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Mathematical Ideas (12th Edition)
9780321693815
ISBN:
0321693817
Edition: 12 Pub Date: 2011 Publisher: Addison Wesley
Summary: Mathematical Ideas offers students a comprehensive understanding of how they can relate math to everyday situations and even more unique situations such as those from film and television. It uses an innovative approach to guide students through the complex mathematical concepts through relatively easy to understand approaches that are easy to apply. These methods form part of a very readable and accessible textbook. ...It also offers excellent study tools to aid subject comprehension. We offer many mathematics textbooks of this calibre to buy brand new or to rent in good condition. We also offer a buyback service for those with used textbooks to sell.
Miller, Charles David is the author of Mathematical Ideas (12th Edition), published 2011 under ISBN 9780321693815 and 0321693817. Seven hundred sixty two Mathematical Ideas (12th Edition) textbooks are available for sale on ValoreBooks.com, four hundred six used from the cheapest price of $38.79, or buy new starting at $107.5612th edition. Does Not include CD's, DVD's, access codes or other supplements. PLEASE NOTE: Fairly Minor water damage is present along side edge -- No page sticking. Minimal i [more]
12th edition. Does Not include CD's, DVD's, access codes or other supplements. PLEASE NOTE: Fairly Minor water damage is present along side edge -- No page sticking. Minimal internal markings. Moderate cover wear. Some Areas with dogeared pages, and Some page creases at corners and along edges. Bookstore stickers on covers. Nice for the price!! Enjoy!! [less]
New Hardcover. 12th Edition May contain highlighting/underlining/notes/etc. May have used stickers on cover. Ships same or next day. Expedited shipping takes 2-3 business days [more]
New1694065 shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
The book clearly showed the breakdown for all of the different types of problems that were introduced and had plenty of practice problems to work on, which was very helpful for studying before tests especially with a teacher that did not always explain the problems very well.
It was one of the basic concepts of math class that students had to chose from.
I used this book for a mathematical course for liberal arts degree. It was the second part and the course number was 152. We studied line graphs, geometry, statistics, and probability. I felt that the material was well described both in the book and in class, the online tutorials were overkill.
I felt that this book only partially prepared me for the GRE exam, I did study for the test using this particular text, and I did complete the practice quizzes, but I did not do quite as well as I had hoped. Overall I thought that it prepared pretty well, but could use some improvement in the English and Math sections.
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Shipping prices may be approximate. Please verify cost before checkout.
About the book:
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.
Softcover, ISBN 0486689069 Publisher: Dover Publications, 1996 Usually ships within 1 - 2 business days, Brand New. Delivery is usually 5 - 8 working days from order, International is by Royal Mail Airmail
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This course will develop a rigorous theory of elementary mathematical analysis including differentiation, integration, and convergence of sequences and series. Students will learn how to write mathematical proofs, how to construct counterexamples, and how to think clearly and logically.
These topics are part of the foundation of all of mathematical analysis and applied mathematics, geometry, ordinary and partial differential equations, probability, and stochastic analysis.
Textbook: Fundamental Ideas of Analysis, by Michael Reed. The course will cover most, but not all, of the material in Chapters 1-6.
The first part of the course will cover basic numerical linear algebra, in particular matrix factorizations, solution of linear systems and eigenproblems, nonlinear equations in 1 dimensions. If time permits, we shall discuss recent randomized algorithms in numerical linear algebra.
We discuss several related topics and techniques at the intersection between probability, approximation theory, high-dimensional geometry, and machine learning and statistics.
We build on basic tools in large deviation theory and concentration of measure and move to problems in non-asymptotic random matrix theory (RMT), such estimating the spectral properties of certain classes of random matrices.
We then use these tools to study metric proeprties of certain maps between linear spaces that are near-isometry, such as random projections. We then move to the setting of general metric spaces, and introduce multiscale approximation of metric spaces a la Bourgain, and also discuss tree approximations, and hint at the algorithmic applications of these ideas. Finally we move to the real of function approximation/estimation/machine learning for functions defined on high-dimensional spaces. We discuss Reproducing Kernel Hilbert Spaces and learning iwth RKHS's, and we also discuss multiscale techniques for function approximation in high-dimensions. We discuss also geometric methods, both graph based (Laplacians, manifold learning) and multiscale-based. Finally, we discuss recent fast randomized algorithmic for certain numerical linear algebra computations, that use non-asymptotic RMT results discussed above.
Requirements: solid linear algebra and basic probability. Of help, but to be introduced in the course: metric spaces, function spaces, matrix factorizations.
A course wiki contains links to lecture notes, papers and other materials. May be edited by students in the class.
Textbook: Fundamental Ideas of Analysis, by Michael Reed. The course will cover most, but not all, of the material in Chapters 1-6.
There will be a midterm exam, a final exam and weekly homework.
Evaluation: There will also be at least one lengthy assignment which challenges you to write carefully constructed proofs.
Your final letter grade will be based on these components weighted as follows: long assignment(s) 10-15%, regular homework 20-25%, midterm exam 25%, final exam 40%.
