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Meets NCTM Standards:
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
This lesson shows an example of two intersecting sets inside of a universal set, and it shows how to find and write what the compliment of one of the sets is. This is great if you are just learning about sets and set notation.
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Mathematics
Mathematics is the foundation of the sciences, and the technology largely responsible for our present standard of living. Mathematics is one of the most productive tools yet discovered for unraveling the mysteries of our universe. In some instances, it is the only language in which some ideas can be expressed.
Many Options
Degrees
LSSU offers several options for a student interested in the study of mathematics, including a traditional mathematics major, along with a mathematics program that emphasizes actuarial and business applications, programs in mathematics for education at both the elementary and secondary levels, and a program emphasizing computational mathematics applications.
The Computer and Mathematical Sciences program provides a solid background in both mathematics and computer science. Many graduates from this program who work in the computer industry have stressed that the mathematics foundation gained from this degree gave them a distinct advantage in the work place.
Professor Explores Technology as Teaching Aid
Kimberly Muller Ph.D., professor of mathematics and computer science, had her article "How Technology Can Promote the Learning of Proof," published in the February 2010 issue of "Mathematics Teacher" magazine, one of the most prestigious refereed journals of the mathematics field.
In her article, Muller describes how using the Geometer's Sketchpad can help students learn about geometric proof through exploration, discovery and conjecture.
Professor Muller's research has been published in the Proceedings of the American Mathematical Society, as well, most recently in Vol. 137, No. 7. Her article, "Vector Measures and the Strong Operator Topology," was co-written and researched with Paul Lewis Ph.D. of the University of North Texas and Andy Yingst Ph.D. of the University of North Carolina
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Algebra 1 Concepts and Skills
Are you confused about what is taught in an Algebra 1 curriculum?
This page will give you an idea of the Algebra 1 concepts and skills that are taught and the order in which they are presented.
This is the order in which I like to teach the units; however, not all curriculum is set up exactly the same. So, please use this as a guide, but remember that there are many different Algebra 1 textbooks and curricula and each is set up a little different.
I teach two other supplemental units as well during the year. One is on Statistics and the other is Probability. I stick these units in when either the students need a "break" or when I don't have enough time to complete a full Unit (i.e. before Winter or Spring Break). These units are necessary because they are heavily tested on state and standardized tests!
Supplemental Unit: Statistics
Measures of Central Tendancy (Mean, Median, and Mode)
Stem and Leaf Plots
Box and Whisker Plots
Time Lines, Circle Graphs
Supplemental Unit: Probability
Expected Value
Independent and Dependent Events
Simulations
Geometric Probablility
Hopefully this gives you an indication of the different Algebra 1 concepts and skills that are typically taught! Just remember, the sequence of units can vary among different textbooks!
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Barron's Mathematics Study Dictionary - 98 edition
Summary: Focused especially for use by students on the middle-to-high school level, this quick-reference source is helpful to anybody who needs to know the meaning of math terms in clear, simple language. An opening alphabetized Wordfinder index contains more than 1,000 words, and directs readers to the page where the word is defined. Where needed, the definition is accompanied by examples. The book also features helpful illustrative diagrams--or instance, a full page demonst...show morerating the geometry of the circle, another page showing quadrilateral geometric shapes, and still others showing ways of charting statistics, measuring vectors, and more. Here is an imaginative new approach to mathematics, a great classroom supplement, a useful homework helper for middle school and high school students, and a reference book that belongs in every school library. ...show less
"I recently completed several years' commitment to elementary school and science glossaries...I therefore can view with appreciation, indeed with some amazement, how Tapson and his editors have handled the nearly insurmountable difficulties inherent in such a project...Just about everything in secondary-level mainstream mathematics, pure and applied, is tidily handled in a classroom-friendly way...I find the book easy to use, clear in presentation, adequate for the basics, and splendid in its efforts to support and extend student inquiry."WoodyBooks Huntington Beach, CA
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Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone.
High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essays--by mathematicians, educators, and other experts--is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education.
This important book addresses how to make mathematical education of all students meaningful--how to meet the practical needs of students entering the work force after high school as well as the needs of students going on to postsecondary education.
The short readable essays frame basic issues, provide background, and suggest alternatives to the traditional separation between technical and academic mathematics. They are accompanied by intriguing multipart problems that illustrate how deep mathematics functions in everyday settings--from analysis of ambulance response times to energy utilization, from buying a used car to "rounding off" to simplify problems.
The book addresses the role of standards in mathematics education, discussing issues such as finding common ground between science and mathematics education standards, improving the articulation from school to work, and comparing SAT results across settings.
Experts discuss how to develop curricula so that students learn to solve problems they are likely to encounter in life--while also providing them with approaches to unfamiliar problems. The book also addresses how teachers can help prepare students for postsecondary education.
For teacher education the book explores the changing nature of pedagogy and new approaches to teacher development. What kind of teaching will allow mathematics to be a guide rather than a gatekeeper to many career paths? Essays discuss pedagogical implication in problem-centered teaching, the role of complex mathematical tasks in teacher education, and the idea of making open-ended tasks--and the student work they elicit--central to professional discourse.
High School Mathematics at Work presents thoughtful views from experts. It identifies rich possibilities for teaching mathematics and preparing students for the technological challenges of the future. This book will inform and inspire teachers, teacher educators, curriculum developers, and others involved in improving mathematics education and the capabilities of tomorrow's work force
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Avenel PrecalculusAlgebra is the collection and categorization of many different rules, formulas and properties. A typical Algebra 1 course reinforces the very basics of solving, graphing, and writing linear equations and inequalities. The next step introduces powers and exponents, quadratic equations along with polynomials and factoring
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Overview
REA?sMore About
This Book
Overview
REA'sREA's Probability High School Tutor study guide helps high school student succeed:
Covers all the Probability topics taught in classrooms
Makes Probability easy to learn, easy to understand, and easy to study
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This is not rocket science; however, it is the basic academic knowledge and logical reasoning that one acquires throughout life. Some practical knowledge of math - understanding what the word problems are REALLY asking and filtering the excess information. Knowing and understanding the basic me...
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How good is your model? Angry Birds edition
With Algebra 2 this week, I decided it was time to get on the Angry Birds wagon. I didn't even mention exactly what we were going to do with it - the day before, the students found the above image in the class directory on the school server, and were immediately intrigued. This was short lived when they learned they weren't going to find out what it would be used for until the day after.
To maximize the time spent actually mathematical modeling, I used the video Frank Noschese posted on his blog for all students. They could pick any of the three birds and do the following:
Part A:
Birds are launched at 6, 13, and 22 seconds in the video. Let's call each one Bird A, Bird B, and Bird C.
• Take a screenshot of any of the complete paths of birds A, B, or C.
• Import the picture into Geogebra. Create the most accurate model you can for the bird you selected. What is the equation that models the path? Does it match that of your neighbors?
Part B:
• Go back to the video and the part in the video for the bird that you picked. Move forward to a frame shortly after the bird is launched, take a screenshot, and put it again into Geogebra. Can you create a model that hits the landing point you found before using only the white dots that show only the beginning of the path?
If not, find the earliest possible time at which you can do this. Post a screenshot of your model and the equations for the models you came up with for both Part A and Part B.
My hope is not to just use the excitement of using Angry Birds in class to motivate knowing how to model using quadratic functions. That seems a bit too much like a gimmick. The most interesting and realistic use (and ultimately the most powerful capability of any model) of this source of data is to come up with as accurate of a prediction of the behavior of the trajectory as is possible using minimal information. It's easy to come up with a quadratic model that matches the entire path after the fact. Could they do this only twenty frames after launch? Ten?
The students quickly started seeing how wildly the parabola changes shape when the points being used to model the parabola are all close together. This made obvious the importance of collecting data over a range of values in creating a model - the students caught on pretty quickly to this fact.
I think Angry Birds served as a cool "something different" for the class and has a lot of potential in a math class, as it does in physics. I am hoping to use this as a springboard to have students understand the power of models and ultimately choose something to model that allows them to predict a phenomenon that is of some importance to their own adolescent worlds. I don't exactly know what this might be, and I have some suggestions for students to make if they are unable to come up with anything, but this tends to be one of those ideas that eventually results in a few students doing some very original work. Given my interest in ultimately getting students to participate in the Google Science Fair, I think this is just the thing to push them in the right direction of making their own investigation.
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Mathematical Proofs A Transition to Advanced Mathematics
9780321390530
ISBN:
0321390539
Edition: 2 Pub Date: 2007 Publisher: Pearson Addison-Wesley
Summary: Mathematical Proofs: A Transition to Advanced Mathematics, 2/e,prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets.KEY TOPICS: Communicating Mathematics, Sets, Logi...c, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove, Equivalence Relations, Functions, Cardinalities of Sets, Proofs in Number Theory, Proofs in Calculus, Proofs in Group Theory.MARKET: For all readers interested in advanced mathematics and logic.
Chartrand, Gary is the author of Mathematical Proofs A Transition to Advanced Mathematics, published 2007 under ISBN 9780321390530 and 0321390539. One hundred four Mathematical Proofs A Transition to Advanced Mathematics textbooks are available for sale on ValoreBooks.com, fifty three used from the cheapest price of $31.49, or buy new starting at $118.03.[read more
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Florida End Of Course Assessment Benchmark And Intervention: Algebra
Algebra
Biology
Geometry
US History
Florida - Algebra
We have a hard time trusting anything that spends its time substituting one thing for another, and Algebra I is no exception. Good thing this isn't like the time our parents tried to convince us that 17 carrots were equivalent to a steak (17c = s). Instead, the Florida Algebra I End-of-Course Assessment covers functions, linear equations, inequalities, polynomials, rationals, radicals, quadratics, and discrete mathematics! Okay, let's try that again. Good thing Shmoop has a benchmark assessment to identify the pain points and intervention materials to help address them.
Try a sample:
"You only get out as much as you put in." We hear people say this about studying, sports, practicing an instrument, and living life itself. It also describes functional relationships, because every input has exactly one output.
Suppose we drink two glasses of lemonade at the last picnic of the summer. Then we'll likely take four trips to the lav in the next three hours. If we drink four glasses, we'll hit the head eight times in the next three hours. Six glasses will send us to the toilet a whopping dozen times over the next three hours.
Our nickname back in elementary school was "Peanut Bladder." We have no idea why.
Shmooping Florida EOC
What can Shmoop do for you?
Aligned to Next Generation Sunshine State Standards? Check.
Benchmark assessment? Unlock and administer a full-length assessment to keep track of student progress throughout the year.
Specifically targeted intervention? Every standard has its very own explanation. No masking-tape-down-the-middle reviews here.
Practice questions to support mastery? We've got more questions than you can shake a stick at.
Not to mention tons of practice questions and test specific strategies!
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Roads to Geometry
9780130413963
0130413968
Summary: Clarifying, extending and unifying concepts discussed in basic high school geometry courses, this text gives readers a comprehensive introduction to plane geometry.
Wallace, Edward is the author of Roads to Geometry, published 2003 under ISBN 9780130413963 and 0130413968. Three hundred fifty one Roads to Geometry textbooks are available for sale on ValoreBooks.com, eighty four used from the cheapest price of... $33.49, or buy new starting at $59.79
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Course Goals:
The main goal of the course is to extend the ideas of the differential
calculus of a single variable to the relm of multi-variable functions. The
concept of a vector will play an important role in this, and we will find
it very convenient to consider our functions to be defined on vectors and
to return a vector value. Along the way, we will present some key ideas
from linear algebra.
Notice that the goal is not to provide the student with a set of
computational techniques and procedures for solving a set of predefined
problems. Rather, the emphasis is on the fundamental concepts and how
they relate to each other. Computation is an important part of this
process, but it is not the only one, nor is it the primary one. Students
who approach this course assuming that "the answer" is the only thing that
counts will find it frustrating and are not likely to do well.
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Discrete mathematics is a blend of many different elements of logic, combinatorics and graph theory. I hold a Master's in Math Education and have coached many students through various Discrete math courses. Let me help you reduce your math anxiety
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Find a Spring Algebra 2For too many students, studying is a dreaded chore with countless preconceived notions about "cramming" in a locked room with a book and a light. Using techniques such as Cornell or SQ3R, studying can become much more process-related with short bursts of energy separated by periods of rest/reinforcement. Each student requires different things to trigger the learning/remembering processSince...
...Thomas and received an A in the course. Linear Algebra is the study of matrices and their properties. The applications for linear algebra are far reaching whether you want to continue studying advanced algebra or computer science.
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Product Details
See What's Inside
Product Description
By Gilbert J. Cuevas and Karol Yeatts
The important ideas of algebra, including patterns,
variables, equations, and functions, are the focus of this book. Student
activities that introduce and promote familiarity with these ideas include
constructing growing patterns using isosceles triangles, analyzing situations
with constant or varying rates of change, and observing and representing various
patterns in an array. The supplemental CD-ROM features interactive electronic
activities, master copies of activity pages for students, and additional
readingsAn assortment of discussions, activities, and investigations emphasize the collection and analysis of data and develop the idea of probability as a measure of the likelihood of events that are meaningful and real to studentsThe National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research.
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Grade 7 Curriculum 6-Subject Student Set
Price: $49.99
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This 7th Grade Homeschool Set includes the following student editions:
1. Math - Prentice Hall Mathematics Interactive Textbook CD-Rom (FL edition) 2. Social Studies - Glencoe Civics Today Student Textbook 3. Language - Glencoe's Grammar and Language Student Workbook 4. Reading - Scholastic's Read XL Reading Book 5. Science - Glencoe Florida Science Reading Essentials Student Book 6. Elective - Glencoe Introducing Art Student Textbook Condition: Used These books vary in degree of wear from like-new to acceptable conditions. Some have never barely used and some have significant wear to the covers. NONE of the books have any significant writing or highlighting in the text! There may be writing on the inside covers or outside edge and may be laminated to reduce further wear. The best books available will be shipped at time of payment. We cannot guarantee the software is compatible with all operating systems.
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In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. "The Mathematics of Egypt, Mesopotamia, China, India, and Islam" gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors - Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam) - are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text.
Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroomHelps students to bridge the gap between calculus and advanced math courses. This 8th edition provides a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically - to analyze a situation, extract pertinent facts, and draw appropriate conclusions.
Intended for the one- or two-semester course required of Education majors, this book offers future teachers a comprehensive mathematics course designed to foster concept development through examples, investigations, and explorations.
Suitable for courses that require the use of a graphing calculator, this book features quality exercises, interesting applications, and innovative resources to help you succeed. It achieves accessibility through careful writing and design - including examples with detailed solutions that begin and end on the same page, which maximizes readability.
Books By Author Victor J. Katz
What is algebra? For some, it is an abstract language of x's and y's. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. This title considers how these two seemingly different types of algebra evolved and how they relate.
Author Biography - Victor J. Katz
Victor J. Katz is professor emeritus of mathematics at the University of the District of Columbia. His many books include the textbook, "A History of Mathematics: An Introduction, 2nd ed." (Addison-Wesley). He is the coeditor of "Historical Modules for the Teaching and Learning of Mathematics".
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not Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience from the undergraduate seeking experience outside the traditional range of studies to mathematicians wanting a leisurely introduction to the subject. Graduate students beginning a program of advanced study will find a worthwhile overview, and the reader will need no training beyond linear algebra to understand the mathematics presented. The interplay between topology and algebra, known as algebraic topology, arises early in the book, when tools from linear algebra and from basic group theory are introduced to study the properties of knots, including one of mathematics' most beautiful topics, symmetry. The book closes with a discussion of high-dimensional knot theory and a presentation of some of the recent advances in the subject - the Conway, Jones and Kauffman polynomials. A supplementary section presents the fundamental group, which is a centerpiece of algebraic topology.
Editorial Reviews
Review
'The author's book would be a good text for an undergraduate course in knot theory ... The topics in the book are nicely tied together ... The topics and the exercises together can provide an opportunity for many undergraduates to get a real taste of what present day mathematics is like.' Mathematical Reviews
'Get knotted ... ' Scouting for Boys
Book Description
Knot Theory, a lively exposition of the mathematics of knotting, will appeal to a diverse audience of mathematical readers, from undergraduates to professionals. The author introduces tools from linear algebra and basic group theory and uses these to study the properties of knots, high-dimensional knot theory and the Conway, Jones and Kauffman polynomials.
Most Helpful Customer Reviews
This book is an excellent introduction to knot theory for the serious, motivated undergraduate students, beginning graduate students,mathematicains in other disciplines, or mathematically oriented scientists who want to learn some knot theory. Prequisites are a bare minimum: some linear algebra and a course in modern algebra should suffice, though a first geometrically oriented topology course (e. g., a course out of Armstrong, or Guillemin/Pollack) would be helpful. Many different aspects of knot theory are touched on, including some of the polynomial invariants, knot groups, Alexander polynomial and related abelian invariants, as well as some of the more geometric invariants. This book would serve as a nice complement to C. Adams "Knot Book" in that Livingston covers fewer topics, but goes into more mathematical detail. Livingston also includes many excellent exercises. Were an undergraduate to request that I do a reading course in knot theory with him/her, this would be one of the two books I'd use (Adam's book would be the other). This book is intentionally written at a more elementary level than, say Kaufmann (On Knots), Rolfsen (Knots and Links), Lickorish (Introduction to Knot Theory) or Burde-Zieshcang (Knots), and would be a good "stepping stone" to these classics.
