make the connection between the practice of computing and an understanding of the profound ideas that defines it. The book's organization and the author's ability to explain complex topics clearly make this introduction to the theory of computation an excellent resource for a broad range of upper level students.
The author has learned through many years of teaching that the best way to present theoretical concepts is to take advantage of the precision and clarity of mathematical language. In a way that is accessible to students still learning this language, he presents the necessary mathematical tools gently and gradually which provides discussion and examples that make the language intelligible.
Computer-Aided Control Systems Design: Practical Applications Using MATLAB® and Simulink® supplies a solid foundation in applied control to help you bridge the gap between control theory and its real-world applications. Working from basic principles, the book delves into control systems design through the practical examples of the ALSTOM gasifier system in power stations and underwater robotic vehicles in the marine industry. It also shows how powerful software such as MATLAB® and Simulink® can aid in control systems design
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The WordCalc app is a mathematical expression solver within Microsoft Word 2013. To solve a mathematical expression select the expression or type the expression in textbox provided and press enter. The resulting value of the expression will be shown at the top of the result box. The app also features a history of previously solved expressions and results for the current session. Students can solve math problems within Word 2013 without opening another program. It supports the following operators and functions: Operators: +, -, *, /, and ^. Functions: sin, cos, tan, asin, acos, atan, sqrt, abs, floor, ceil, log, min, max, and avg.
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MATLAB Student Version
04/01/03
Students in engineering, math or science have a new technical computing resource designed for their needs. The MathWorks' MATLAB Student Version includes full-featured versions of MATLAB and Simulink, the software products used by engineers, scientists and mathematicians at leading universities, research labs, technology companies and government labs. MATLAB integrates computation, data analysis, visualization and programming in one environment. Simulink is one of the leading interactive environments for modeling, simulating and analyzing dynamic systems. In addition, there is no difference between the student and professional versions of the program, which, according to the company, is important because students are learning skills with the same tools they may use in a professional arena. The program also comes with MATLAB and Simulink books to help students get started. This product has a special student price of $99. The MathWorks, (508) 647-7000,
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