Homework is due at the beginning of class, stapled, written legibly, on one side of each page only and must contain the reaffirmation of the
Duke community standard.
Otherwise, it will be returned ungraded. The logic of a proof must be completely clear and all steps justified.
The clarity and completeness of your arguments will count as much as their correctness.
Some problems from the homework will reappear on exams. I will go over in detail the solution to any homework problem during office hours.
You may use a computational aid for the homework but I do not recommend it. Calculators and computers will not be allowed on the quizzes and exams.
The lowest homework score will be dropped. No late homework will be accepted. Duke policies apply with no exceptions to cases of incapacitating short-term illness,
or for officially recognized religious holiday.
You may, and are encouraged to, discuss issues raised by the class or the homework problems with your fellow students and both offer and receive advice. However all submitted homework must be written up individually without consulting anyone else's written solution.
We will discuss the basics of spectral graph theory, which studies random walks on graphs, and related objects such as the Laplacian and its eigenfunctions, on a weighted graph.
This can be thought as a discrete analogue to spectral geometry, albeit the geometry of graphs and their discrete nature gives rise to issues not generally considered in the continuous, smooth case of Riemannian manifolds.
We will present some classical connections between properties of the random walks and the geometry of the graph.
We will then discuss disparate applications: the solution of sparse linear systems by multiscale methods based on random walks; analysis of large data sets
(images, web pages, etc...), in particular how to find systems of coordinates on them, performing dimensionality reduction, and performing multiscale analysis
on them; tasks in learning, such as spectral clustering, classification and regression on data sets.
Materials:
Code for the demo involving drawing a set a points, constructing an associated proximity graph, and computing and displaying eigenvalues/eigenfunctions of the Laplacian. You need to first download and install the general code for Diffusion Geometry (last updated on 1/29/08), and then download and install this code for running the demo I ran in class, with some images already prepared. After installing the Diffusion Geometry package, please run DGPaths in order to set the Matlab paths correctly. The script for the demo is called GraphEigenFcnsEx_01.m, and it is fairly extensively commented. I will be happy to add your own examples here! The code works best with the Approximate Nearest Neighbor Searching Library by D. Mount and S. Arya. To install this code, simply untar in a directory and run make. This should produce the file libANN.a in the lib subdirectory. This file is already included in the Diffusion Geometry package, in the MEX directory, compiled on a Unix machine at Duke Math. Copy this library libANN.a in the MEX directory, under the directory where the Diffusion Geometry package, and from the Matlab prompt run "mex ANNsearch libANN.a" and "mex ANNrsearch libANN.a". This will yield two .mexglx files, that are what Matlab will call. These two files are already included in the Diffusion Geometry package, after compilation on a Unix machine at Duke Math.
References:
R. Diestel's book on Graph Theory is an excellent general reference. Availble online here.
D. Spielman notes for his course on Spectral Graph Theory at Yale; several papers on specific applications, dependent on the attendant's interests.
D. Spielman notes on his course on Graphs and Networks at Yale. Some overlap with the above, but also other references and materials.
F. Chung's book "Spectral Graph Theory". She also wrote a book on "Complex Graphs and Networks", mostly on random graphs and their degree distribution properties, and also some spectral results for them. Visit her homepage for lots of interesting material on graphs, spectral graph theory and its applications. In particular see the gallery of graphs.
I plan to develop lecture notes as the course proceeds. Last update: 1/10/07.
The notes are still in a very preliminary should be downloaded and used by students of the course only, and should not be divulgated, replicated if not
for purposes related to the course.
When a more stable version will become available, certain of these restrictions will be removed.
This link will be updated regularly. Right now they are in an extremely preliminary state, and at times they may not even be accessible through the link provided.
A list of topics for presentation suggested for the course (by instructor or students), and the students currently working on them is available
here.
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Synopses & Reviews
Publisher CommentsSynopsis:
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems.
Synopsis:
Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses
SynopsisAbout the Author
Ueli Daepp is an associate professor of mathematics at Bucknell University in Lewisburg, PA. He was born and educated in Bern, Switzerland and completed his PhD at Michigan State University. His primary field of research is algebraic geometry and commutative algebra. Pamela Gorkin is a professor of mathematics at Bucknell University in Lewisburg, PA. She also received her PhD from Michigan State where she worked under the director of Sheldon Axler. Prof. Gorkin's research focuses on functional analysis and operator theory. Ulrich Daepp and Pamela Gorkin co-authored of the first edition of "Reading, Writing, and Proving" whose first edition published in 2003. To date the first edition (978-0-387-00834-9 ) has sold over 3000 copies.
"Synopsis"
by Springer,
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems.
"Synopsis"
by Springer,
Reading, Writing, and Proving is designed to guide mathematics students during their transition from algorithm-based courses
"Synopsis"
by Springer,
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1133103529
9781133103523
Student Solutions Manual for Stewart/Redlin/Watson's Trigonometry, 2nd:Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their work and ensure that they took the correct steps to arrive at an answer.