I really do enjoy this book - but picked it up as a means of teaching myself Knot Theory... as was the case with many of my text books in college, brevity (for the sake of publishing costs) makes some concepts more of a challenge to grasp. Overall, the illustrations are great, and if you do the exercizes, the material tends to flow more easliy. It seemed to me the book worked backwards a bit - first covering a subject, than introducing it comprehensively later on - not what I'm used to.
Keep in mind, I'm not a Mathematician, merely a graduate student of mathematics, who is interested in learning about this subject on my own.
Livingston does a good job on basic knot theory in this text. While Adams seems to jump around a bit in his book, Livingston keeps a nice flow to his work. The proofs require another text and a good background in algebra to understand, but the problems are wonderful for a deeper understanding of the material.
The perfect book for undergraduates interested in learning knot theory without the algebraic topology prerequisites. This book is great as an introduction, and develops as much of the material as possible without the use of homology.
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Fall 2014
Basic Concepts of Math I
Course code: MA125-01 |
CRN: 42008 |
Credits: 3 |
Seats: 15 / 25
This course runs from August 25, 2014 to December 16, 2014 on MWF from 1:00 pm to 2:00 pm
This course is the first of a two-course sequence designed to introduce students to the basic structure of mathematics. Topics cover the structure of real numbers through a careful development of subsystems, to include the natural numbers, the whole numbers, integers, rational numbers and decimals, together with operations on them. Numeration systems including bases other than ten are discussed. The language and nature of deductive reasoning together with basic elements of set theory are introduced. Problem solving is emphasized. The sequence is appropriate for students preparing to teach at the elementary school level. Prerequisite: MA 095 or sufficient placement score. NOTE: Offered fall semesters only.
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Chapter 5 The Trigonometric Functions
5-1 Angles and Their Measures
5-2 Central Angles and Arcs
5-3 Circular Functions
5-4 Trigonometric Functions of Special Angles
5-5 Right Triangles
5-6 The Law of Sines
5-7 The Law of Cosines
5-8 Area of Triangles
** Put at beginning of Fourth Quarter **
Chapter 12 Sequences and Series
12-1 Arithmetic Sequences and Series
12-2 Geometric Sequences and Series
12-3 Infinite Sequences and Series
12-4 Convergent and Divergent Series
12-5 Sigma Notation and the nth Term
12-6 The Binomial Theorem
12-7 Special Sequences and Series
12-8 Mathematical Induction
Chapter 17 Limits, Derivatives, and Integrals
17-1 Limits
17-2 Derivatives and Differentiation Techniques
17-3 Area Under a Curve
17-4 Integration
17-5 The Fundamental Theorem of Calculus ** Most of the Fourth Quarter will be spent on chapter 17 with supplementary
materials **
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Video
The MathWorks interactive, video-based MATLAB? tutorial gets students up to speed in using MATLAB for homework and course projects.
MATLAB On-Ramp Tutorial (30 minutes)
Learn the basics of MATLAB in the context of using it as a powerful graphical calculator.
Tutorial 1 - Navigating the MATLAB Desktop (6:10)
Tutorial 2 - Using MATLAB as a Graphical Calculator (22:55)
Jake Blanchard teachs Master of Engineering in Professional Practice (MEPP), a course on engineering problem solving as part of an online Masters degree program. It is designed to help practicing engineers enhance technical and management skills. This course uses Microsoft Excel and Matlab to build problem solving skills suitable for engineers. This site provides links to pdfs and videos Submitted: Mar 04, 2009
This video demo gets you started with Simulink. It takes you through many key concepts in building and simulating a model. We will build up a model from scratch while taking you through a number of features of Simulink. Submitted: Apr 14, 2008
Topics covered in this course include: mathematical modeling of signals and systems; continuous and discrete signals, with applications to audio, images, video, communications, and control; state-based models, beginning with automata and evolving to LTI systems; and frequency domain models for signals and frequency response for systems, and sampling of continuous-time signals. A MATLAB-based laboratory is an integral part of the course.
Course material created by Professor Babak Ayazifar.
Matt Foster's video on new commands to replace selections with variables. Great for converting hacky scripts to permanent functions. Currently only works on one line. Could be extended if there's any call for it. Submitted: Mar 25, 2009
This video demonstration introduces Stateflow through a simple example of a logic controller that regulates the temperature of a plant. The demo also covers several key elements of Stateflow such as states, transitions, conditions and functions. Submitted: May 28, 2008
John Santiago (retired US Air Force, Ph.D.) and Professor of Electrical & Systems Engineering, Colorado Technical University, Colorado Springs, Colorado is presenting a series of engineering topics and tutorials. Please check this channel as it will be updated frequently. These videos are in pre-production and will be replaced with the final versions. More videos on these and other topics can be found at Submitted: Mar 27, 2009
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Volume 7, Number 33
19 August 2002 Vol. 7, No. 33
THE MATH FORUM INTERNET NEWS
The Math Forum's Problems of the Week Service
Activities & Information Supporting Pi Day Celebration - Morehouse
THE MATH FORUM'S PROBLEMS OF THE WEEK
Since posting our first Problem of the Week (PoW) in December
of 1993, one of our goals has been to engage students in
non-routine mathematics investigations while encouraging clear
mathematical communication. During the 2002-2003 school year,
we will offer these five problems:
Math Fundamentals Problem of the Week
For students working on problems in numbers, operations, and
measurement, as well as introductory geometry, data, and
probability.
Pre-Algebra Problem of the Week
For students learning algebraic reasoning, identifying and
applying patterns, ratio and proportion, and geometric ideas such
as similarity.
Algebra Problem of the Week
For students learning and exploring introductory algebra.
Geometry Problem of the Week
For students learning and exploring topics commonly covered in a
high school geometry course.
PreCalculus Problem of the Week
For students who have finished studying topics commonly covered in
first-year algebra and high school geometry. Problems may also
involve probability, statistics, discrete math, and trigonometry.
We will post new problems every two weeks, giving students
two weeks to submit their solutions. The first problem of the
year for Pre-Algebra and Geometry will be in preview on
Thursday, August 29. Students will be able to submit their
solutions starting Monday, September 2.
The first problem of the year for the Fundamental Math, Algebra, and
Precalculus problems will be in preview on Thursday, September 5.
Students will be able to submit their solutions starting
Monday, September 9.
Read more about our new rubric scoring and the problems that
we are offering:
\|/
LIBRARY OF PROBLEMS OF THE WEEK
The Math Forum's Library of Problems of the Week organizes
the archives of the services for browsing by mathematics
and story topic, rates problems for difficulty level, and
provides for searching by keyword.
PROBLEMS OF THE WEEK BOOK, VOLUME 1
Drawn from the 1999-2000 school year, the Problems of the
Week, Volume 1 book has a section for Elementary, Middle
School, Algebra, Geometry, Trig/Calculus, and Discrete Math
Problems of the Week.
Each section has:
- a table of contents with annotations
- twenty problems in print-ready format
- an answer key with URLs pointing to the full archived
answer on the Math Forum site.
Packaged in a three-hole binder with introductory pages, the
book is available for $20.00 plus $5.00 shipping and handling.
-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-
ACTIVITIES & INFORMATION SUPPORTING PI DAY CELEBRATION
by Carolyn M. Morehouse
Prepare to celebrate Pi Day with Carolyn M. Morehouse's
resources, hosted by the Math Forum's Teacher Exchange:
Pi Day: A Mathematical Celebration
Lesson plan for Pi Day activities.
Pi Day Songs
Use these songs as part of your Pi Day celebration.
The Pi Trivia Quiz || Answers
Use the trivia quiz as an activity for the classroom or as
a take-home assignment for the whole family.
Refreshments for Pi Day
Use this as a sign-up refreshment list for a Pi Day celebration.
\|/
TEACHER EXCHANGE
If you have a lesson idea that you would like to contribute
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Introduction to Statistics for AP Teacher
There are summer courses that are especially suited to AP statistics teachers who need to tune up their statistical skills. They are taught by Dave Bock, co-author of Stats: Modeling the World, a leading AP statistics text.
The course text is Bock, Velleman and De Veaux, Stats: Modeling the World, with ActivStats CD. You can purchase it directly from the publisher here. This text is among the top choices for AP Statistics. (Note: If you are a statistics instructor contemplating teaching with this book, you may wish to obtain the Instructor's edition, which you can find using the above Addison Wesley link). ActivStats is an award-winning multimedia statistics tutorial. It runs on PCs and Macs.
Important: To make sure you get the right textbook bundled with the right CD, we strongly recommend that you buy them as a package directly from the publisher at the above link, rather than from Amazon or a used book market.
Please order your text in time to have it in hand by the course starting date!
Those contemplating teaching AP statistics (or any high school statistics course) will probably want to use a graphing calculator. The textbook integrates instruction in using the TI-83 family of graphing calculators and provides brief tips on using SPSS, JMP, Minitab and the TI-89 graphing calculator.
Depending on prior experience with statistics, those planning to teach AP Statistics may feel a need to put in more hours than the 15 estimated in the course description, in order to be well prepared to teach this material.
What our students say:
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Calculus for Biology and Medicine - 2nd edition
This text addresses the needs of students in the biological sciences by teaching calculus in a biological context without reducing the course level. It is a calculus text, written so that a math professor without a biology background can teach from it successfully. New concepts are introduced in a three step manner. First, a biological example motivates the topic; second, the topic is then developed ...show morevia a simple mathematical example; and third the concept is tied to deeper biological examples. This allows students: to see why a concept is important; to understand how to use the concept computationally; to make sure that they can apply the concept. Features
Introduces students to exponential growth decay, sequences and population models.
Allows for earlier introduction of biological examples.
NEW--Statistics and probability chapter substantially enlarged.
Enables students to become better trained quantitively.
NEW--50-70% increase in problems in first 6 chapters (Calculus I).
Provides students with up-to-date problems that apply to their field.
NEW--Section on translating word problems into graphs.
Provides students with graphing and basic transformations of function information, as well as guidelines for translating word problems into graphs.
Calculus taught in the context of biology--Not watered down, as in many of the brief calculus versions.
Enables instructors without a biology background to use the text successfully. Enables students to acquire a firm foundation in calculus to apply calculus concepts to problems in the biological sciences.
Less emphasis on integration techniques and more coverage of differential equations and systems of differential equations.
Provides students with a discussion that includes both solution methods, and, to a larger extent, a qualitative discussion.
Examples worked out in step-by-step detail--Each subsection contains examples which increase in difficulty. The examples are completely worked out with a lot of detail on how one step follows from the previous--unlike in other calculus texts which often simply provide lengthy calculations without explanations.
A variety of problems after each section--The problems start out as drill problems. These are followed by increasingly harder, more conceptual problems. Finally, word problems tie the concepts into biology.
Formal Definition of the Derivative. The Power Rule, the Basic Rules of Differentiation, and the Derivatives of Polynomials. Product Rule and Quotient Rule. The Chain Rule and Higher Derivatives. Derivatives of Trigonometric Functions. Derivatives of Exponential Functions. Derivatives of Inverse and Logarithmic Functions. Approximation and Local Linearity. Key Terms. Review Problems.Fremont Fremont, CA60 +$3.99 s/h
VeryGood
E1J1 Orlando, FL
If applicable, online access, codes or supplements are not guaranteed to be included or work. Slight shelf wear. Pages are clean and binding is tight.
Possible retired library copy, some have markings or writing. May or may not include accessories such as CD or access codes.
$33.40 +$3.99 s/h
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Biblio Books Mississauga, ON
Newmarket, ON, Canada 2004 Hardcover 2nd Edition Fine Book The book is unread and clean. Edges are sharp and fine. No tears or creases. No stains, writing or reminder marks. The binding is straight ...show moreand tight. The book itself is in pristine condition. Large. 919 pages, 12 chapters with key terms and review problems for each chapter, lenghtly appendix includes answers to odd numbered problems, references and index. Original prise 122.95 $ ...show less
$34.69 +$3.99 s/h
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Biblio Books Mississauga, ON
USA 2004 Hardcover 2nd Edition Fine Book Edges are sharp and fine. Book is clean, bright and unmarked. No tears or creases. The binding is straight and tight. A very nice and heavy book, please, con...show moretact us for a postage quote before ordering. ...show less
$39.95 +$3.99 s/h
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Dorea Books Converse, IN
Outstanding book. Fast shipping. Thank you.
$56.00 +$3.99 s/h
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Biblio Books Mississauga, ON
Newmarket, ON, Canada 2003 Hardcover 2nd Edition As New Book The book looks like new, unread and clean. Edges are sharp and fine. No tears or creases. No stains, writing or reminder marks. The bindi...show moreng
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The math content on the disks were Algebra 1, Algebra 2, and Geometry. I practiced and mastered them all during my downtime after school. This attributed greatly to my understanding of mathematics today
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Beginning Algebra With Applications
9780618803590
ISBN:
0618803599
Pub Date: 2007 Publisher: Houghton Mifflin
Summary: Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students imm...ediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success."New!" "Interactive Exercises" appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles."New!" "Think About It" Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts."New!" "Important Points" have been highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and to study more efficiently."New!" A Concepts of Geometry section has been added to Chapter 1."New!" Coverage of operations on fractions has been changed in Section 1.3 so that multiplication and division of rational numbers are presented first, followed by addition and subtraction"New!" A Complex Numbers section has been added to Chapter 11, "Quadratic Equations.""New Media!" Two key components have been added to the technology package: HM Testing (powered by Diploma) and, as part of the Eduspace course management tool, HM Assess, an online diagnostic assessment tool.
Aufmann, Richard N. is the author of Beginning Algebra With Applications, published 2007 under ISBN 9780618803590 and 0618803599. One hundred twenty four Beginning Algebra With Applications textbooks are available for sale on ValoreBooks.com, fifty five used from the cheapest price of $7.60
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MTH461 Methods of Teaching Math
Course Description
A critical inquiry into present-day tendencies in teaching mathematics in order to help prospective mathematics teachers to acquire their professional skills in the teaching of mathematics in secondary school. Fundamental concepts of mathematics and effective approaches to their teaching will be discussed.
Learning Outcomes
Discuss math standards and the content of math programs for secondary school.
Apply diverse teaching techniques and encourage the learning process in the mathematics classroom.
Use modern technological tools for teaching and solving math problems.
Describe and rationalize a set of strategies for mathematical problem-generation.
Discuss the rules of effectiveness in mathematics study.
Investigate new resources for developing their professional and teaching skills.
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Written by experienced IB workshop leaders, this book covers all the course content and essential practice needed for success in the Calculus Option for Higher Level. Enabling a truly IB approach to mathematics, real-world context is thoroughly blended with mathematical applications, supporting deep understanding and confident thinking skills.
Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory... more...
What?s the point of calculating definite integrals since you can?t possibly do them all.What makes doing the specific integrals in this book of value aren?t the specific answers we?ll obtain, but rather the methods we?ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future.This book is written... more...
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Trigonometry Demystified [NOOK Book] ...
More About
This Book
With Trigonometry Demystified you master the subject one simple step at a time -- at your own speed. Unlike most books on trigonometry, this book uses prose and illustrations to describe the concepts where others leave you pondering abstract symbology. This unique self-teaching guide offers questions at the end of each chapter and section to pinpoint weaknesses, and a 100-question final exam to reinforce the entire book.
Simple enough for beginners but challenging enough for professional enrichment, Trigonometry Demystified is your direct route to learning or brushing up on trigonometry.
Related Subjects
Meet the Author
Stan Gibilisco is one of McGraw-Hill's most diverse and best-selling authors. His clear, friendly, easy-to-read writing style makes his electronics titles accessible to a wide audience and his background in mathematics and research make him an ideal handbook editor. He is the author of The TAB Encyclopedia of Electronics for Technicians and Hobbyists Teach Yourself Electricity and Electronics, and The Illustrated Dictionary of Electronics. Booklist named his book, The McGraw-Hill Encyclopedia of Personal Computing, one of the Best References of 30, 2014
Chapter 6 is the next result!
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Anonymous
Posted January 7, 2008
Out of the ordinary, and that's good!
This book presents trigonometry in rigorous way, but the emphasis is on the facts, without getting sidetracked in proofs. The drawings are relevant and clear. Trigonometry Demystified goes into subjects not found in most trigonometry textbooks. It also presents the unit circle model for sine and cosine that allows for angles greater than 90 degrees. The other books I've seen use ratios between the sides of right triangles, so you can't go past 90 degrees. There are some question-and-answer problems in the text, and plenty of multiple-choice test questions. One drawback: There isn't any practical information to go along with the material on hyperbolic functions. Also, the 4D 'hyperspace' stuff is cool, but it may be too esoteric for some readers. This book, combined with a standard school textbook, should make high-students proficient in this subject, and get them ready for more advanced courses such as calculus, analysis, and topology. It's also good for would-be engineers.
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Anonymous
Posted June 19, 2007
Disappointed
Mr. Gibilisco really let me down on this one. I was hoping for a good review of trig, but after a first good chapter on circular functions, we were into hyperbolic functions two chapters later! The book puts too much emphasis on the 'fringe areas.' It leaves one with the feeling 'Just where is the author going with this?' This book is outside the mainstream. Not recommended.
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Anonymous
Posted April 9, 2007
Poor explained subject matter.
I own all the algebra books in the Demystified series, and I like all of these books. But, when I purchased Geometry Demystified, Trigonometry Demystified, and Physics Demystified, I was very disappointed. Stan Gibilisco is the author of all three of these books. I find Mr. Gibilisco does not explain the subject matter well. I found my college textbooks easier to understand compared to these three books. I find his presentation style confusing! I was looking for books that could take difficult material, and making it easier for high school students to understand. If I had not taking these courses in college, and made good grades in each one of these courses, I would have been utterly lost reading his books.
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Anonymous
Posted December 20, 2003
Good for beginners
I am a math dummy. I bought this book at a local store because it looked like I could maybe understand it. I do. For the first time I feel like I know something about trigonometry. Too many math books are just professors showing each other how smart they are. This book taught me something without making me feel stupid. It's the only trig book I have ever seen like this.
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A collection of problems designed to help students in grades 6-12 learn new mathematical ideas by building on old ones. Varying in difficulty and approaches, these problems are useful for teachers, students, parents, math clubs, home-schoolers, and others. Problems are classified by topic, time required, suggested technology, required mathematical background, and habits of mind that students develop or use as they work. Synopses of the problems are keyword searchable. Answers and solutions are provided, and many problems include hints.
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Product Description
This educator's guide accompanies Developmental Math Level 7. It provides the answers to the student book, as well as information for the teacher on how each level fits into the overall program. Notes may include how lessons to one another, highlight important concepts, delineate lessons objectives, or feature additional elaboration for exercises. Student page numbers are referenced. Softcover
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Dolton SAT and expand problem solving skills (creatively and analytically) in order to solve word problems. Use manipulatives and calculators. Successful completion of this course prepares students for success in Algebra 1
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Essential Mathematics, CourseSmart eTextbook, 4th Edition
Description
The Support You Need to Succeed…Even On the Go!Table of Contents
1. Whole Numbers
1.1 Reading and Writing Whole Numbers
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Long Division
1.7 Rounding Whole Numbers
1.8 Exponents, Roots, and Order of Operations
1.9 Reading Pictographs, Bar Graphs, and Line Graphs
1.10 Solving Application Problems
2. Multiplying and Dividing Fractions
2.1 Basics of Fractions
2.2 Mixed Numbers
2.3 Factors
2.4 Writing a Fraction in Lowest Terms
2.5 Multiplying Fractions
2.6 Applications of Multiplication
2.7 Dividing Fractions
2.8 Multiplying and Dividing Mixed Numbers
3. Adding and Subtracting Fractions
3.1 Adding and Subtracting Like Fractions
3.2 Least Common Multiples
3.3 Adding and Subtracting Unlike Fractions
3.4 Adding and Subtracting Mixed Numbers
3.5 Order Relations and the Order of Operations
4. Decimals
4.1 Reading and Writing Decimal Numbers
4.2 Rounding Decimal Numbers
4.3 Adding and Subtracting Decimal Numbers
4.4 Multiplying Decimal Numbers
4.5 Dividing Decimal Numbers
4.6 Fractions and Decimals
5. Ratio and Proportion
5.1 Ratios
5.2 Rates
5.3 Proportions
5.4 Solving Proportions
5.5 Solving Application Problems with Proportions
6. Percent
6.1 Basics of Percent
6.2 Percents and Fractions
6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem
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This textbook for the basic lecture course of the same name deals with selected topics of multidimensional analysis. It is also an introduction to the theory of ordinary differential equations and the Fourier theory, of importance in the application of image processing and acoustics. more...
This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. It presents the necessary material on Fourier transformation and distribution theory, the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space,...An accessible and practical introduction to wavelets With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents... more...
This volume contains the latest results in the fields of quantum probability and infinite dimensional analysis. The contributions range from classical probability, 'pure' functional analysis and foundations of quantum mechanics to applications in mathematical physics, quantum information theory and modern mathematical finance. This diversity... more...
X and the City , a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through... more...
This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state. The authors were able to write an entirely self-contained text including many insights and examples, as well as providing complete details... more...
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Presents a treatment of Poisson geometry fulfilling a twofold purpose, offering both a quick, self-contained introduction to Poisson geometry and related subjects, and a comprehensive treatment of the normal form problem in Poisson geometry. This book covers topics including singular foliations, Lie groupoids and Lie algebroids. more...
This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and... more...
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Education has introduced ALEKS 360, a mathematics solution that combines an artificial intelligence and personalized learning program with a fully integrated, interactive e-book package. ALEKS 360 delivers assessments of students' math knowledge, guiding them in the selection of appropriate new study material, and recording their progress toward mastery of course goals. Through adaptive questioning, ALEKS accurately assesses a student's knowledge state and delivers targeted instruction on the exact topics a student is most ready to learn.
The e-books featured within ALEKS 360 are interactive versions of their physical counterparts, which offer virtual features such as highlighting and note-taking capabilities, as well as access to multimedia assets such as images, video, and homework exercises. E-books are accessible from ALEKS Student Accounts and the ALEKS Instructor Module for convenient, direct access.
The initial e-books to be offered in ALEKS 360 include: Introductory Algebra, Second Edition, by Julie Miller and Molly O'Neill; Intermediate Algebra, Second Edition, by Miller and O'Neill; College Precalculus, Second Edition, by John W. Coburn; and College Algebra, Second Edition, by Coburn.
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This is a set of materials developed at the National University of Singapore concerning the connections between mathematics...
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This is a set of materials developed at the National University of Singapore concerning the connections between mathematics and art and architecture. The author emphasizes that mathematics is not just about formulas and logic, but about patterns, symmetry, structure, shape and beauty. There are powerpoint tutorials, text and graphics descriptions, and a wealth of links to other valuable resources.
This is a subpage of the Maths Online collection of interactive material at the lower division college mathematics level....
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This is a subpage of the Maths Online collection of interactive material at the lower division college mathematics level. This gallery features a collection of over 50 learning units labeled as applets, graphics or other programs and arranged into more than 20 broad mathematical topics.
This site contains a collection of fully developed high school curriculum modules that use the Internet in significant ways. ...
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This site contains a collection of fully developed high school curriculum modules that use the Internet in significant ways. There are currently 15 modules in Mathematics and 6 modules in Science; also, there are approximately two dozen additional modules that have been created by instructors and/or Education students.The learning modules here are web-based, technology intensive lessons focusing on mathematics and science in an applied context. They have been developed for teachers, by teachers, aligned with the Illinois State Learning Standards and the National Council for Teachers of Mathematics (NCTM) Standards. Some of the lessons are designed to last over several days, some only for a class period.
The MSTE lessons site contains a collection of excellent high school/lower college division math lessons (and a limited...
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The MSTE lessons site contains a collection of excellent high school/lower college division math lessons (and a limited number of science lessons) that use the Internet in significant ways. The lessons have been developed with descriptions of the problem, connections to standards, examples of use, references, and more. Java source codes are often available. The Office for Mathematics, Science, and Technology Education (MSTE) is a division of the College of Education at the University of Illinois at Urbana-Champaign.
The goal of this study was to determine whether students' achievement in Calculus courses could be improved using the online...
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The goal of this study was to determine whether students' achievement in Calculus courses could be improved using the online assessment system WeBWorK, with or without interactive classroom support. Three instructional designs (C1, C2 and C3) were compared, all using lecture format classes and standard content, but with differences in assignment delivery: C1, paper; C2, WeBWorK with unlimited tries; C3 differed from C2 only because 20% of class time was spent with students working on assignments, interacting with the teacher and each other. There were no differences in student achievement, as measured by independent coding of student protocols, or motivation between C1 and C2. C3 students outperformed other students and exhibited more effort. The self-efficacy of all students decreased pre- to post-instruction with the exception of women in C3 classes. Importantly, the C3 design has now been adopted by a majority of instructors at the research site.
A java application that lets you investigate the problem of creating a phylgenetic tree. there is some explanation of the...
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A java application that lets you investigate the problem of creating a phylgenetic tree. there is some explanation of the problem of drawing phylogenetic trees and a couple of versions of the applet. The applets let you randomly generate trees and also let you infer a phylogenetic tree with a couple of different methods. Number of species, mutation rate and the method for calculating the distance matrix can all be varied.
With the role of the Internet rapidly increasing in higher education, teachers must search for ways to create meaningful...
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With the role of the Internet rapidly increasing in higher education, teachers must search for ways to create meaningful learning experiences for their students. The use of traditional discussion boards to facilitate collaborative problem solving in science and mathematics courses can be problematic with a tendency for discussions to stop once a perceived correct solution has been posted. This paper presents two alternative approaches to collaborative problem-solving that may be more appropriate in such cases. Both methods of facilitation can be called "shared-work" approaches in which students work privately before their work is shared with classmates. One approach, developed by Thomas Banchoff, is an individualized approach in which each student is responsible for constructing his or her own solutions to an assignment in a personal space that is shared with the entire class during a secondary phase. During the secondary phase, the students can add to and finalize their responses while having access to the work of others. A small-groups version of this approach was developed by the author to promote more student-to-student interactions by requiring the students to work in small groups during the second phase.
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An interactive workspace for graphing points, ordered pairs, lines, and planes. SPICE On-line modules are constructed with three separate but functionally linked
areas, Instructions/Lessons, Display/Work Space, and Assessment. Detailed directions are provided along with items to emphasize, questions to ask, and interesting sidelights and examples. Modules: Plotting Linear Equations; Orienteering. From the Colorado Alliance for Science (CAS) and aligned to the Colorado State Standards.
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Castle Rock, CO Math that mathematical concepts are logical, coherent and can be understood and that tools can be applied simply to arrive at answers to problems.
3. Teaching methods. Most math and physics teaching consists of instructors lecturing by working problems before a class of students
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Four Pillars of Geometry - 05 edition
Summary: This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style construction and axiomatics seem the best way to start, but linear algebra smooths the later stages by replacing some tortuous arguments by simple calculations. And how can one avoid projective geometry? It not only explains why objects look the way they do; it also explains why...show more geometry is entangled with algebra. Finally, one needs to know that there is not one geometry, but many, and transformation groups are the best way to distinguish between them. In this book, two chapters are devoted to each approach, the first being concrete and introductory, while the second is more abstract.
Geometry, of all subjects, should be about taking different viewpoints, and geometry is unique among mathematical disciplines in its ability to look different from different angles. Some students prefer to visualize, while others prefer to reason or to calculate. Geometry has something for everyone, and students will find themselves building on their strengths at times, and working to overcome weaknesses at other times. This book will be suitable for a second course in geometry and contains more than 100 figures and a large selection of exercises in each chapter. ...show less
Edition/Copyright:05 Cover: Hardback Publisher:Springer-Verlag New York Published: 08/09/2005
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This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group, universal covering surfaces, Riemannian manifolds, the Gauss-Bonnet Theorem, and the Riemann mapping theorem. The main idea is to get to some interesting mathematics without too much formality. The book also includes some material only tangentially related to surfaces, such as the Cauchy Rigidity Theorem, the Dehn Dissection Theorem, and the Banach-Tarski Theorem.
The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis.
Undergraduate students interested in geometry and topology of surfaces.
Reviews
"This highly readable book is an excellent introduction to the theory of surfaces, covering a wide variety of topics with references for further reading. Each chapter contains numerous exercises on the material to get the reader thinking about the subjects covered. There are also many diagrams to aid the reader in understanding the material."
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An integrated first-year curriculum in science, engineering and mathematics at Rose-Hulman Institute of Technology emphasizes the links between such subjects as calculus, physics, chemistry, computer science, and engineering graphics in a way that stresses interdisciplinary problem solving. Our new course is taught in a classroom in which each student is provided with a Mathematica-equipped NeXT workstation. This paper describes how traditional material in engineering graphics has been integrated with modern computational geometry in order to enhance the students' ability to solve three-dimensional spatial problems. Mathematica provides the link between the visual world or orthographic views and the abstract world of symbols and numbers that makes this integration possible.
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The worksheets at this site are created in PDF extension. To view and print PDF files, you need the Acrobat Reader. A review of the book of mathematicians by nationality the mathematics of gauss introduction cornell university extensionof book of mathematicians by nationality the mathematics of gauss introduction cornell university that get used to find the answer key of them. This thread created as complete review of book of mathematicians by nationality the mathematics of gauss introduction cornell university skills worksheet and pretest in mathematic
This Book of Mathematicians by nationality THE MATHEMATICS OF GAUSS Introduction ... Cornell University relevant to mathematicians by nationality vs ethnicity topic also mathematicians by nationality of last names topic or mathematicians by nationality area of interest along with mathematicians by nationality of bruno subject plus mathematicians by nationality of surnames subject with mathematicians by nationality of jesus topic and mathematicians by nationality definition area of interest along with topic, mathematicians by nationality of names area of interest along with discussion also mathematicians by nationality object plus mathematicians by nationality of colin object and mathematicians by nationality examples area of interest along with mathematicians by nationality of the name topic or mathematicians by nationality object, mathematicians by nationality.
Book Of Sampling Techniques Sampling Guide
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Summary: The Rockswold/Krieger algebra series uses relevant applications and visualization to show students why math matters and gives them a conceptual understanding. It answers the common question ''When will I ever use this?'' It covers the traditional topics, but rather than present them as concepts to memorize, with applications tacked on at the end, it teaches students the math in context. By seamlessly integrating meaningful applications that include real data, along with visual...show mores graphs, tables, charts, colors, and diagrams students are able to see how math impacts their lives as they learn the concepts. This conceptual understanding makes them better prepared for future math courses and life Beginning and Intermediate Algebra with Applications and Visualization:Acceptable
newrecycleabook centerville, OH
0321756517 -used book - book appears to be recovered - has some used book stickers - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front ...show moreor back ...show less
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Advanced Mathematical Concepts - 06 edition
Summary: Advanced Mathematical Concepts, 2006 provides comprehensive coverage of all the topics covered in a full-year Pre-calculus course. Its unique unit organization readily allows for semester courses in Trigonometry, Discrete Mathematics, Analytic Geometry, and Algebra and Elementary Functions. Pacing and Chapter Charts for Semester Courses are conveniently located in the Teacher Wraparound Edition.
Advanced Mathematical Concepts lessons develop mathematics us...show moreing numerous examples, real-world applications, and an engaging narrative. Graphs, diagrams, and illustrations are used throughout to help students visualize concepts. Directions clearly indicate which problems may require the use of a graphing calculator.
New Features: " A full-color design, a wide range of exercise sets, relevant special features, and an emphasis on graphing and technology invite your students to experience the excitement of understanding and applying higher-level mathematics skills. " Graphing calculator instructions is provided in the Graphing Calculator Appendix. Each Graphing Calculator Exploration provides a unique problem-solving situation. " SAT/ACT Preparation is a feature of the chapter end matter. The Glencoe Web site offers additional practice: amc.glencoe.com " Applications immediately engage your students; interest. Concepts are reinforced through a variety of examples and exercise sets that encourage students to write, read, practice, think logically, and review. " Calculus concepts and skills are integrated throughout the course. ...show less
Hardcover Good 00786822749.45 +$3.99 s/h
Good
Quality School Texts OH Coshocton, OH
2005-01-059.99
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Mathematics for Physical Chemistry
By
Robert Mortimer
Mathematics for Physical Chemistry, Third Edition, is the ideal text for students and physical chemists who want to sharpen their mathematics skills. It can help prepare the reader for an undergraduate course, serve as a supplementary text for use during a course, or serve as a reference for graduate students and practicing chemists. The text concentrates on applications instead of theory, and, although the emphasis is on physical chemistry, it can also be useful in general chemistry courses. The Third Edition includes new exercises in each chapter that provide practice in a technique immediately after discussion or example and encourage self-study. The first ten chapters are constructed around a sequence of mathematical topics, with a gradual progression into more advanced material. The final chapter discusses mathematical topics needed in the analysis of experimental data.