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Multiplying and dividing large numbers. Simplifying fractions and converting percentages. Handling square roots and exponents. These and other skills are the veritable foundation on which all of mathematics rests. To master them is to unlock the door to more advanced areas of study—such as algebra, geometry, and calculus—and to discover new levels of confidence in dealing with the math of everyday life.
Whether you're a high-school student preparing for the challenges of higher math classes, an adult who needs a refresher in math to prepare for a new career, or someone who just wants to keep his or her mind active and sharp, there's no denying that a solid grasp of arithmetic and prealgebra is essential in today's world. Knowing the fundamentals of mathematics can
increase your chances of success in high-school and college math classes;
prepare you for a career in a field that requires a strong foundation in math, such as economics, engineering, medicine, and the building trades;
strengthen your everyday critical thinking skills; and
help you handle with confidence everyday tasks such as shopping and planning a personal budget.
Yet despite how basic this kind of math may seem, the mechanics of mathematics remains a mystery to many of us because we've been taught to focus solely on our answers. But in the opinion of award-winning Professor James A. Sellers of The Pennsylvania State University, a true understanding of basic math involves more than just arriving at the right solution. It involves
properly understanding the nature of numbers and mathematical concepts,
paying close attention to the step-by-step processes behind different calculations, and
thinking about what you're solving for—and why you're solving for it in a specific way.
This more well-rounded approach to the basics of mathematics is a surefire way to strengthen your current knowledge or to gain new skills for more deftly and confidently approaching and dealing with math. And it's all available to you in Professor Sellers' engaging course, Mastering the Fundamentals of Mathematics. Using the same inspirational teaching skill and experience he's brought to his other popular Great Courses in math, Professor Sellers reveals the secrets behind all the key math topics you need to know. In 24 lectures packed with helpful examples, practice problems, and guided walkthroughs, you'll finally grasp the all-important fundamentals of math in a way that truly sticks.
Explore All the Essential Areas of Basic Math
Designed for lifelong learners of all ages, Mastering the Fundamentals of Mathematics zeroes in on topics that everyone needs to know:
With each topic, Professor Sellers shows you how to approach, understand, and solve problems of varying complexity. And, later in the course, he offers brief introductions to more advanced areas of math and prealgebra, including
two-dimensional geometry,
elementary number theory, and
basic probability and statistics.
And whether he's discussing the order of operations or introducing you to methods for plotting points on a coordinate plane, Professor Sellers shows that the key to facing down more intimidating math problems is by tapping into basic concepts and calculations you've already mastered. Like an inspirational instructor who only has your success in mind, he reveals how basic math comes together—and even works together—to help you solve problems such as finding the area of a circle or breaking down a complex word problem involving statistics.
Learn Tricks and Shortcuts for Solving Problems
To help you solve problems with greater ease, Mastering the Fundamentals of Mathematics is packed with tips, tricks, techniques, and shortcuts. Here's just a small sampling of what you'll find in this course.
Reducing fractions to their lowest terms: When dealing with fractions in math, you'll often be required to express your answers in the lowest terms to make the fractions easier to understand. So how can you tell when a fraction has been reduced to its lowest term? You'll know because the only divisor or factor that the numerator (top number) and denominator (bottom number) share is 1. For example, the fraction 4/8 is not in its lowest term because both numbers share a factor of 2.
Adding numbers with different signs: What's a less complicated way to solve an addition problem such as 7 + (- 3) without using a number line? First, figure out which number has the larger absolute value (7). Then, subtract the other absolute value from this one (7 – 3 = 4) and attach the sign of the number that had the larger absolute value (4). That's it!
Lining up decimal points: Sometimes, performing calculations with large decimals (such as 153.46 + 5343.3) can be tricky, but the important point is knowing when to align your decimal points. In addition and subtraction problems, it's essential to line up corresponding digits in a right-justified way to get the correct answer; with multiplication and division, however, this alignment is unnecessary.
Calculating tips in your head: Do you always find yourself unsure of how much of a tip to leave? Knowing how to work with percentages and decimals makes it easy. To calculate a 15% tip, take 10% of the bill just by moving the decimal point one place to the left (example: $12.00 would be $1.20). Then, add half of that number ($More_info$.60) to that amount and you've got the answer ($1.80). If you want to leave a 20% tip, take 10% of the bill ($1.20) and just double it ($2.40).
An Interactive, Engaging Way to Learn Math
An added feature of Mastering the Fundamentals of Mathematics is its interactive nature. At specific points in a given lecture, Professor Sellers gives you a problem and invites you to pause the course, try your best to solve the problem, and then continue the course to check youranswer alongside his and chart your personal progress. Oftentimes, Professor Sellers roots his practice problems in everyday scenarios in which you're likely to find yourself, such as paying for groceries and tipping at restaurants.
Plus, he's crafted a free, comprehensive workbook with a complete answer key to go along with his course—one that comes filled with additional practice problems on each topic he covers in the course.
Yet even with its wealth of practice problems and exercises, what makes this course so rewarding is ultimately Professor Sellers himself. As Director of Undergraduate Mathematics at The Pennsylvania State University, he's in the unique position of knowing the specific areas math students have trouble with—and the specific ways to help them over these common hurdles. Calm and clear, this winner of the Teresa Cohen Mathematics Service Award is a constantly encouraging presence who refuses to let you give up and helps you prove to yourself that you can be successful in math.
So whether you're just setting out on your mathematical journey or whether you simply want to rediscover what you've forgotten, you'll find Mastering the Fundamentals of Mathematics to be an invaluable guide to an invaluable subject.
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This course provides a brisk, entertaining treatment of differential and integral calculus, with an emphasis on conceptual understanding and applications to the engineering, physical, and social sciences.
The course provides an introduction to the mathematical analysis and linear algebra. The course starts with the real numbers and the related one-variable real functions by studying limits, and continuity.
M2O2C2 provides a first taste of multivariable differential calculus. By introducing the machinery of linear algebra, this course provides helpful tools for understanding the derivative of a function of many variables.
Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"
Highlights of Calculus is a series of short videos that introduces the basics of calculus, how it works and why it is important. The intended audience is high school students, college students, or anyone who might need help understanding the subject.
Differential equations are, in addition to a topic of study in mathematics, the main language in which the laws and phenomena of science are expressed. In basic terms, a differential equation is an expression that describes how a system changes from one moment of time to another, or from one point in space to another.
Multivariable Calculus is an expansion of Single-Variable Calculus in that it extends single variable calculus to higher dimensions. You may find that these courses share many of the same basic concepts, and that Multivariable Calculus will simply extend your knowledge of functions to functions of several variables.
The main purpose of this course is to bridge the gap between introductory mathematics courses in algebra, linear algebra, and calculus on one hand and advanced courses like mathematical analysis and abstract algebra, on the other hand, which typically require students to provide proofs of propositions and theorems.
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Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, forPc Calculator is a clever note and formula editor combined with an advanced and strong scientific calculator. Being an editor it is extremely user-friendly allowing all possible typing and other errors to be easily corrected and fast recalculated
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Beginning Algebra with Applications and Visualization
The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math ...Show synopsisThe Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question ??? When will I ever use this???? Rockswold teaches students the math in context, rather than including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. The authors believe this approach deepens conceptual understanding and better prepares students for future math courses and life.Hide synopsis
Description:Hardcover. Instructor Edition: Same as student edition with...Hardcover. Instructor Edition: Same as student edition with additional notes or answers. New Condition. SKU: 9780321747969Description:Fine. Hardcover. Instructor Edition: Same as student edition...Fine. Hardcover. Instructor Edition: Same as student edition with additional notes or answers. Almost new condition. SKU: 9780321747969
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You are here
Matrix Inverse Calculator
Nice interactive matrix inverse calculator. User enters elementary row operations and views their effect. All the steps are recorded by the applet and displayed for the user to review. The applet generates new matrices to invert at the push of a button. The operations use only rational numbers. The user cannot enter a matrix to invert.
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CRC Concise Encyclopedia of Mathematics is a compendium of mathematical definitions, formulas, figures, tabulations, and references. Its informal style makes it accessible to a broad spectrum of readers with a diverse range of mathematical backgrounds and interests. This fascinating, useful book draws connections to other areas of mathematics and science and demonstrates its actual implementation - providing a highly readable, distinctive text diverging from the all-too-frequent specialized jargon and dry, formal exposition.Through its thousands of explicit examples, formulas, and derivations, The CRC Concise Encyclopedia of Mathematics gives the reader a flavor of the subject without getting lost in minutiae - stimulating his or her thirst for additional information and exploration.This book serves as handbook, dictionary, and encyclopedia - extensively cross-linked and cross-referenced, not only to other related entries, but also to resources on the Internet. Standard mathematical references, combined with a few popular ones, are also given at the end of most entries, providing a resource for more reading and exploration.
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0321387007
9780321387004
A History of Mathematics: Key Message: A History of Mathematics, Third Edition, provides a solid background in the history of mathematics, helping readers gain a deeper understanding of mathematical concepts in their historical context. This book's global perspective covers how contributions from Chinese, Indian, and Islamic mathematicians shaped our modern understanding of mathematics. This book also includes discussions of important historical textbooks and primary sources to help readers further understand the development of modern mathematics. Key Topics: Ancient Mathematics: Egypt and Mesopotamia, The Beginnings of Mathematics in Greece, Euclid, Archimedes and Apollonius, Mathematical Methods in Hellenistic Times, The Final Chapter of Greek Mathematics; Medieval Mathematics: Ancient and Medieval China, Ancient and Medieval India, The Mathematics of Islam, Medieval Europe, Mathematics Elsewhere; Early Modern Mathematics: Algebra in the Renaissance, Mathematical Methods in the Renaissance, Geometry, Algebra and Probability in the Seventeenth Century, The Beginnings of Calculus, Newton and Leibniz; Modern Mathematics: Analysis in the Eighteenth Century, Probability and Statistics in the Eighteenth Century, Algebra and Number Theory in the Eighteenth Century, Geometry in the Eighteenth Century, Algebra and Number Theory in the Nineteenth Century, Analysis in the Nineteenth Century, Probability and Statistics in the Nineteenth Century, Geometry in the Nineteenth Century, Aspects of the Twentieth Century Market: For all readers interested in the history of mathematics.