Reviews
"The text is a fairly easy read, well laid out, and laced with examples that serve to illustrate several concepts at once, thus obviating the necessity of hundreds more. The student will derive benefit from the clarity, and the professional from a concise compilation of techniques stressing application rather than theory. As such this book will be useful to a wide range of physical scientists and engineers, as well as the interested life scientist. My summary: Recommended." - John A. Wass, for SCIENTIFIC COMPUTING AND INSTRUMENTATION
Contents
Preface1. Numbers, Measurements, and Numerical Mathematics Numbers and Measurements Numerical Mathematical OperationsUnits of Measurement Numerical Calculations2. Symbolic Mathematics and Mathematical FunctionsAlgebraic Operations on Real Scalar VariablesTrigonometric FunctionsInverse Trigonometric FunctionsVectors and Coordinate SystemsImaginary and Complex NumbersProblem Solving and Symbolic Mathematics3. The Solution of Algebraic EquationsAlgebraic Methods for Solving One Equation with One UnknownGraphical Solution of EquationsNumerical Solution of Algebraic EquationsSimultaneous Equations: Two Equations with Two Unknowns4. Mathematical Functions and Differential CalculusMathematical FunctionsThe Tangent Line and the Derivative of a Function Differentials Some Useful Facts about DerivativesHigher-Order DerivativesMaximum-Minimum ProblemsLimiting Values of Functions: L'Hôpital's Rule5. Integral CalculusThe Antiderivative of a FunctionThe Process of IntegrationIndefinite Integrals: Tables of IntegralsImproper IntegralsMethods of IntegrationNumerical IntegrationProbability Distributions and Mean Values6. Mathematical Series and TransformsConstant Series Functional SeriesFourier SeriesMathematical Operations on SeriesIntegral Transforms7. Calculus with Several Independent VariablesFunctions of Several Independent VariablesChange of VariablesAdditional Useful Relations Between Partial DerivativesExact and Inexact DifferentialsLine IntegralsMultiple IntegralsVector Derivative OperatorsMaximum and Minimum Values of Functions of Several Variables 8. Differential EquationsDifferential Equations and Newton's Laws of Motion The Harmonic OscillatorDifferential Equations with Separable VariablesExact Differential EquationsSolution of Inexact Differential Equations by the Use of Integrating FactorsPartial Differential Equations: Waves in a StringSolution of Differential Equations with Laplace TransformsNumerical Solutions of Differential Equations9. Operators, Matrices, and Group TheoryOperators and Operator Algebra Symmetry OperatorsMatrix AlgebraMatrix Algebra with MathematicaAn Elementary Introduction to Group Theory10. The Solution of Simultaneous Algebraic EquationsSimultaneous Equations with More than Two Unknowns Cramer's RuleSolution by Matrix lnversionThe Use of Mathematica to Solve Simultaneous Equations11. The Treatment of Experimental DataExperimental Errors in Measured QuantitiesStatistical Treatment of Random ErrorsData Reduction and the Propagation of ErrorsGraphical and Numerical Data ReductionNumerical Curve Fitting: The Method of Least Squares (Regression)AppendixesA.Values of Physical ConstantsB. Some Mathematical Formulas and IdentitiesC. Infinite SeriesSeries with Constant TermsPower SeriesD. A Short Table of DerivativesE. A Short Table of Indefinite IntegralsF. A Short Table of Definite IntegralsG. Some Integrals with Exponentials in the Integrands: The Error FunctionIndex
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book contains 24 illustrated math problem sets based on a weekly series of space science problems. Each set of problems is contained on one page. The problems were created to be authentic glimpses of modern science and engineering issues, often...(View More) involving actual research data. Learners will use mathematics to explore problems that include basic scales and proportions, fractions, scientific notation, algebra, and geometry
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9780321848284 12/21Worksheets for Classroom or Lab Practice for Intermediate Algebra : Concepts and Applications
Summary
The Bittinger Concepts and Applications Programdelivers proven pedagogy, guiding you from skills-based math to the concepts-oriented math required for college courses. The new editions supports you with a tightly integrated MyMathLab course, quality applications and exercises, and a new MyMathGuideworkbook and video program. Teaching and Learning Experience To provide a better teaching and learning experience for both instructors and students, this program will: Improve Results:MyMathLab delivers proven results in helping you succeed and provides engaging experiences that personalize learning. Teach Conceptual Understanding:Proven pedagogy, robust exercise sets, and endof-chapter material are all geared towards ensuring you grasp the concepts. Guide Students' Learning:The new Bittinger video program and MyMathGuidework hand in hand to guide you to success.
Author Biography
Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
David Ellenbogen has taught math at the college level for nearly 30 years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has taught at St. Michael's College and The University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two Year Colleges (AMATYC) since 1985, having served on its Developmental Mathematics Committee and as a delegate. He has been a member of the Mathematical Association of America (MAA) since 1979. He has authored dozens of texts on topics ranging from prealgebra to calculus and has delivered lectures on the use of language in mathematics. Professor Ellenbogen received his bachelor's degree in mathematics from Bates College and his master's degree in community college mathematics education from The University of Massachusetts–Amherst. In his spare time, he enjoys playing piano, biking, hiking, skiing and volunteer work. He currently serves on the boards of the Vermont Sierra Club and the Vermont Bicycle Pedestrian Coalition. He has two sons, Monroe and Zachary.
Barbara Johnson has a BS in mathematics from Bob Jones University and a MS in math from Clemson University. She has taught high school and college math for 25 years, and enjoys the challenge of helping each student grow in appreciation for and understanding of mathematics. As a Purdue Master Gardener, she also enjoys helping others learn gardening skills. Believing that the best teacher is always learning, she recently earned a black belt in karate.
Table of Contents
1. Algebra and Problem Solving
1.1 Some Basics of Algebra
1.2 Operations and Properties of Real Numbers
1.3 Solving Equations
1.4 Introduction to Problem Solving
1.5 Formulas, Models, and Geometry
1.6 Properties of Exponents
1.7 Scientific Notation
2. Graphs, Functions, and Linear Equations
2.1 Graphs
2.2 Functions
2.3 Linear Functions: Slope, Graphs, and Models
2.4 Another Look at Linear Graphs
2.5 Equations of Lines and Modeling
2.6 The Algebra of Functions
3. Systems of Linear Equations and Problem Solving
3.1 Systems of Equations in Two Variables
3.2 Solving by Substitution or Elimination
3.3 Solving Applications: Systems of Two Equations
3.4 Systems of Equations in Three Variables
3.5 Solving Applications: Systems of Three Equations
3.6 Elimination Using Matrices
3.7 Determinants and Cramer's Rule
3.8 Business and Economics Applications
4. Inequalities and Problem Solving
4.1 Inequalities and Applications
4.2 Intersections, Unions, and Compound Inequalities
4.3 Absolute-Value Equations and Inequalities
4.4 Inequalities in Two Variables
4.5 Applications Using Linear Programming
5. Polynomials and Polynomial Functions
5.1 Introduction to Polynomials and Polynomial Functions
5.2 Multiplication of Polynomials
5.3 Common Factors and Factoring by Grouping
5.4 Factoring Trinomials
5.5 Factoring Perfect-Square Trinomials and Differences of Squares
5.6 Factoring Sums or Differences of Cubes
5.7 Factoring: A General Strategy
5.8 Applications of Polynomial Equations
6. Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions: Multiplying and Dividing
6.2 Rational Expressions and Functions: Adding and Subtracting
6.3 Complex Rational Expressions
6.4 Rational Equations
6.5 Solving Applications Using Rational Equations
6.6 Division of Polynomials
6.7 Synthetic Division and the Remainder Theorem
6.8 Formulas, Applications, and Variation
7. Exponents and Radicals
7.1 Radical Expressions and Functions
7.2 Rational Numbers as Exponents
7.3 Multiplying Radical Expressions
7.4 Dividing Radical Expressions
7.5 Expressions Containing Several Radical Terms
7.6 Solving Radical Equations
7.7 The Distance Formula, the Midpoint Formula, and Other Applications
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Algebra for College Students - 9th edition
Summary: Kaufmann and Schwitters have built this text's reputation on clear and concise exposition, numerous examples, and plentiful problem sets. This traditional text consistently reinforces the following common thread: learn a skill; practice the skill to help solve equations; and then apply what you have learned to solve application problems. This simple, straightforward approach has helped many students grasp and apply fundamental problem solving skills necessary for future mathematics c...show moreourses. Algebraic ideas are developed in a logical sequence, and in an easy-to-read manner, without excessive vocabulary and formalism. The open and uncluttered design helps keep students focused on the concepts while minimizing distractions. Problems and examples reference a broad range of topics, as well as career areas such as electronics, mechanics, and health, showing students that mathematics is part of everyday life2.3743 +$3.99 s/h
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Virginia Social Ventures VA Norfolk, VA
2010 Hardcover Books rated "Good" may have some notes, underlining, or highlighting. These books also may contain the previous owner's name, stamp, sticker, or gift inscription, or may be library di...show morescardspurple_whale_123 aurora, IL
0538733543 Item in good condition and ready to ship!
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HPB-Greenwood Greenwood, IN
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OverviewNote: This is the standalone book, if you want the book with the Access Card please order the ISBN below:
Editorial Reviews
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This textbook's practical focus and arsenal of interesting problems should put an end to the piteous question, "but, whyyyyy do we have to learn this stuff?," once and for all. Topics include statistical reasoning, exponential growth and decay, financial management, probability, mathematics in business, problem solving techniques, numbers in the real world, and the principles of reasoning. Background in algebra is assumed. Annotation c. by Book News, Inc., Portland, Or.
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1572225351","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":4.45,"ASIN":"1572225327","isPreorder":0},{"priceBreaksMAP":null,"buyingPrice":5.35,"ASIN":"1572229098","isPreorder":0}],"shippingId":"1572225351::FUxjpCC9u%2BEhM%2BARbXTSyPUQGK%2BO%2FiNrCO8PUQTJhuNPSBGgW3aDuuAAiE%2FmhZPXW4koItHy37HEEDU%2FEi5mDCFTg0%2Fy1CdgaIMpC6KpbPs%3D,1572225327::7ibHoF1D2kJkxqQKw36ZPNAqhQmbRLdSyd8XI6OsVSXiDVq5qDc708IoWIhsUCwJEkcRixi%2BnjjZxiGjo%2FjMjTZ4F3ABy9fgERqfmhMaWu4%3D,1572229098::aAUeOJx6zOCN71y4mvjatHMnxGh0LEogS0xntJmAHUGNzwts7gOk2SI3dbQH2Ib0m1F0AoQeM4ak0sshKAkn5E6Bcs8NccgabzTJJUB9PArXvYfDPD%2BpxAS I said in review of Part 1 of the Geometry Study Guide, plan on buying both Part 1 and Part 2 when you start out, since the organization of these guides seems somewhat mysterious. There are subjects in Part 2 that were covered very early on in Geometry class, and things in Part 1 that came very late in the year. If you have both sections, you can't go wrong, no matter what order a class takes.
There is a HUGE amount of information in theses guides, and it will take some study to learn where things are in the guide itself. Once that's done, though, you can practically throw away your textbook for the most part -- well, except for needing to know what homework problems to do! ;-) These guides are VERY complete and the information is really good and well presented -- BETTER than many textbooks.
Part 2 is definitely worth the money, especially in conjunction with Part 1. It's made the difference for my kid between a C and an A (really!) because it has really helped him with homework -- not having to page through the book, or search through the online book, has helped immeasurably. For me, there was enough there to re-awaken the nightmares of Geometry class long ago, and I could actually help him when he got stuck. THAT'S a great guide, hmm?
I tutor high school and college math and wanted a straightforward study guide to recommend for my students. I could not recommend this one.
Instead of simple formulas underlying the images, the theorems are written out and proven. I already know that, and so do my students. I just wanted images, say of intersecting chords in a circle and the relation of their intercepted arcs, and one formula to match. I didn't need the language nor the proof.
The double-sided tri-fold could have been a double-sided bifold if done more efficiently.
I ended up making my own study guide with images and formulas for my students, and it was 4 pages.
Bought a set for Algebra, Geometry, and Calculus. They are good to have around the home for your kids but there's nothing spectacular about them. And don't hold your breath for the "free downloads" advertised on them...they include highly sought-after titles like "Keys to High School Success," "Flag Day," & "Email Etiquette."
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Questions About This Book?
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
Summary
Now in its eighth edition, this text masterfully integrates skills, concepts, and activities to motivate learning. It emphasises the relevance of mathematics to help students learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and discover how to apply the content in the real world.
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Sequential blackline master activities
in the area of geometry and spatial mathematics. Covers the major learning areas
such as identifying different types of angles, using a protractor to measure
angles, using known rules to calculate the size of angles and construction of
angles using either a compass or a protractor. more...
Learn how to easily do quick mental math calculations Speed Math for Kids is your guide to becoming a math genius--even if you have struggled with math in the past. Believe it or not, you have the ability to perform lightning quick calculations that will astonish your friends, family, and teachers. You'll be able to master your multiplication tables... more...
Bob Miller's fail-safe methodology helps students grasp basic math and pre-algebra
All of the courses in the junior high, high school, and college mathematics curriculum require a thorough grounding in the fundamentals, principles, and techniques of basic math and pre-algebra, yet many students have difficulty grasping the necessary concepts.... more...
Everything you need to know to ace the math sections of the NEW SAT!
He's back! And this time Bob Miller is helping you tackle the math sections of the new and scarier SAT! Backed by his bestselling "Clueless" approach and appeal, Bob Miller's second edition of SAT Math for the Clueless once again features his renowned tips, techniques, and... more...
Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill Robertson's accurate but amusing Stop Faking It! best sellers. As Robertson sees it, too many people view mathematics as a set of rules to be followed, procedures to memorize, and theorems... more...
Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teach-and how both can become better learners. Dispatches as... more...
Teaching mathematics to a range of learners has always been challenging. With inclusion and RTI, effective teaching for struggling students is more important than ever. My Kids Can shares instructional that allows struggling learners to move toward grade-level competency by making mathematical thinking explicit, linking assessment and teaching, building... more...
A no-nonsense practical guide to geometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills.
About the Book
Established as a successful practical workbook series with more than 20 titles in the... more...
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About the book:
One of the most commonly asked questions in a mathematics classroom is, "Will I ever use this stuff in real life?" Some teachers can give a good, convincing answer; others hem and haw and stare at the floor. The real response to the question should be, "Yes, you will, because algebra gives you power" the power to help your children with their math homework, the power to manage your finances, the power to be successful in your career (especially if you have to manage the company budget). The list goes on.
Algebra is a system of mathematical symbols and rules that are universally understood, no matter what the spoken language. Algebra provides a clear, methodical process that can be followed from beginning to end to solve complex problems. There's no doubt that algebra can be easy to some while extremely challenging to others. For those of you who are challenged by working with numbers, Algebra I For Dummies can provide the help you need.
This easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems. But rest assured, this book is not about memorizing a bunch of meaningless steps; you find out the whys behind algebra to increase your understanding of how algebra works.
In Algebra I For Dummies, you'll discover the following topics and more:
All about numbers rational and irrational, variables, and positive and negative
Figuring out fractions and decimals
Explaining exponents and radicals
Solving linear and quadratic equations
Understanding formulas and solving story problems
Having fun with graphs
Top Ten lists on common algebraic errors, factoring tips, and divisibility rules.
No matter if you're 16 years old or 60 years old; no matter if you're learning algebra for the first time or need a quick refresher course; no matter if you're cramming for an algebra test, helping your kid with his or her homework, or coming up with next year's company budget, Algebra I For Dummies can give you the tools you need to succeed.
Softcover, ISBN 0764553259 Publisher: For Dummies, 2001 For Dummies. PAPERBACK. 0764553259 Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers! . New.
Softcover, ISBN 0764553259 Publisher: John Wiley & Sons, 2001 Usually dispatched within 1-2 business days, Unbeatable customer service, and we usually ship the same or next day. Over one million satisfied customers!
Softcover, ISBN 0764553259 Publisher: For Dummies764553259 Publisher: For Dummies, 2001 For Dummies. 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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Quoted from site: "Our site offers written projects for a course in discrete or finite mathematics with the projects...
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Quoted from site: "Our site offers written projects for a course in discrete or finite mathematics with the projects containing excerpts from primary sources for students to read along with a sequence of directed questions which illuminate how the source develops key mathematics ideas.״The site currently offers nearly 20 historically-based projects that are downloadable in pdf and other formats.
A large searchable database of integer sequences. The main purpose of this site is to allow researchers to discover if new...
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A large searchable database of integer sequences. The main purpose of this site is to allow researchers to discover if new sequences that they encounter have been previously studied. But, also, the site serves as an information repository for important, well-known sequences. For example, the page in this on-line encyclopedia for the Fibonacci sequence contains many comments, references, formulas and dozens of links to other on-line resources pertaining to Fibonacci and his famous sequence. Warning: If you input 1,1,2,3,5,8,13,21 into the search engine, it will retrieve more than thirty different sequences from the database. If you are looking specifically for the Fibonacci sequence, you could input more terms of the sequence, or you could do a word search. Each sequence is given an ID number on the site. The main entry for the Fibonacci sequence is # A000045'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete...