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Rent A History of Mathematics 3rd edition today, or search our site for Victor J. textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Pearson.
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A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific CalculatorPrecision 54 54 digits. Trigonometric, hyperbolic and inverse functions.
A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific CalculatorPrecision 63 Prebult Common Costants list with fundamental constants. Unlimited User Constants list.
A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific CalculatorPrecision combinatorial functions.
A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific CalculatorPrecision 36 36 digits. Trigonometric, hyperbolic, inverse and combinatorial functions.
A handy, fast, reliable, precise tool if you need to perform complex mathematical calculations Scientific CalculatorPrecision combinatorial functions.
Karen's Calculator is a high-precisioncalculator. Unlike ordinary calculators, it returns completely accurate results, even with operands containing thousands of Digits. If you're patient, operands and results containing hundreds of thousands of digits are possble too!
Most calculators are only accurate when dealing with numbers containing a few digits -- usually 16 to 32. When asked to calculate using larger numbers, they either fail (displaying an error) or return results that are only approximately accurate.
SCX is a general-purpose high-precisioncalculator drop-in replacement for the built-in Palm calculator.
A programmable graphics calculator which lets you visualize expressions and formulas as graphs in a chart and can also create video clips from graphs. GraphiCal has over 50 built-in mathematical functions, can integrate and find roots and extrema. It is programmable, offers user defined variables and functions, programming interfaces for VB and VC and a very user-friendly graphics system..
Farsight Calculator,such as "Finance box","date calculations" and "Unit convertor" etc.16X is high resolution programmable timer software. It controls 16 Features: Support Network and Com Port connection between PC and relay board. Detect connection status between PC and relay board continuously. Remind after disconnection and recover after reconnection automatically.
HiDigit is a new calculating software with extended capabilities. This is an essential application for math, algebra, calculus, geometry, physics and engineering students. The main advantage of the software is a simple input format even for the most complicated formulas. For example, you can enter 10pi instead of "10*pi". For complex numbers, you can use the following format - "1+2i". For percentages - "number + %". The other important feature of HiDigit is its highprecision - up to 15 decimals.
AresCalc AresCalc contains a set of powerful tools,such as "Finance box","date calculations" and "Unit convertor" etc.
Main Features
1ird
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Features detailed explanations and solutions to every sixth exercise in the text. Includes helpful hints and strategies for studying in this course. In addition, Visual Calculus, the popular, easy-to-use software for IBM compatible computers is included.
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Chapter Zero Fundamental Notions of Abstract Mathematics
9780201437249
ISBN:
0201437244
Edition: 2 Pub Date: 2000 Publisher: Addison-Wesley
Summary: Chapter Zero is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which students construct their own understandings. However, while students are called upon to write their own proofs, they are also encouraged to work in groups. There are few finished proofs contained in the text, but the author offers proof ske...tches and helpful technique tips to help students as they develop their proof writing skills. This book is most successful in a small, seminar style class.
Schumacher, Carol is the author of Chapter Zero Fundamental Notions of Abstract Mathematics, published 2000 under ISBN 9780201437249 and 0201437244. Five hundred forty eight Chapter Zero Fundamental Notions of Abstract Mathematics textbooks are available for sale on ValoreBooks.com, one hundred sixteen used from the cheapest price of $39.80, or buy new starting at $95.33.[read more]
Ships From:Multiple LocationsShipping:Standard, ExpeditedComments:RENTAL: Supplemental materials are not guaranteed (access codes, DVDs, workbooks). 018 Item is intact, but may show shelf wear. Pages may include notes and highlighting. May or may... [more]RENTAL: Supplemental materials are not guaranteed (access codes, DVDs, workbooks).018 Item is intact, but may show shelf wear. Pages may include notes and highlighting. May or may... [more] book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach [more]
This book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which readers construct thei
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More About
This Textbook
Overview
From its history as an elegant but abstract area of mathematics, algebraic number theory now takes its place as a useful and accessible study with important real-world practicality. Unique among algebraic number theory texts, this important work offers a wealth of applications to cryptography, including factoring, primality-testing, and public-key cryptosystems.
A follow-up to Dr. Mollin's popular Fundamental Number Theory with Applications, Algebraic Number Theory provides a global approach to the subject that selectively avoids local theory. Instead, it carefully leads the student through each topic from the level of the algebraic integer, to the arithmetic of number fields, to ideal theory, and closes with reciprocity laws. In each chapter the author includes a section on a cryptographic application of the ideas presented, effectively demonstrating the pragmatic side of theory.
In this way Algebraic Number Theory provides a comprehensible yet thorough treatment of the material. Written for upper-level undergraduate and graduate courses in algebraic number theory, this one-of-a-kind text brings the subject matter to life with historical background and real-world practicality. It easily serves as the basis for a range of courses, from bare-bones algebraic number theory, to a course rich with cryptography applications, to a course using the basic theory to prove Fermat's Last Theorem for regular primes. Its offering of over 430 exercises with odd-numbered solutions provided in the back of the book and, even-numbered solutions available a separate manual makes this the ideal text for both students and instructors.
Editorial Reviews
Booknews
Provides a global approach to the subject, leading readers through algebraic numbers, the arithmetic of field numbers, ideal theory, ideal decomposition in extension fields, and reciprocity laws. Each chapter includes a section on a cryptographic application of ideas presented, demonstrating the pragmatic side of theory. Engages readers by offering a historical perspective through the lives of mathematicians who played key roles in developing algebraic number theory. Includes chapter exercises, and background appendices. For a course for senior undergraduate and beginning graduate students
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Find a Collingdale can provide that. A continuation of Algebra 1 (see course description). Use of irrational numbers, imaginary numbers, quadratic equations, graphing, systems of linear equations, absolute values, and various other topics. May be combined with some basic geometry.
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Microsoft Mathematics provides a set of mathematical tools that help students get school work done quickly and easily. With Microsoft Mathematics, students can learn to solve equations step-by-step while gaining a better understanding of fundamental concepts in pre-algebra, algebra, trigonometry, physics, chemistry, and calculus. Microsoft Mathematics includes a full-featured graphing calculator that's designed to work just like a handheld calculator. Additional math tools help you evaluate triangles, convert from one system of units to another, and solve systems of equations.
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Poems sometimes have interesting connections to mathematics, either because of mathematical imagery in the poem or because of mathematics in the structure of the poem (word or syllable counts or shape). This article explores some of these connections
In this article we use Java applets to interactively explore some of the classical results on approximation using Chebyshev polynomials. We also discuss an active research area that uses the Chebyshev polynomials.
The Chebyshev equioscillation theorem is of great importance in polynomial approximation, but is usually omitted from the undergraduate numerical analysis course. Our aim in this paper is to use applets to motivate and illustrate the proof.
Our purpose in this descriptive, exploratory study is to report on our efforts in conducting a cyber tutoring project that combined two curricular domains ---- mathematics education and engineering education.
This Developers' Area article presents a five-step procedure to help authors construct mathlets in Excel. The procedure is demonstrated with a mathlet that shows the tangent line to the graph of a function.
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INTERMEDIATE ALGEBRA
COURSE DESCRIPTION:
Intermediate Algebra expands on the mathematical content of Basic Algebra. Emphasis will be on functions and algebraic solutions to various types of problems. Abstract thinking skills (including some proofs, and the notion of 'generality of a statement') will be introduced and cultivated.
COURSE OBJECTIVES:
After completing the course, students will be able to:
Be conversant with a number of mathematical topics (see the Course Description for a list of these topics)
Have enough computational skill with each topic that they will be able to correctly apply that skill whenever such skill is required in a subsequent mathematics course
Come away with an understanding and appreciation of where the topics arise in real world applications
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The basic concepts behind sizing systems currently used in the manufacture of ready-to-wear garments were originally developed in the nineteenth century. These systems are frequently based on outdated anthropometric data, they lack standard labelling...
What you'll find here is a fascinating compendium of fundamental problem formulations of analog design centering and sizing. This essential work provides a differentiated knowledge about the tasks of analog design centering and sizing. In particular,...
Expert teachers share a wealth of classroom-tested lessons that help students understand why and how to measure, focusing on concepts important to the middle school math curriculum, including length, area, volume, ratio and rates, similarity, and...
Expert teachers share a wealth of classroom-tested lessons that help students understand why and how to measure length, area, capacity, weight, time, and temperature. The book provides engaging real-world contexts to help students understand what it...
Expert teachers share a wealth of classroom-tested lessons that help students understand why and how to measure length, area, volume, weight, time, temperature, and angles. The book provides engaging real-world contexts to help students understand
Many people have had the frustrating experience of ordering shoes online, only to find that the shoes do not fit their feet correctly. The shoes may be the same size and width that the buyer has always wears,...
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Intermediate Algebra - 3rd edition
Summary: KEY BENEFIT:Intermediate Algebra, Third Edition, by Tom Carson, addresses two fundamental issues-individual learning styles and student comprehension of key mathematical concepts-to meet the needs of today's students and instructors.Carson's Study System, presented in the ldquo;To the Studentrdquo; section at the front of the text, adapts to the way each student learns to ensure their success in this and future courses. The consistent emphasis on thebig picture of algebra, with pedag...show moreogy and support that helps students put each new concept into proper context, encourages conceptual understanding. KEY TOPICS: Real Numbers and Expressions; Linear Equations and Inequalities in One Variable; Equations and Inequalities in Two Variables and Functions; Systems of Linear Equations and Inequalities; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Equations; Rational Exponents, Radicals, and Complex Numbers; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections MARKET:3143.2516
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This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra and numerical analysis. Most of the papers include recent results in the respective subjects. However, there are some papers of an expository nature.