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'Taking discrete mathematics? Then you need the Wolfram Discrete Mathematics Course Assistant. This app for discrete math--from the world leader in math software--will help you work through your homework problems, ace your tests, and learn discrete math concepts. The Discrete Mathematics Course Assistant solves your specific discrete math problems on the fly, providing answers to a broad range of subjects. - Do function calculations like domain and range, image and preimage, and inverse and growth - Compute logic problems like minimal forms, implications, propositions, and bitwise operations - Calculate set functions like power set, basic set operations, complement, and Venn diagrams - Use the Number Theory section for division, modular arithmetic, prime numbers, special numbers, and integer functions - Do sequence computations like summation, product, and limit of a sequence - Compute permutation and combinatorics questions, including derangements and permutations of list or finite relations and Pascal's triangle - Use the discrete probability section for Bernoulli trial equations and view statistics on coin and dice probabilities or view various distribution given the probability of success - View information on basic, named, or custom graphs in our Graph Theory section'This app costs $4.99
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Summary
Designed for first-year developmental math students who need support in beginning algebra,Elementary Algebraowes its success to the hallmark features for which the Larson team is known: learning by example, accessible writing style, emphasis on visualization, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. The newStudent Support Editioncontinues the Larson tradition of guided learning by incorporating a comprehensive range of student success materials throughout the text. Additionally, instructors and students alike can track progress with HM Assess, a new online diagnostic assessment and remediation tool from Houghton Mifflin. New!An extensive student support section,Your Guide to Success in Algebra,contains all the tools the student needs to succeed in the course.Your Guide to Academic Successincludes a review of math study skills, learning styles, test-taking strategies, time management tips, unique study strategies, course progress tracker, and comprehensive guides to using the textbook and study aids effectively.Your Guide to the Chaptersincludes progress trackers that outline each chapter's topics and learning objectives, along with a checklist of all the study aids available for that chapter. New!Removable Study Cardsprovide students with convenient access to common formulas, algebraic properties, conversions, geometric formula study sheets, and more. These study cards enable students to refresh their knowledge quickly anytime, anywhere. New!HM Testing (Powered by Diploma)provides instructors with wide array of algorithmic test items, and improved functionality and ease of use, including the ability to author and edit algorithmic questions. New!EduspaceHoughton Mifflin's Online Learning Tool (powered by Blackboard), now includesenhanced algorithmic exerciseswhich are supported by anew math symbol palettefor inputtingfree-response answersand are closely correlated to the end of section/chapter exercises. It also includesHM Assess,a new online diagnostic assessment and remediation program that tests the student's understanding of core concepts and developsindividual study paths for self-remediation.
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Yarrow Point, WA Algebra playing volleyball on a team in junior high school. I played through high school. I play on the beach every so often and enjoy the sportIt is highly optimized for numeric computations. It allows one to perform numerical calculations much faster compared to programming languages like C, C++ and Java. We can visualize the results using graph plotting.
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I have been at the MichMATYC conference where we spent quite a bit of time talking about how similar the three models are — AMATYC New Life, Dana Center New Mathways, and Carnegie Pathways. Tomorrow, I go to the CBMS Forum on math in the first two years … where I will be doing a presentation involving all three models.
As part of that work, we have an updated chart showing how similar the 3 models are (and highlighting the differences). Take a look:
Another thing I am currently doing is updating the summary of New Life course implementations (Mathematical Literacy or Algebraic Literacy courses). I've got some more to include; a preliminary estimate is that there are currently about 500 sections of these courses offered. Some are 'pilots', but most are regular sections as part of the curriculum.
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What do students need before a 'beginning algebra' course? Several of us (math faculty at my college) are working on this problem, with a goal of helping more students make a good transition to algebra while being aware of other expectations or demands.
My college does not have a basic math class, having eliminated that quite a few years ago. There is still a prerequisite for the pre-algebra course (a placement test) though the cutoff is not very high, which means that one of the issues is students with extensive gaps in numeracy. Our pre-algebra course has these components:
variables and expressions used from the first chapter
signed numbers start next
solving first degree equations (some with simplifying first)
fractions
geometry (formulas primarily)
units and conversions (the only math course doing this, for most students)
percents and applications (tends to be uncomplicated)
One of the issues I see us dealing with is our own views on "what students should know". In our course, we designate the first part 'calculator free' because students "should know" their basic facts about numbers; the remainder of the course allows a calculator. We also expect students to use arithmetic procedures for fractions, though we do not check to see if they understand 'why'. We cover classic percent problems, because students "should know" these.
So, what essentials are needed to help students succeed in basic algebra? In some ways, the answer has been "do some basic algebra"; the last course revision integrated algebra throughout. We've looked at the data for the progression, and it is my opinion that the alumna of the newer course have similar struggles in basic algebra compared to the older course (with less algebra). One observation is that the students struggle with the expressions and first degree equations that they 'had' in the pre-algebra course, whether the algebra was integrated or covered separately.
Here is the basic need I would identify for success in basic algebra:
Students need a core of understanding about numbers and properties, and need a sound beginning on procedural flexibility.
The traditional percent material focuses on correct answers, often using memorized procedures. I would shift to questions about equivalence and multiple solution methods … because these are core issues in algebra. My class work and assessments would focus on creating as well as identifying alternate correct methods. The traditional geometry work in this course also tends to have a focus on correct answers (though we do not memorize formulas). I would instead deal with how parts of shapes relate to the whole, and concepts of perimeter/area/volume; the same focus on multiple solutions would be appropriate.
The numerical demands of a basic algebra course are quite limited; we are not going to solve a lifetime of numeracy problems in 15 weeks of a basic math course. A pre-algebra course gains little by making the attempt. A reasonable goal is to develop a significant set of understandings about numbers and objects, along with the flexibility that this understanding supports. Deliberate design, sophisticated pedagogy, and faculty expertise are required for this … just as is the case for most math courses that we should place in front of our students.
One of my colleagues used to say:
The student's fragile understanding of mathematics begins in the pre-algebra course.
We need to shift our focus. Without understanding, any math course becomes just a barrier to student success. Without understanding, math is that subject that everybody says they are bad at. With a focus on understanding, we offer an honest math course that can provide real benefits for students. With a focus on understanding, we demonstrate our commitment and respect towards all students … starting from the first day of our first math course.
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Our department is beginning conversations about a new algebra course, with the immediate goal of making it easier to offer a 'combo' class for both beginning and intermediate algebra. We might settle for that outcome, with a savings in credits for many students (from 8 credits down to 6 or 4). However, the possibilities are not very limited … one advantage of developmental mathematics being on the hot-seat is that those in the approval process are more open to new ideas.
So, here is a possible trade. We send two courses away (beginning algebra and intermediate algebra) and replace it with one course, for the same number of credits as one of those courses. We can dream big like this by being willing to consider radical reformulations of developmental mathematics, going in to territory not yet explored by pathways or mathways.
Trade away: Beginning Algebra and Intermediate Algebra (8 credits)
Receive: One developmental algebra course (4 credits?)
This might one way to get there … start with a set of outcomes from Algebraic Literacy, including the STEM-boosting outcomes, and incorporate a little just-in-time remediation work on basic algebra along with some increase in instructional time each week. The new course could omit quite a bit of the procedural work that is not that important, and focus instead on goals that are more accessible to a broader section of our population: reasoning and applying. These 'higher level' learning outcomes are more important for further mathematics as well as science. We might be able to put 30% more students in to this new course than we can with the existing intermediate algebra class.
This type of new course offers great promise for our students; of course, there are challenges for us. A core challenge: are we willing to give up existing content in this trade? We get so accustomed to teaching certain skills, these procedures, and those types of puzzle problems; hidden (usually) within this are some good mathematics and valuable learning outcomes. Getting a world-class course involves being willing to trade in old courses, being willing to let go, being willing to subtract content in a class.
In our situation, we want to expand our mathematical literacy course; this course would be appropriate for most of the students who did not place into the new algebra class, both in terms of prerequisites needed prior to the class as well as preparation for further mathematics. The Math Lit class gets students ready for a college statistics class and a college quantitative reasoning class.
I do not know how far we will take our current opportunity. I do know that my vision for a better mathematics program in college starts with Algebraic Literacy. Whether we make a big change, or smaller, we will be taking another step on this journey.
Have you started the journey away from the old algebra courses?
Note: For those going to the AMATYC conference in Nashville, I am doing a session specifically on Algebraic Literacy; this is session S064 (Friday — November 14, 8am).
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I've been thinking about my perceptions this semester. You see, for the first time in about 4 years, I am not teaching a 'reasoning' course — neither our Quantitative Reasoning course (Math119) nor our Math Lit course (Math105). Of course, I miss those classes. However, I am actually not aware of missing them on a daily basis. In fact, I am quite comfortable.
Which led me to the memory of a certain movie moment. Jedi-to-be Luke is angry with the Jedi master Obi Wan, after learning that Obi Wan did not tell him the truth.
Luke, you're going to find that many of the truths we cling to depend greatly on our own point of view.
Our point of view is primarily determined by our environment and attitude. My environment is more traditional this semester; symbolic manipulation and correct answers are high on the list of outcomes. Like most of us, my attitude when in this environment is impacted by the 'comfort' and 'familiar' feelings. I know this … I have competence … this is good.
As a profession, most of us have not yet had the opportunity to take a different point of view about mathematics education. The majority of math classes are traditional at this time; over the next 5 years, that will change. So … what comes first: a point of view that supports a reform curriculum, OR experience teaching a reform curriculum?
Like most philosophical questions, there is not a good answer for this question. However, I will suggest that some of us will need to support a reform curriculum before we have a point of view that is consistent with it. Understanding comes from experience, and understanding something as complex as the mathematics curriculum in college is a long process. Early in our New Life Project, some colleagues were suggesting that the best thing to do was to teach a lesson for instructors in the way a reform class would teach it; this would have been a waste of effort: those who do not yet understand why a class would be taught that way … would not understand what they are seeing.
Change just happens. Progress occurs when some of us are willing to walk a path we do not yet understand. In some ways, there is nothing more rewarding than beginning a journey without understanding and then finding both understanding and things of beauty along the way.
However you look at issues in developmental mathematics and college mathematics in general, do not let other people put you in a box that says 'inferior' or 'will not change'. I have faith in each of us, that we are able to become more than we have been. Our environment determines much about our point of view, and it's hard to move out of that causality loop. It takes courage; it takes some inspiration. I have been impressed by math faculty who have grown in this way.
Especially if you think that the traditional curriculum has much to offer, I hope you will join me on this journey to a better place … a place where we do more for our students, where students are enabled to reach their goals, a place where good mathematics shines in our classrooms. You are needed; we can not reach our goal without you.
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Algebra II Essentials For Dummies
Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
The Essentials For Dummies Series
D
Connect with Wiley Publicity
School is back in session and the nightly homework struggle has begun. And now that your child is in high school, your ability to help with her advanced math and science materials is as much a relic of the past as stuffed animals and bedtime stories. With college application time drawing ever closer, you're feeling more and more anxious about her academic future.
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ForDummies, the world's best-selling reference series, has an extensive list of academic titles and other resources, including its new series, The Essentials For Dummies,which serve as great supplements to textbooks. Now students who are prepping for exams, preparing to study new material, or who just need a refresher can have concise, easy-to-read guides and other resources to help them make the grade.
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53: Differential geometry
Differential geometry is the language of modern
physics as well as an area of mathematical delight. Typically, one
considers sets which are manifolds (that is, locally resemble Euclidean
space) and which come equipped with a measure of distances. In particular,
this includes classical studies of the curvature of curves and surfaces.
Local questions both apply and help study differential equations; global
questions often invoke algebraic topology.
Ricci, A Mathematica package for doing tensor calculations in differential geometry
GRG 3.2 is the computer algebra system designed for the calculations in differential geometry and field theory.
The Surface Evolver, an interactive program for the study of surfaces shaped by surface tension.
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Technical Shop Mathematics, 3rd Ed
Description
Completely revised and updated, the intent of this new edition is to provide students with the geometric and trigonometric concepts needed to solve problems commonly encountered in technical and trade occupations. Technical Shop Mathematics begins with arithmetic and then presents basic mathematical manipulations, geometry, elementary trigonometry, and graphing. Practical explanations, problem solving techniques, examples, and exercises are provided throughout; and emphasis is placed on applications making it an ideal resource for standard lecture courses or guided self-paced study.
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Basic Math Textbooks
Basic mathematics textbooks are introductory textbooks for the study of mathematics. A great resource for ground-level mathematic concepts like logic, arithmetic, statistics and probability, basic mathematics textbooks are essential for students developing key mathematic skills. Basic mathematics textbooks include lots of equations and exercises. Textbooks.com has the basic mathematics textbooks and advanced mathematics textbooks you need for your classes, at the very best prices.
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Targeting Maths Dictionary Mathematical Terms in Primary Schools is an essential guide to the mathematical language and concepts used in Australian Schools. Written with the young reader in mind, this...
Written to extend students of all abilities in Australia and New Zealand with each major topic thoroughly revised. Usually there is only one important idea or rule per page in order to provide clarity...
Further Notes with Casio® ClassPad is a comprehensive new study guide that is designed to enhance the skills and confidence of students studying VCE Further Mathematics Units 3 & 4 with an approved Ca...
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The Humongous Book of Statistics Problems [NOOK Book] ...
More About
This Book always on exams.
- With annotated notes and explanations of missing steps throughout, like no other statistics workbook on the market
- An award-winning former math teacher whose website (calculus-help.com) reaches thousands every month, providing exposure for all his books
Related Subjects
Meet the Author
W. Michael Kelley is a former award-winning calculus teacher and has written a bunch of books about math, including The Humongous Book math series and several titles in The Complete Idiot's Guide series. Mr. Kelley is praised for his ability to make intimidating math topics very approachable, even humorous. His dedication to helping students and adults alike conquer their fear of numbers is exemplified by the many honors he has received throughout his career, including an award from the Maryland Council of Teachers of Mathematics recognizing him as an Outstanding High School Mathematics Teacher and "Most Popular Teacher" in his home school. Mr. Kelley is also the founder and editor of calculus-help.com, which helps thousands of students every month conquer their math anxiety
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This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a …
Building on rudimentary knowledge of real analysis, point-set topology, and basic algebra, Basic Algebraic Topology provides plenty of material for a two-semester course in algebraic topology.
The book first introduces the necessary fundamental concepts, such as relative homotopy, fibrations and …
This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map. Henon map is one of the most studied examples in dynamical systems and it attracts a lot of attention from researchers, however it is difficult to analyze analytically. Simpler …
Ever since Lorensen and Cline published their paper on the Marching Cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. Isosurfaces: Geometry, Topology, and Algorithms represents the first …
Topology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in …
This well-illustrated book—in color throughout—presents a thorough introduction to the mathematics of Buckminster Fuller's invention of the geodesic dome, which paved the way for a flood of practical applications as diverse as weather forecasting and fish farms. The author explains the principles …
The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous ?
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DescriptionThis outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises.
The two-part approach begins with the development of the primary concept of analytic function, advancing to the Cauchy integral theory, the series development of analytic functions through evaluation of integrals by residues, and some elementary applications of harmonic functions. The second part introduces some of the deeper aspects of complex function theory: mapping properties of analytic functions, applications to various vector field problems with boundary conditions, and a collection of further theoretical results.
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Orting CalAlgebra is built upon a sound understanding of the fundamental rules and operations of arithmetic. If you have learned to apply these in Algebra 1 and learned the following rules and operations in Algebra 1, and then you use these with ease, you will greatly accelerate your ability in Algebra 2....
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Just the critical concepts you need to score high in geometry This practical, friendly guide focuses on critical concepts taught in a typical geometry course, from the properties of triangles, parallelograms, circles, and cylinders, to the skills and strategies you need to write geometry proofs. Geometry Essentials For Dummies is perfect for crammingIn Blood Song , Anthony Ryan introduced readers to ?a fascinating world of conflicting religions and the wars fought in the name of those faiths? ( Library Journal ). Now Ryan?s epic tale continues as Vaelin Al Sorna discovers that there is no escape from the call of destiny?
?The blood-song rose with an unexpected tune, a warm hum mingling... more...
You?ve met Ben Shaw. Now meet Braydon Kincaid, the devil-may-care male model who nearly stole the show in Working It by New York Times bestselling author Kendall Ryan. As one of the world?s most sought-after male models, Braydon is no stranger to the finer pleasures in life. The last thing he wants to do is limit himself, especially when it comes... more...
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Algebra 1
9780078651137
ISBN:
0078651131
Pub Date: 2005 Publisher: Glencoe/McGraw-Hill School Pub Co
Summary: A flexible program with the solid content students need "Glencoe Algebra 1" strengthens student understanding and provides the tools students need to succeed--from the first day your students begin to learn the vocabulary of algebra until the day they take final exams and standardized tests.