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Site Feedback
IIURL Information
Site owners
jhasenbank
Jennifer Kosiak
Robert H. Hoar
Robert Hoar
PPST Math Content
Welcome to the IIURL's PPST Mathematics Site
The UW System Institute for Innovation in Undergraduate Research and Learning (IIURL) has developed this site to share a collection of digital learning objects (LOs). These materials are designed to prepare educators for the
Pre-Professional Skills Test in Mathematics by helping to develop a deeper understanding of the mathematics
.
According to published materials describing the PPST:
The Pre-Professional Skills Test in Mathematics measures those mathematical skills and concepts that an educated adult might need. It focuses on the key concepts of mathematics and on the ability to solve problems and to reason in a quantitative context. Many of the problems require the integration of multiple skills to achieve a solution.
The test questions are from four content categories: number and operations, algebra, geometry and measurement, and data analysis and probability.
Computation is held to a minimum, and few technical words are used. Terms such as area, perimeter, ratio, integer, factor, and prime number are used because it is assumed that these are commonly encountered in the mathematics all examinees have studied. Figures are drawn as accurately as possible and lie in a plane unless otherwise noted.
In this E-Study Guide you will find digital materials clustered into the following domain or content areas:
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Elements of Modern Algebra - 7th edition
Summary: Helping to make the study of modern algebra more accessible, this text gradually introduces and develops concepts through helpful features that provide guidance on the techniques of proof construction and logic analysis. The text develops mathematical maturity for students by presenting the material in a theorem-proof format, with definitions and major results easily located through a user-friendly format. The treatment is rigorous and self-contained, in keeping with...show more the objectives of training the student in the techniques of algebra and of providing a bridge to higher-level mathematical23 +$3.99 s/h
Acceptable
Campus_Bookstore Fayetteville, AR
Used - Acceptable Hardcover. TEXTBOOK ONLY! WATER DAMAGED! 7th Edition Not perfect, but still usable for class. Ships same or next day. Expedited shipping takes 2-3 business days; standard shipping ta...show morekes 4-14 business days. ...show less
$11.23
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Math Program
Updated July 2013
Catlin Gabel School
Middle School Math Program Explanation
July 2013
The purpose of this explanation is to clarify the flow of the Middle School math program. It reflects ongoing changes made in the math curriculum to better meet the needs of our students. In many ways, this fall, 2013-2014, will be a transition year for many students as we prepare to offer algebra over the course of two years in the Middle School. It includes course descriptions, information on how placement decisions are made, and indicates how the progression of math classes occurs.
We believe building a strong algebra foundation is essential for success in subsequent mathematics courses. Algebra is one of the critical junctions in math curriculum because it demands the ability to think abstractly. It is the turning point from using arithmetic skills (concrete thinking) to solve basic math problems with specific numeric values, to creating generalized formulas for equations that use variables (abstract thinking). Abstract reasoning and analytical thinking involve building rules to represent functions by recognizing patterns and organizing data, reversibility and working backwards, and abstracting from computation. Students entering the Upper School as freshmen that do not demonstrate this foundation of knowledge will find themselves struggling when they take later courses. Therefore, all Middle School math courses focus on skill-building, problem-solving, and algebraic thinking, as we know these are the critical elements of a strong mathematics foundation.
Courses this Fall- 2013-2014
Year One
Algebra 2/Geometry
Pre-Algebra
Algebra 1
Year One
Algebra 2/Geometry taken in Upper School
Year Two, Algebra 2/Geometry
Courses next Fall- 2014-2015B
Year One
Algebra 2/Geometry
Pre-Algebra
Algebra 1
Year One
Algebra 2/Geometry taken in Middle School
Year Two
Algebra 2/Geometry
What is Math 6?
Math 6 is a course designed to solidify, strengthen, and deepen foundational math skills. In addition, the course emphasizes creative problem-solving strategies and generalizing patterns to push the growth of each student's abstract thinking and logical reasoning ability. The beginning of algebraic thinking is woven throughout the curriculum. The students are also introduced to computer programming during our gender-based grouping.
What is Pre-Algebra?
Pre-Algebra is a very broad term used to describe courses that prepare students for the study of algebra. This course includes topics that involve arithmetic review and the introduction of skills and concepts for algebra, geometry, and statistics. Our program emphasizes mastery of the facts and skills of mathematics and the development of abstract concepts, logical reasoning, and application of skills through problem-solving challenges.
What is Algebra 1?
Algebra courses vary greatly from one school to another in terms of their depth and rigor. At Catlin Gabel, our vigorous program emphasizes abstract thinking and logical reasoning. Topics covered in algebra include evaluation and simplification of algebraic expressions, solving and graphing linear equations, linear systems, operations with polynomials, radical and rational expressions, and factoring. Four dimensions of understanding are emphasized to maximize performance: skill in carrying out various algorithms; developing and using mathematics properties and relationships; applying mathematics in realistic situations; and representing or picturing mathematical concepts.