Holliday, Berchie is the author of Algebra 1, published 2005 under ISBN 9780078651137 and 0078651131. Eight hundred th...irty four Algebra 1 textbooks are available for sale on ValoreBooks.com, seven hundred seventy three used from the cheapest price of $3.81, or buy new starting at $45
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Algebra 1 is a transition from working with numbers to applying abstract mathematical concepts. Many students begin to have problems in pre-algebra. In my experience, those who do, have many gaps from previous years
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The growth of sea ice - mathematical modelling of the growth of first year sea ice, with particular attention paid to the ice/ocean boundary, where turbulent flow and billows of frazil ice crystals complicate the picture. (Note: A background in differential equations and numerical methods would be useful).
Annealing steel coils - the radial transport of heat through layers of steel and hot gas is a limiting factor in factory furnaces, and a better mathematical understanding is needed. (Note: A background in differential equations and numerical methods would be useful).
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From differentiation to integration - solve problems with ease Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or, worse yet, not know where to begin? Have no fear! This hands-on guide focuses on ...
$31.95
Australasian Business Statistics, 3rd edition approaches Business Statistics in a way that engages and empowers students, catering for their diverse learning styles. Through local, real world, practical activities, students gain the ability to ...
ISBN: 9780730302223
Binding: Paperback
$154.95
A comprehensive overview of the internationalisation of correspondence analysis Correspondence Analysis: Theory, Practice and New Strategies examines the key issues of correspondence analysis, and discusses the new advances that have been made ...
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This book is the first subject-specific study guide for mathematics students (interpreted broadly to mean those who are studying for single- or joint-honours degrees). It includes practical information on managing oneself as a student but, unlike ...
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Dig deep into the data with a hands-on guide to machine learning Machine Learning: Hands-On for Developers and Technical Professionals provides hands-on instruction and fully-coded working examples for the most common machine learning techniques ...
ISBN: 9781118889060
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Explore classic and cutting-edge statistical tools used in conducting diverse research in the behavioral and social sciences Inspired by the multifaceted Encyclopedia of Statistical Sciences, Second Edition, this book provides a concise, ...
ISBN: 9780470405079
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From the financial crisis to ecological disasters, we routinely fail to foresee hugely significant events, often at great cost to society. The rise of 'big data' has the potential to help us predict the future, yet much of it is misleading and ...
ISBN: 9780141975658
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Where did I come from? Why do I have two arms but just one head? How is my left leg the same size as my right one? Why are the fingerprints of identical twins not identical? How did my brain learn to learn? Why must I die? Questions like these ...
ISBN: 9780199673537
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Maths Quest 9 Maths Quest 9 for the Australian Curriculum provides students with essential mathematical skills and knowledge through the content strands of Number and Algebra, Measurement and Geometry, and Statistics and Probability.
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131.4b and 4c exam LP 071108 ...ine segment on a Cartesian grid. (DOK 2 - Algebra I, 4.b) 3. TSW apply the Pythagorean theorem to find the hypotenuse, a missing side length, or to determine whether or not a triangle is a right triangle. (DOK 3 - Algebra I, 4.b) 4. TSW solve problems for area and perimeter using simple and complex polynomials. (DOK 3 - Algebra I, 4.c) B. MATERIALS Four (4) Exams Do Now: [5 minutes] Clear your desks of everything except for: Calculator Pencil (or pen) Booklets Spare paper C. SET When Reggie Bush walks on the field at the Super Dome in New Orleans, what do you think is going through his head? This is your chance to...
User Rating:
Grade Level: K-12
132.Walk the Plank ...Approximate and interpret rates of change from graphical and numerical data. 2. Analyze functions of one variable by investigating rates of change, intercepts, zeros, asymptotes, and local and global behavior. 3. Understand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions. 1. Model and solve contextualized problems using various representations, such as graphs, tables, and equations. 2. Use graphs to analyze the nature of changes in quantities in linear relationships. Procedure: To prepare for this lesson, draw a line on a sturdy...
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Grade Level: K-12
133.Seeing Music ...al harmony and dissonance. Time Required: 2 periods Materials: Graphing Calculators Electronic Keyboard or Piano Pre-Activity and Summary Questions Seeing Music Activity Sheet Skills/Knowledge Gained by Learners: # nderstand and compare the properties of classes of functions, including exponential, polynomial, rational, logarithmic, and periodic functions. # Use symbolic algebra to represent and explain mathematical relationships. # Draw reasonable conclusions about a situation being modeled. Procedure: Begin the lesson by having students answer the pre-activity questions that appear on the Pre-Activity and Summar...
137.Quadratics intro and factoring 071608 ...e going to learn how to distinguish between quadratic equations and non-quadratic equations and you will learn how to solve them using factoring. D. PROCEDURE 1. TTW give examples and non-examples, showing the same format as the factoring lessons (standard form). [5 minutes] 2. TSW practice putting polynomial equations into standard form. [10 minutes] 3. TTW introduce the three types of quadratic equations. [5 minutes] 4. TTW model how to solve type I quadratic equations (*stressing that there are two solutions). [2 minutes] 5. TSW practice solving type I quadratic equations. [4 minutes] 6. TTW model how to solve...
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Grade Level: K-12
138.Factoring Snowflake Method 071508 Justin Sealand Algebra I 7/15/08 Period 2 50 minutes A. OBJECTIVE 1. TSW use the "snowflake" method to factor polynomials. (DOK 2 - Algebra I, 2.h) B. MATERIALS Overhead Projector; Transparencies; Algebra I, Foster et al. Do Now: [5 minutes] What is the single most difficult part about factoring for you? C. SET How many of you all cook at home? If you don't cook, have you ever watched your mom do it? Have you realized that you...
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Grade Level: K-12
139.Systems of Linear Equations 071408 ...slope-intercept form? You can graph it. That graph contains all of your answers to what x and y equal. Today we are going to learn how to solve linear equations using graphical and algebraic methods, and whether or not they even have a solution and how many they have. But before we can move on from polynomials and area and perimeter, we have to go over a few last things. D. PROCEDURE 1. TTW hand back all the tests and other grades that have not yet been returned. TTW explain the grading procedure for select questions from Friday's exam, and explain to the students what the teacher wants to see in a full, correct a...
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Grade Level: K-12
140.review distance and midpoint ...CTIVES The students will review the Distance and Midpoint formulas and the pythagorean theorem (DOK 2, Algebra 1, 4.b) MATERIALS pencil and paper dry erase markers transparencies and wet erase markers overhead Do Now- problems involving exponent operations. Set- Hello class, last class we went over polynomial models with Mr. Sealand. This class were going to review some concepts from earlier on in the week. These will include exponents and radicals, Distance formula, Midpoint formula and Pythagorean theorem. We're going to review for the test next period so it would be wise to pay attention. Procedure: A. The stud...
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Essentials of Using and Understanding Mathematics A Quantitative Reasoning Approach
9780201793871
0201793873
Summary: 1. Thinking Critically. Recognizing Fallacies. Propositions and Truth Values. Sets and Venn Diagrams. Critical Thinking in Everyday Life. 2. Approaches to Problem Solving. The Problem Solving Power of Units. Standardization Units: More Problem Solving Power. Problem Solving Guidelines and Hints. 3. Numbers in the Real World. Uses and Abuses of Percentages. Putting Numbers in Perspective. Dealing with Uncertainty. How... Numbers Deceive: Polygraphs, Mammograms, and More. 4. Financial Management. The Power of Compounding. Savings Plans. Loan Payments, Credit Cards, and Mortgages. 5. Statistical Reasoning. Fundamentals of Statistics. Should You Believe a Statistical Study? Statistical Tables and Graphs. Graphics in the Media. Correlation and Causality. Characterizing a Data Distribution. 6. Probability: Living with the Odds. Fundamentals of Probability. Combining Probabilities. The Law of Large Numbers. Counting and Probability. 7. Exponential Astonishment. Growth: Linear vs. Exponential. Doubling Time and Half-Life. Exponential Modeling. 8. Mathematics and the Arts. Mathematics and Music. Perspective and Symmetry. Proportions and the Golden Ratio. 9. Mathematics and Politics. Voting: Does the Majority Always Rule? Apportionment: The House of Representatives and Beyond.
Bennett, Jeffrey O. is the author of Essentials of Using and Understanding Mathematics A Quantitative Reasoning Approach, published 2002 under ISBN 9780201793871 and 0201793873. Twenty five Essentials of Using and Understanding Mathematics A Quantitative Reasoning Approach textbooks are available for sale on ValoreBooks.com, twenty two used from the cheapest price of $0.21, or buy new starting at $998
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9780201726343
ISBN:
0201726343
Edition: 5 Pub Date: 2003 Publisher: Pearson
Summary: This text is organised into 4 main parts - discrete mathematics, graph theory, modern algebra and combinatorics (flexible modular structuring). It includes a large variety of elementary problems allowing students to establish skills as they practice.
Ralph P. Grimaldi is the author of Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition, published 2003 under ISBN 9780201726343 and 0...201726343. Six hundred three Discrete and Combinatorial Mathematics: An Applied Introduction, Fifth Edition textbooks are available for sale on ValoreBooks.com, sixty three used from the cheapest price of $87.31, or buy new starting at $176
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122.66
Buy New Textbook
This is a hard-to-find title. We are making every effort to obtain this item, but do not guarantee stock.
Summary
For freshman-level, one- or two- semester courses in Developmental Algebra. The Angel Series continues to offer proven pedagogy sound exercise sets and superior student support. An emphasis on the practical applications of algebra motivates students and encourages them to see algebra as an important part of their daily lives. The student-friendly writing style uses short, clear sentences and easy-to-understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving, incorporating it as a theme throughout the texts. Angel's solid exercise sets are recognized by reviewers as of the highest standard providing a large number of problems, paired exercises, and a broad and increasing range of difficulty.
Table of Contents
Preface
xi
To the Student
xxiv
Basic Concepts
1
(65)
Study Skills for Success in Mathematics, and Using a Calculator
2
(4)
Sets and Other Basic Concepts
6
(12)
Properties of and Operations with Real Numbers
18
(11)
Order of Operations
29
(13)
Exponents
42
(10)
Scientific Notation
52
(14)
Chapter Summary
60
(2)
Chapter Review Exercises
62
(2)
Chapter Practice Test
64
(2)
Equations and Inequalities
66
(81)
Solving Linear Equations
67
(12)
Problem Solving and Using Formulas
79
(11)
Applications of Algebra
90
(14)
Additional Application Problems
104
(11)
Solving Linear Inequalities
115
(14)
Solving Equations and Inequalities Containing Absolute Values
129
(18)
Chapter Summary
140
(1)
Chapter Review Exercises
141
(3)
Chapter Practice Test
144
(1)
Cumulative Review Test
145
(2)
Graphs and Functions
147
(89)
Graphs
148
(15)
Functions
163
(16)
Linear Functions: Graphs and Applications
179
(12)
The Slope-Intercept Form of a Linear Equation
191
(14)
The Point-Slope Form of a Linear Equation
205
(10)
The Algebra of Functions
215
(9)
Graphing Linear Inequalities
224
(12)
Chapter Summary
228
(1)
Chapter Review Exercises
229
(4)
Chapter Practice Test
233
(1)
Cumulative Review Test
234
(2)
Systems of Equations and Inequalities
236
(63)
Solving Systems of Linear Equations in Two Variables
237
(12)
Solving Systems of Linear Equations in Three Variables
249
(7)
Systems of Linear Equations: Applications and Problem Solving
256
(14)
Solving Systems of Equations Using Matrices
270
(9)
Solving Systems of Equations Using Determinants and Cramer's Rule
279
(8)
Solving Systems of Linear Inequalities
287
(12)
Chapter Summary
292
(2)
Chapter Review Exercises
294
(2)
Chapter Practice Test
296
(1)
Cumulative Review Test
297
(2)
Polynomials and Polynomial Functions
299
(86)
Addition and Subtraction of Polynomials
300
(11)
Multiplication of Polynomials
311
(10)
Division of Polynomials and Synthetic Division
321
(11)
Factoring a Monomial from a Polynomial and Factoring by Grouping
332
(8)
Factoring Trinomials
340
(11)
Special Factoring Formulas
351
(8)
A General Review of Factoring
359
(5)
Polynomial Equations
364
(21)
Chapter Summary
377
(1)
Chapter Review Exercises
378
(5)
Chapter Practice Test
383
(1)
Cumulative Review Test
384
(1)
Rational Expressions and Equations
385
(69)
The Domains of Rational Functions and Multiplication and Division of Rational Expressions
386
(10)
Addition and Subtraction of Rational Expressions
396
(12)
Complex Fractions
408
(6)
Solving Rational Equations
414
(13)
Rational Equations: Applications and Problem Solving
427
(11)
Variation
438
(16)
Chapter Summary
447
(1)
Chapter Review Exercises
448
(3)
Chapter Practice Test
451
(1)
Cumulative Review Test
452
(2)
Roots, Radicals, and Complex Numbers
454
(71)
Roots and Radicals
455
(9)
Rational Exponents
464
(9)
Simplifying Radicals
473
(8)
Adding, Subtracting, and Multiplying Radicals
481
(7)
Dividing Radicals
488
(9)
Solving Radical Equations
497
(12)
Complex Numbers
509
(16)
Chapter Summary
518
(1)
Chapter Review Exercises
519
(4)
Chapter Practice Test
523
(1)
Cumulative Review Test
524
(1)
Quadratic Functions
525
(78)
Solving Quadratic Equations by Completing the Square
526
(10)
Solving Quadratic Equations by the Quadratic Formula
536
(13)
Quadratic Equations: Applications and Problem Solving
549
(10)
Writing Equations in Quadratic Form
559
(7)
Graphing Quadratic Functions
566
(19)
Quadratic and Other Inequalities in One Variable
585
(18)
Chapter Summary
596
(1)
Chapter Review Exercises
596
(4)
Chapter Practice Test
600
(1)
Cumulative Review Test
601
(2)
Exponential and Logarithmic Functions
603
(68)
Composite and Inverse Functions
604
(12)
Exponential Functions
616
(10)
Logarithmic Functions
626
(7)
Properties of Logarithms
633
(6)
Common Logarithms
639
(7)
Exponential and Logarithmic Equations
646
(6)
Natural Exponential and Natural Logarithmic Functions
652
(19)
Chapter Summary
664
(1)
Chapter Review Exercises
665
(3)
Chapter Practice Test
668
(1)
Cumulative Review Test
669
(2)
Conic Sections
671
(41)
The Parabola and the Circle
672
(11)
The Ellipse
683
(7)
The Hyperbola
690
(8)
Nonlinear Systems of Equations and Their Applications
698
(14)
Chapter Summary
707
(1)
Chapter Review Exercises
708
(2)
Chapter Practice Test
710
(1)
Cumulative Review Test
710
(2)
Sequences, Series, and the Binomial Theorem
712
(39)
Sequences and Series
713
(8)
Arithmetic Sequences and Series
721
(7)
Geometric Sequences and Series
728
(12)
The Binomial Theorem
740
(11)
Chapter Summary
745
(1)
Chapter Review Exercises
746
(3)
Chapter Practice Test
749
(1)
Cumulative Review Test
749
(2)
Appendix Geometric Formulas
751
Answers
1
(1)
Index
1
(1)
Photo Credits
1
Excerpts
This book was written for college students who have successfully completed a first course in elementary algebra. My primary goal was to write a book that students can read, understand, and enjoy. To achieve this goal I have used short sentences, clear explanations, and many detailed, worked-out examples. I have tried to make the book relevant to college students by using practical applications of algebra throughout the text. Features of the Text Full-Color Format.Color is used pedagogically in the following ways: Important definitions and procedures are color screened. Color screening or color type is used to make other important items stand out. Artwork is enhanced and clarified with use of multiple colors. The full-color format allows for easy identification of important features by students. The full-color format makes the text more appealing and interesting to students. Readability.One of the most important features of the text is its readability. The book is very readable, even for those with weak reading skills. Short, clear sentences are used and more easily recognized, and easy-to-understand language is used whenever possible. Accuracy.Accuracy in a mathematics text is essential. To ensure accuracy in this book, mathematicians from around the country have read the pages carefully for typographical errors and have checked all the answers. Connections.Many of our students do not thoroughly grasp new concepts the first time they are presented. In this text, we encourage students to make connections. That is, we introduce a concept, then later in the text briefly reintroduce it and build upon it. Often an important concept is used in many sections of the text. Students are reminded where the material was seen before, or where it will be used again. This also serves to emphasize the importance of the concept. Important concepts are also reinforced throughout the text in the Cumulative Review Exercises and Cumulative Review Tests. Chapter Opening Application.Each chapter begins with a real-life application related to the material covered in the chapter. By the time students complete the chapter, they should have the knowledge to work the problem. A Look Ahead.This feature at the beginning of each chapter gives students a preview of the chapter. This feature also indicates where this material will be used again in other chapters of the book. This material helps students see the connections between various topics in the book and the connection to real-world situations. The Use of Icons.At the beginning of each chapter and of each section, a variety of icons are illustrated. These icons are provided to tell students where they may be able to get extra help if needed. There are icons for theStudent's Solution Manual;theStudent's Study Guide;CDs and videotapes; Math Pro 4/5 Software;thePrentice Hall Tutor Center;and theAngel Website.Each of these items will be discussed shortly. Keyed Section Objectives.Each section opens with a list of skills that the student should learn in that section. The objectives are then keyed to the appropriate portions of the sections with red numbers such as 1. Problem Solving.George Polya's five-step problem-solving procedure is discussed in Section 1.2. Throughout the book problem solving and Polya's problem-solving procedure are emphasized. Practical Applications.Practical applications of algebra are stressed throughout the text. Students need to learn how to translate application problems into algebraic symbols. The problem-solving approach used throughout this text gives students ample practice in setting up and solving application problems. The use of practical applications motivates students. Detailed; Worked-Out Examples.A wealth of examples have been worked o
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calculus
calculus
Field of mathematics that analyzes aspects of change in processes or systems that can be modeled by functions. Through its two primary tools—the derivative and the integral—it allows precise calculation of rates of change and of the total amount of change in such a system. The derivative and the integral grew out of the idea of a limit, the logical extension of the concept of a function over smaller and smaller intervals. The relationship between differential calculus and integral calculus, known as the fundamental theorem of calculus, was discovered in the late 17th century independently by Isaac Newton and Gottfried Wilhelm Leibniz. Calculus was one of the major scientific breakthroughs of the modern era.
This entry comes from Encyclopædia Britannica Concise. For the full entry on calculus, visit Britannica.com.
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If you're confident about it then you should go ahead, algebra/precalculus is too boring anyway.]]>]]> you so much ShivamS and Bob Bundy.]]> is an easy to use, free and powerful online graphing calculator.]]> that I haven't been following this thread until now. Let's see if I've got this right:
You're in the UK and about to start A levels ?
What book(s) do your school / college use ?
What exam board ?
Is there a library nearby ? If you ask them to 'order' you a book they'll search around other libraries in the locality, track it down and get it for you (no cost). Then all you have to do is read it in three weeks
]]> think I asked this before but does anyone know a website or software I can use to graph functions? I want to experiment a lot with this precalculus before I go any further.]]> copy of: Basic Mathematics - Serge Lang Geometry - Serge Lang
should arrive within 2 weeks. I'll probably go through them quickly and be done by mid - end of June. If I'm still passionate in the summer I'll finish the other buy and finish the other two. After that I'll either try move on to Spivak or revise all the basics. I need to have near mastery of everything upto the end of the 6th form curriculum because I plan to take the STEP exam next year. They cover pure mathematics, mechanics, and statistics.
]]> definitely. They will actually be more than the bare minimum you need.]]> wrote:
Ah.
I should have more money for books later. Will those books you recommended suffice as enough mathematics education before a degree though?
]]>]]> wrote:
How are you doing with it?
I haven't been on for a while. I'm just going through geometry. I never did much of it. I am covering geometry and trigonometry together but not from the same book. I have been covering polygons, circle theoroms, trig ratios sin + cos rule, vectors etc. Once I am used to basic geometry and trig then going to check coordinate geometry. I'm rushing through at the moment but I plan to loop back on the material and go through harder questions. The questions I'm doing are generally easy and are just there to learn how to apply the rules properly. When I loop back on the material I'll hopefully cover questions like these and AMC ones.
I haven't actually been using the books you recommended because I'm really tight on money right now. So I'm just using the subpar books from the library even if they don't give me a great understanding. Basic understanding is better than none for now.
]]> are you doing with it?]]>
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7th Grade Math—Semester B
Expressions and equations have their place in math, and that place is not here. In this Common Core-aligned course, we'll step back from headache-inducing variables and lines to doodle shapes and add numbers. And no, we aren't kidding.
We'll start in the 2D plane and work our way through quadrilaterals, over triangles, and around circles. After that, we'll learn about nets, cross-sections, and the other mathematical wonders of the 3D world. Finally, we'll crunch some numbers with statistics and probability—but there's no reason to worry. Well, no statistically valid reason.
We've got activities, quizzes, problems, and more that cover:
using facts about 2D geometry to calculate angle measures, perimeters, and areas.
Course Breakdown
Unit 7. 2D Geometry
In this unit, you'll learn how to see the world around you in a totally different way. (No, not upside down. Now get off of there.) Geometry will help you describe shapes, calculate side lengths, find congruent angles, and manipulate formulas for our own personal gain. And let's be real: who doesn't love using just about anything for their own personal gain?
$add to cartremove
Unit 8. 3D Geometry
We will enter a strange new land of three-dimensional shapes such as pyramids, prisms, and cubes. We will see them in their native habitat, learn about their tendencies, and even memorize their scientific names (did you know that a cube's scientific name is Sixus squarius?). By the end of this unit, we'll be pros when it comes to surface area, volume, nets, and cross sections.
$add to cartremove
Unit 9. Statistics
Statistics allow us to sample populations, gather data, calculate means, and create colorful graphs that report our findings. It's all about making a lot of information more easily understandable. That, and proving once and for all that Michael Keaton is the best Batman of all time.
$add to cartremove
Unit 10. Probability
This unit will focus primarily on being able to predict the future. (Think less divination and more blackjack.) We'll draw tables and diagrams to represent probabilities of different events, calculate the chance of winning a poker hand and the lottery, and dabble in the art of simulations, all to bring probability to life.
We Love you and we want to show it!
Lots of students? No problem! We've determined that one of our brilliant sales elves can save you precious moolah on your order. Drop us a line below and we will get in touch with you about your Shmoopy needs in the flashes of flashes.
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Article excerpt
Most undergraduate programs require completion of a mathematics course, but pass rates in these courses are often low. To determine predictors of student success in 100-level mathematics courses at the University of Southern Maine, we used a questionnaire to collect information on possible predictors of grade (student demographics, attitude, educational experience, factors impacting study time) and course-related factors. We then performed univariate analysis using Mann-Whitney and the Kruskall-Wallis tests, and multivariate analysis using ordinal logistic regression modeling, and found that students who were male, older, had missed fewer classes, had taken more 100-level classes, took classes in a once a week format, had a more positive attitude toward mathematics, and had a lower ranked instructor tended to receive higher grades. These results suggest that a supportive learning environment may enhance performance.
Introduction
Most undergraduate students are required to successfully complete at least one course in mathematics to obtain a baccalaureate degree. However, many students enter college unprepared for the study of mathematics, or other subjects that require quantitative analysis, at the college level, and pass rates in these courses are low (Boughan, 1996). The consequences of these low pass rates can be significant. Undergraduate student rates of entry into and persistence in science, engineering, and mathematics majors are poor nationwide (House, 2000), and failure in an introductory mathematics course may contribute to this trend.
The University of Southern Maine (USM) is a public university in northern New England. To determine if poor performance in entry level mathematics courses is a problem at USM, as it seems to be nationwide, the USM Department of Mathematics and Statistics reviewed pass rates for the fall semester of 2001 in the three entry-level mathematics courses that it offers (MAT 105: Mathematics for Quantitative Decision Making, MAT 108B: College Algebra, and MAT 120D: Introduction to Statistics). It found a 20.7% failure rate for these courses compared to a 9.6% failure rate for all other 100-level courses across the university for the same term. This led to discussions about interventions that might improve student success rates.
A range of factors including student perceptions of/attitudes toward mathematics and science (Olsen and House, 1997), and academic background (House, 2000; Sandler & Tai, 2001) are well established as predictors of student achievement in mathematics and science education. Students' outside workload (Harris, Hannum, and Gupta, 2003) and characteristics of the way a specific class is taught (Lake, 2001) may also play a role at some institutions.
In an effort to recognize the predictors of success and failure in basic mathematics courses at USM, and to suggest interventions that could improve student success, we surveyed students enrolled in the three entry-level math courses at USM during four consecutive semesters in 2003. From each student, we collected general demographic facts, as well as information about academic preparation, attitude toward mathematics, and use of university resources designed to help students in the study of mathematics. We also collected basic information about the teaching of each individual course section. We then used nonparametric univariate statistical methods and ordinal logistic regression to examine the relationships between these predictors and each student's final course grade.
Methods
Setting: USM is a comprehensive public university that offers 50 majors and more than 40 academic programs to the increasingly diverse population of southern Maine. USM is comprised of three campuses (in Portland, Gorham, and Lewiston-Auburn, Maine) and three off campus sites (located in Bath/Brunswick, Saco, and Sanford, Maine). Thus, USM serves both relatively urbanized areas (Portland is the largest and Lewiston-Auburn the second largest urban center in Maine) as well as more suburban and rural parts of the state. …
The Dynamic Interplay of Student Motivation and Cognition in the College of EducationStudents at Kuwait University Al-Ansari, Eissa M..
Social Behavior and Personality: an international journal, Vol. 33, No. 4, 2005
The Place of Interest in Pre-Service English Teachers' Choice of Occupation: A Study of Selected Nigerian College of EducationStudents Faniran, A. O. Olatunji, S. O..
Ife Psychologia, Vol. 19, No. 1, March 2011
An Integrative Summer Field Course in Geology and Biology for K-12 Instructors and College and Continuing EducationStudents at Eastern Washington University and Beyond Thomson, Jennifer A. Buchanan, John P. Schwab, Suzanne.
Journal of Geoscience Education, Vol. 54, No. 5, November 2006
PEER-REVIEWED PERIODICAL
Peer-reviewed publications on Questia are publications containing articles which were subject to evaluation for accuracy and substance by professional peers of the article's author(s).
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College Algebra Essentials -With CD - 3rd edition
Summary: Chapter P. Prerequisites: Fundamental Concepts of Algebra.P.1 Algebraic Expressions, Mathematical Models, and Real Numbers1. Evaluate algebraic expressions.2. Use mathematical models.3. Find the intersection of two sets.4. Find the union of two sets.5. Recognize subsets of the real numbers.6. Use inequality symbols.7. Evaluate absolute value.8. Use absolute value to express distance.9. Identify properties of the real numbers.10. Simplify algebraic expressions.P.2 Exponents and Scient...show moreific Notation1. Use the product rule.2. Use the quotient rule.3. Use the zero-exponent rule.4. Use the negative-exponent rule.5. Use the power rule.6. Find the power of a product.7. Find the power of a quotient.8. Simplify exponential expressions.9. Use scientific notation.P.3 Radicals and Rational Exponents1. Evaluate square roots.2. Simplify expressions of the form ?a23. Use the product rule to simplify square roots.4. Use the quotient rule to simplify square roots.5. Add and subtract square roots.6. Rationalize denominators.7. Evaluate and perform operations with higher roots.8. Understand and use rational exponents.P.4 Polynomials1. Understand the vocabulary of polynomials.2. Add and subtract polynomials.3. Multiply polynomials.4. Use FOIL in polynomial multiplication.5. Use special products in polynomial multiplication.6. Perform operations with polynomials in several variables.Mid-Chapter Check PointP.5 Factoring Polynomials1. Factor out the greatest common factor of a polynomial.2. Factor by grouping.3. Factor trinomials.4. Factor the difference of squares.5. Factor perfect square trinomials.6. Factor the sum or difference of two cubes.7. Use a general strategy for factoring polynomials.8. Factor algebraic expressions containing fractional and negative exponents.P.6 Rational Expressions1. Specify numbers that must be excluded from the domain of rational expressions.2. Simplify rational expressions.3. Multiply rational expressions.4. Divide rational expressions.5. Add and subtract ...show less
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Algebra 2: Common Core Edition - 12 edition
Summary: Fully Aligned to the Common Core The Student Editions provide clear, comprehensive coverage of the new Common Core State Standards, with a special focus on the Standards of Mathematical Practice. Focused on Mathematical Practices Lessons and activities are designed to emphasize conceptual understanding, focus on critical thinking and reasoning, and to integrate tools effectively for mathematical modeling. Designed to Support ...show moreTransition Teacher resources include correlations to the Common Core State Standards, pacing guides, and differentiated course planners with teaching support to ensure complete coverage of the Common Core State Standards. ...show less
0547647077 Item in very good condition and at a great price! Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!!
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What we do
Math 90 is a credit/no-credit course designed for students who may have been away from school for several years or who need a math refresher course to prepare them for more advanced subjects such as Math 103 or Math 110. In this course we review numeric and algebraic operations such as manipulating fractions, factoring polynomials, working with exponents, graphing and solving various types of equations. The course requires five hours of class time and one hour of computer lab each week.
Course Materials
This course utilizes the textbook "Beginning and Intermediate Algebra" by Bittinger, Ellenbogen and Johnson
(ISBN-13: 978-1-256-97660-8). Associated with this course is a math computer lab administered by in which participation is required. The textbook is available as an ebook through this lab but a hardcopy is also available if you prefer. The textbook is especially created for Grossmont/Cuyamaca Colleges and may be purchased at the college bookstore. Pricing for the lab and for the textbook will vary depending on the vendor but, for planning purposes, the lab with ebook will cost about $100 and the hardcopy textbook will cost about $100. You will also need a calculator such as the TI30 and you will need a notebook, quadruled graphing paper, a clear straight-edge for graphing, pencils and a good eraser.
Expectations
The course follows the textbook very closely presenting one section of the text each 50 minutes of class time. Each class 'hour' will consist of a short lecture covering the essential points of the target section and, following the lecture, worksheets will be distributed where you are expected to apply the material covered in the lecture to specific algebra problems. You are expected to work together on these worksheets and, of course, I am available to help where needed. The worksheets are handed in at the end of class, they are graded that evening and returned the next class day. If you miss a day of class you get a zero on that days worksheet so you are expected to be present each class day.
This site
This site will contain the latest schedule and homework for our Fall 2013 Math 90 class. The syllabus, schedule and homework pages are each accessed individually and are not grouped as was done on the first day of class. The site provides for pdf file download of all pages.
Recent changes
I will insert changes, notes or other pertinent information here from time to time.
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I hope you will pardon me if I veer somewhat from your question.
The Mathematica documentation files and tutorials themselves are the least
expensive and most up to date way to learn Mathematica. The trick is not to
just read or evaluate them but to type the commands into your own notebook
and use variations to experiment with them.
There are a number of Mathematica books out there, which I will let others
recommend. Some get out of date, and most of them spend much their effort
repeating the same basics. Their main advantage is that they might introduce
you to Mathematica commands you might not ordinarily think of.
A better way is to get ordinary non-Mathematica books, or even tutorial
pages from the web, and try to implement them in Mathematica notebooks,
flying solo, so to speak. Start with really EASY material that you basically
understand where the only problem is to translate it into Mathematica
format.
The cruel fact is that it takes a long time to get really good at
Mathematica and nobody masters it all. People headed for technical careers
should start learning it in secondary school. It's a real problem if one has
to learn Mathematica and difficult technical material at the same time and
under time pressure. I regard Mathematica as a revolutionary new medium for
doing and communicating mathematics. If it took us most of secondary school
(at least) to learn how to write and express ourselves well in our native
language, how much more effort is involved in adding mathematics and the
various dynamic presentations into the mix? The good news is that it is such
a new area that you can be one of the pioneers.
One way to learn physics, say, is to pick a topic (preferably simple) and
write a tutorial on it using the Mathematica medium. Write it as if you were
explaining the topic to someone else. Text cells are as important as
Input/Output cells. Polish it. You can actually add value to the material
because most topics have not been well treated using the active and dynamic
features of Mathematica. You can explain many things much more clearly and
elegantly with Mathematica than can be done on the printed page.
Don't hesitate to write your own routines when necessary. Mathematica does
not have buttons for everything. Often routines are helpful for convenient
application to specialized areas. Write usage statements, error messages,
and SyntaxInformation statements for generally useful routines. Eventually
you will have a suite of great routines that you could wrap into a package.
Try to calculate everything. Do derivations actively without using "word
processing" to get over steps. It usually can be done, increases your
abilities with Mathematica and the subject matter, helps to proof your work,
and is very impressive to anyone reading the notebook.
All these things are just as important as adding another book to the
bookshelf.
David Park
djmpark at comcast.net
From: Mat' G. [mailto:ellocomateo at free.fr]
Hi all,
which book do you advice to learn and use Mathematica 8 in the field of
physics and engineering?
Thanks for advising!
Mat
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Math Detective uses topics and skills drawn from national math standards to prepare your students for advanced math courses and assessments that measure reasoning, reading comprehension, and writing in math.Students read a
Coordinated Science is a new two-volume science text for both coordinated and integrated science courses. Concepts in physical, life, and earth sciences are integrated into major subject areas and related directly
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The basic concepts of algebra and trigonometry needed for the study of calculus. Included are properties of exponents; solving equations and inequalities; graphing; properties of polynomial, exponential, logarithmic, and trigonometric functions.
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Text:Mathematics For Elementary School Teachers,
Second Edition, by Bassarear, New
York:Houghton Mifflin, 2001.
Course Description:This class is designed for
prospective elementary teachers.We will
cover the material in chapters 6-10 of the textbook.The topics we cover include proportional
reasoning, probability and statistics, and geometry.
Expected Outcomes:Students will be able to:
Organize and present data in a graph, as well as
read information from a graph
Express simple probabilities as rational numbers,
and apply the elementary properties of probability
Recognize and analyze geometric shapes and their
properties, including lines and angles
Recognize symmetry and its relationship to
transformations
Be able to express values in different units of measurement,
including units of area and volume, and perform computations of length,
area, and volume
Grades:
A:92% or better, A-:88-91%, B+:84-87%, B:81-83%, B-:77-80%,
C+:74-76%, C:71-73%, C-:68-70%, D:65-67%, F 64% or below.
Make-up/Late work Policy:I do not
accept late or make-up work.If you
experience a severe emergency, special arrangements may be made at my
discretion.
Evaluation Categories:I will use a
point system to determine your grade:
Journal100
points
Homework90 points
Quizzes200 points
Test100
points
Final210 points
Total700 points
Journal:There will be classroom assignments
specifically designated to go in your journal, typically an average of 1
problem per class.The journals will be
collected 5 times over the course of the semester, each time being worth 20
points.Late journals are not accepted.
Homework:Homework is assigned every class period and
is due each Monday.Homework is graded
out of 7 points.Five (5) points will be
given for attempting all but one or two of the assigned problems, six (6)
points will be given for attempting every problem, and seven (7) points will be
given if, in addition to attempting every problem, solutions are complete and
correct.I will drop your lowest
homework score from your grade.Late
homework is not accepted.
Quizzes:
There will be a quiz every Friday from January 30 through March 26, except that
we will not meet for class on February 20.The 8 quizzes will each be worth 25 points, and will be based on the
homework collected on Monday of the same week, as well as the classwork from
the week.Make-up quizzes are not given.
Test:An exam will be given on Monday, May 3, and
it will be worth 100 points.
Final:The final exam will be worth 210 points, is held
on Monday, May 17, from 1-3 pm
and will be cumulative.
Other Policies:
I enforce University and Math
Department policies, including the ELM requirement.
Please have your beepers or
cell phones turned off or in silent mode.If you need to make or answer a call, please exit the room.
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books.google.com - The book provides an introduction to complex analysis for students with some familiarity with complex numbers from high school. The book consists of three parts. The first part comprises the basic core of a course in complex analysis for junior and senior undergraduates. The second part includes various... Analysis
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Study Guide for Stewart's Multivariable Calculus, 6Study smarter and work toward the grade you want with this helpful guide. You'll find a short list of key concepts; a short list of skills to master; a brief introduction to the ideas of each section; an elaboration of the concepts and skills, including extra worked-out examples; and links in the margin to earlier and later material in the text and Study Guide.
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Math XL was without a doubt one of the worst math online programs I ever had to work with in my life
this picture is a picture I took, and showed to my professor since this question broke my 100 on a text, making it a 96. I also emailed support for them, and they said that this was not an error on their side, and was most likely due to slow internet connection.
Funny. My Calculus and Discrete Math professors hate it to the core. My Pre-Cal professor allowed unlimited retries because she knew how bad it was. They praise it because it takes nearly all their time grading **** away.
"Ah, I see you brought your graphical calculators from last year, and learned how to use them and are eager to use them again? You have used computer programs as well? How quaint. There's the bin, you can throw that expensive **** in there, we're using pencil and paper in my classroom, **** your technological ******** and **** this so called smartboard that doesn't work half the time. I'm using chalk and a blackboard." Best math teacher I had in my life.
<<< This is how the ones who didn't specialise in math thought he looked like.
Mastering physics is also painful to use. I honestly wish my physics professor would stop ******* around and just use webassign like everyone else. (Web assign has the nice benefit of accepting whatever correct answer you give it).
I mean, holy **** ******* tap dancing mother of all that is holy is this thing fiddly as **** .
I have to spend hours making sure my equation is damn near perfect just so the whole question doesn't change on me if I get it wrong the first time, and even if you get it right it still isn't a guarantee that you are going to be able to move on to the next question.
the letter i is not algebra, it represents the square root of negative 1 - A NUMBER THAT DOESN'T EXIST. Everything past the 5 is called a complex number.
MFW i never have to do A-level further maths again.
this is actually early high school algebra... the letter i is supposed to represent the square root of negative 1 yes, but its also supposed to be used to add negatives to other square roots... i(squareroot)3 is just square root of 3...
also I dont get this. how can FJ not do maths but can exponentially be talented at politics and the like?
Complex numbers are used for extremely niche fields - like quantum physics or electrical engineering. While the numbers themselves don't exist in the real, physical world, they still can be used to solve complex equation. Like happyness isn't a physical THING, but it still has an effect.
>Be me doing math homework
>Systems of Linear Equations
> ******* story problems
>"40 tickets are bought for a concert. The number of tickets purchased for seats in either Floor 2 or Floor 1 is the same as the number purchased for Floor 3. Floor 1 costs X, Floor 2 costs Y, Floor 3 costs Z. How many of each type of tickets were purchased?"
>Logically F1 = F3 and F2 = F3, therefore F1 = F2
>Book gives three different answers
>wut.png
>Read problem again
>Ask professor about it the next day, he explains that F1 + F2 = F3
>MFW mathematicians think "either X or Y" is the same as "X and Y."
Professor explained it wrong also. The key word was EITHER. So its F1 =F3 OR F2=F3. Doesnt matter which one you make the variable. SO lets give each one variables
F1=F3, F2=x, F3=Y
SO the equation becomes (40-x)/2=Y
F1=x, f2=Y, F3=F1
SO the equation becomes 40-2x= Y
And the third answer is prob one that has the variables switched around again.
Source: Its ******* Linear Equations( Thats straight lines dumbass)
But in this case a has to equal 1 and b we know is 5 so
(-5-5/sqrt(3))/2 = (-5+sqrt(25-4c))/2
-5/sqrt(3) = sqrt(25-4c)
25/3 = 25-4c
(25/3-25)/-4 = c
I don't know... I've been through some maths and they never throw numbers like that at you. Seems unlikely.
And with the number if different roots, that 6th order polynomial has to be ugly as **** to factorize. Did you find factorizing easy? I didn't, far too much "completing of squares" to be done. You always had to add **** that wasn't originally there to make it work although with a nice pair-numbered polynomial it's a little easier.
I agree. I usually don't have problem factoring, but this problem would have been difficult.
My guess is still that it was just a hard factoring problem. It might have been an extra-credit kind of problem. Or it could be a differential equation problem requiring the method of undetermined coefficients. But if I was called a nerd for knowing how to factor a polynomial, there's no way I'm guessing it's a linear algebra problem.
SOMEBODY TELL ME IF THIS IS RIGHT i used this freshman year of college and i feel like i'm missing something but can't you just submit random numbers as answers and like take a pic of the correct answer. then just keep getting them wrong until it gives you the same one from before in which you just type in the answer you took a pic of
can the instructor like see all the answers you submitted?
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Calculator Policy for the 2005–06 School Year
The TI-89 handheld instrument is more than a graphing calculator, such as
the TI-83+ or TI-86. It can perform symbolic algebra and symbolic
calculus like the TI-92. Unlike the TI-92, it does not have a QWERTY
keyboard and is in fact housed in a case very similar to others in the
TI-8x series. The TI-89s started arriving in the Math and Science Center
classrooms in October 1998. Usage policy has been formed as follows,
based on the following major considerations.
Note: the TI-84+, TI-84+SE, and TI-89 Titanium were new fall 2004.
No associated policy changes have been needed.
Considerations
The TI-89 "calculator" does not have a QWERTY keyboard, but performs
symbolic algebra/calculus like the TI-92 which does have a QWERTY keyboard.
Historically, this difference was used to distinguish between allowed and
disallowed electronic devices.
The TI-89 will be allowed during 2005–06 on the MMPC, AMS-10,
AMS-12, and the MML contests. (The AMCs will not allow the TI-92.)
The AP Calculus (and AP Statistics) tests of May 2006 will again allow the
TI-89 for those portions of the test allowing a calculator. The AP Calculus
test has two equally weighted parts: multiple choice and free response.
Each half is further divided into a calculator and no calculator portion.
The free response portion that allows calculators is heavily graded
on the written set-up and application of the calculator
not on the resultant answer. Calculatorese is graded harshly.
Policy
All students with a TI-89 or similar device must make known its presence
in the classroom. We will gladly record the serial number as we already
do with graphing calculators.
The TI-89 and similar symbolic devices will not generally be allowed
on any test or quiz except in our AP Calculus (or beyond) courses.
The TI-89 and TI-92 are not to be used for homework, chapter reviews,
or other similar activities, except for those problems specifically
specifying use of a symbolic utility. Just as we expect you to be able to do basic
arithmetic without a calculator, we expect you to be able to do basic
algebra/calculus without a TI-89.
Since one of the goals of the AP Calculus course is to prepare
students for the AP Calculus test, the pattern of a no calculator/calculator
portion will be implemented not only for the final test in May, but also
any other test or quest.
Students with TI-89's or similar symbolic devices should be prepared to
use a graphing calculator on contests and test portions disallowing use
of a symbolic device. Please bring an allowed calculator, if possible, since
we have very few to loan.
On classroom test portions where a TI-89 is allowed, a TI-92 will also be allowed.
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
Stressing an intuitive rather than rigorous/formal approach to calculus, this student-oriented text covers all of the standard topics. Integration of chapter-end computer exercises and calculator exercises throughout the text and a graphing calculator appendix recognise the impact of technology on calculus. An abundance of interesting applications from engineering, physics, biology, chemistry, economics, astronomy, medicine and pure mathematics shows the far-reaching relevance of calculus. An algebra review is provided in Chapter 10. Numerous examples throughout the text contain all the algebraic steps, with key steps highlighted in colour, needed to complete the solution. The examples are complimented by more than 7,000 section and chapter exercises featuring drill, application, calculator, "show/prove/disprove", and challenge problems. Each problem set begins with "Self-quiz" questions to help students evaluate their understanding of basic ideas in the section. The development of calculus is outlined in extensive historical notes. Biographical sketches impart information on renowned mathematicians.
Hardcover, ISBN 0123043603 Publisher: Academic Press Inc, 1981 Usually dispatched within 1-2 business days, Dispatched from within the UK; please allow 9-13 working days for delivery. Prompt and Friendly customer service.
Hardcover, ISBN 0123043603 Publisher: Academic Press Inc, 1981 Good. Shipped within 24 hours. 100% Refund Guaranteed. Good copy with average wear. Comes with dust jacket if published with one - DJ may have some tears and rubbing.
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what is the use of calculus in real world?
5 months ago
5 months ago
Hey! Another student here so don't count my answer on being comprehensive. In my experience, calculus has been useful for so many things, especially physics (which is indispensable for many types of engineering) and some statistical models (finance).
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completed the class discrete mathematics for computer science while in college. The topics covered were logic, proofs, mathematical induction, sets, relations, graph theory etc. I apply this knowledge almost daily when I program in excel.
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Algebra Skills for College
The intent of this draft syllabus is to provide adult education program administrators and instructors a suggested core and title for the provision of a transition math class. It is expected that this class will match the needs of adult learners to prepare for and develop skills for placement testing and success in college level math courses and to avoid the repetition of a developmental algebra course at the post secondary level.
Suggested contact hours for syllabus: 90-120
This syllabus is intended to provide the basics of algebra skills required for success in a degree level post-secondary algebra program. Skill level should be determined prior to entry. The suggested syllabus should be divided into parts one and two if provided on a semester basis. The purpose of the course is mastery of skills and appropriate placement scores.
Course Description
The Transition Curriculum is designed for high school graduates or GED recipients who intend to or are applying to post-secondary institutions. This course covers the standard topics of basic algebra: real numbers and algebraic expressions, using formulas, solving linear equations and inequalities, Cartesian coordinates, graphs of linear equations, direct and inverse variation, operations with polynomials, factoring of polynomials, solving quadratic equations, and simplifying rational and radical expressions.
Course Objectives Upon successful completion of the course, the student will be able to:
Review integers, rational numbers and order of operations
Use the properties of real numbers to simplify algebraic expressions
Solve linear equations, inequalities and absolute values
Evaluate and solve formulas
Graph linear equations and inequalities.
Find slopes, intercepts and the equation of a line
Use rules of exponents including negative exponents and scientific notation
The York County Adult Education Math Curriculum Framework is available. Completion of Tier II and III is recommended. Course sequence by semester is also available in Pam Meader's suggested Algebra Part A and Part B.
Placement Testing Based on current admissions procedures at the Maine Community College System, various cut scores are required at individual campuses. Placement into an Algebra Skills for College course or program of study is recommended for students scoring less than 75 on the Elementary Algebra section of the Accuplacer examination or scoring less than 510 in math in a recent (within one year) GED test. (Students scoring 520 or above on the GED math test should immediately take the ACCUPLACER college placement exam. These scores closely align with a 11.4 GE or 603 scale score on the TABE A.)
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PRECALCULUS POWER POINT DRILL Here are some of the basic Pre-Calculus math facts that you absolutely must master before you can experience success in Calculus.
My students can expect a quiz on the content presented in this power point slide show on the VERY FIRST DAY of Calculus class.
Run this Power Point presentation often until you know the answers faster than you can click! click here to begin
Don't settle fo less than your best!
PRECALC LESSER TOPICS This Power Point contains other topics you are expected to know and that will be on your final exam in PreCalculus. However, these topics do NOT play as important a role in Calculus AB as the topics on the other power point. But good math students will want to "know it all." Also, many of these topics, including parametric and polar functions, sequences and series DO play an important role in Calculus BC. click here to begin
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With this app the Pythagorean Theorem is interactive. You can change the lengths of the legs (dragging), the length of the hypotenuse with two fingers and zoom (pinch zoom) and rotate the figure (dra... More: lessons, discussions, ratings, reviews,...
Students do a visual demonstration of the Pythagorean theorem based on Euclid's proof. By shearing the squares on the sides of a right triangle, they create congruent shapes without changing... More: lessons, discussions, ratings, reviews,...
In a beach race, contestants must swim to a point along the beach and then run to reach the finish line. Where should I aim to land on the beach so as to minimize my total time for the race? Stu... More: lessons, discussions, ratings, reviews,...
Students graph a quadratic function in vertex form by using a, h and k sliders. The applet makes the translations, reflections and stretches very visual and clear. There are no exercises or supportin... More: lessons, discussions, ratings, reviews,...
Explore how the parameters in a quadratic equaiton in standard form affect the graph of the equation. Dynamically change the parameters a, b, and c and immediately see the effect on the graph. Try t... More: lessons, discussions, ratings, reviews,...
Explore how the parameters in a quadratic equation in vertex form affect the graph of the equation. Dynamically change the parameters and immediately see how the graph changes. Try to change the parThis App provides a way for students to study and learn how to identify the coefficients of a function from a graph. Students can choose linear functions, quadratic functions, and absolute value functA story from the middle school classroom: Ihor describes how he scheduled a "contest" for students to show what they know about slopes and y-intercepts using the Green Globs software. He also provides... More: lessons, discussions, ratings, reviews,...
Have you ever wondered why you need to learn quadratic equations? This culminating lesson aims to make the math real, by showing the students visually how a simple problem can be solved by quadratic e... More: lessons, discussions, ratings, reviews,...
This Flash program is a way to give your students endless practice on solving quadratic equations. It randomly generates ten problems which you can print and distribute. (Special care is taken to ensu... More: lessons, discussions, ratings, reviews,...
This collection of free worksheets provides practice in a variety of algebra topics, generating ten problems at a time for users to solve. Each worksheet is printable and comes with an answer key.
To... More: lessons, discussions, ratings, reviews,...
Students find the optimal price for an insurance company premium in this game by interpreting data and applying their understanding of linear and quadratic models. [Access requires setting up a (free)...
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Lambda-Matrices and Vibrating Systems by Peter Lancaster
Book Description
Features aspects and solutions of problems of linear vibrating systems with a finite number of degrees of freedom. Starts with development of necessary tools in matrix theory, followed by numerical procedures for relevant matrix formulations and relevant theory of differential equations. Minimum of mathematical abstraction; assumes a familiarity with matrix theory, elementary calculus. 1966 edition.
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Suitable for courses that require the use of a graphing calculator, this book features quality exercises, interesting applications, and resources to help you succeed. It also achieves accessibility through careful writing and design - including examples with detailed solutions that begin and end on the same page, which maximizes readability.
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...The Too often high school math is presented as a bunch of topics whose relationships to each other is sometimes left as tenuous or non-existent
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