What is Algebra 1A?
This course was designed to allow students to complete the study of Algebra over two years to ensure a thorough understanding of the topics and to build a strong foundation for higher-level mathematics. Algebra 1A is the first of this two-year course. We believe the shift to algebra over the course of two years will allow for students to solidify conceptual understanding, as well as apply their learning through ongoing problem solving.
What is Algebra 1B?
Algebra 1B is the second year of this two-year course.
How are math placements decided?
We strive to place students in a class that will meet their individual needs as learners. Although there are courses and typical math paths, we recognize that students change, mature, develop more abstract reasoning and improve their critical thinking abilities, hence a student may be moved up or down over the course of the year to best serve their learning needs.
In 6th grade, the first weeks of school are used to assess each student's basic math skills, abstract thinking, problem-solving ability, and spatial reasoning. Several placement assessments are used during this time, including 5th grade teacher input, pre-algebra readiness assessments, baseline exams, and teacher observations. The great majority of the students are placed in Math 6, a vigorous math curriculum reviewing and solidifying elementary math skills, deepening the conceptual understanding of these topics, extending these skills to more complex number sets, and exploring new topics. Students who demonstrate abstract thinking and mastery of elementary math will place into a Pre-Algebra course to best challenge them and meet their learning needs.
Between 6th and 7th grades, students are further grouped. They are grouped by math proficiency as well as pace of learning. For our current students, placement into 7th grade math classes happens at the end of 6Between 7th and 8th grades, the groups continue along the same lines as 7Is there movement of students during the course of the year?
If a teacher assesses a student is not able to meet the expectations of a course or is far exceeding the expectations of a course, the student will be moved to a more appropriate placement.
What if I have questions about my child's math placement?
Parents are always welcome to directly contact their child's math teacher, or Barbara, to discuss placement decisions and their child's math progress.
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Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition)
9780321756664
ISBN:
0321756665
Edition: 11 Pub Date: 2012 Publisher: Addison Wesley
Summary: This is the leading textbook for students learning how to teach mathematics to elementary school students, focusing on problem solving. It remains current with its discussion of standards in teaching today and it teaches students the value of professional development for their future careers. It encourages active learning and provides many exercises, study tools and opportunities for active learning. Students will ga...in valuable insight into how they can apply their mathematics and teaching knowledge in the classroom. We offer many high quality discounted mathematics textbooks to buy or rent by semester.
Rick Billstein is the author of Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition), published 2012 under ISBN 9780321756664 and 0321756665. Seven hundred sixty four Problem Solving Approach to Mathematics for Elementary School Teachers, A (11th Edition) textbooks are available for sale on ValoreBooks.com, one hundred ninety seven used from the cheapest price of $87.89, or buy new starting at $127. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
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97805218030 Complex Variables for Scientists and Engineers
This introduction to complex variable methods for scientists and engineers begins by carefully defining complex numbers and analytic functions and then offers accounts of complex integration, Taylor series, singularities, residues, and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The book emphasizes the importance of understanding the use of methods, rather than on rigorous proofs. The book's devotion to applications of the material to physical problems will appeal to scientists. Example applications include detailed treatments of potential theory, hydrodynamics, electrostatics, gravitation and the uses of the Laplace transform for partial differential equations. With 300 stimulating exercises and solutions it will be highly suitable for students wishing to learn the elements of complex analysis in an applied context
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16889184School Textbooks & Study Guides
Publication Year:
04/09/2001
Subject 2:
School Textbooks & Study Guides: Maths, Science & Technical
Format:
Paperback
Age Level:
14-16
Series:
Success Guides
Educational Level:
UK School Key Stage 4
Language:
English
ISBN:
9781858059884
Detailed item information
Description
This is a learning/revision tool designed to help students remember key information for GCSE maths higher. Each topic is presented on a double page spread using diagrams with integrated text, spider diagrams, mind maps and flow charts. It also contains graded GCSE-style questions.
Key Features
Publisher
Letts Educational
Date of Publication
04/09/2001
Language(s)
English
Format
Paperback
ISBN-10
1858059887
ISBN-13
9781858059884
Genre
School Textbooks & Study Guides: Maths, Science & Technical
Series Title
Success Guides
Publication Data
Place of Publication
London
Country of Publication
United Kingdom
Imprint
Letts Educational
Out-of-print date
09/08/2008
Content Note
diagrams and charts
Dimensions
Weight
357 g
Width
211 mm
Height
297 mm
Pagination
112
Age Details
Educational Level
UK School Key Stage 4
Reading Age
From 14 to 16
Interest Age
14-16
| 677.169 | 1 |
books.google.com - A... High School First Course in Euclidean Plane Geometry
A High School First Course in Euclidean Plane Geometry(Google eBook)
A postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book. REVIEW by Bill Fredrick The best geometry textbook I have read during my thirty years of teaching. It is truly a first course at the high school level. I strongly recommend it to all geometry teachers and students. It is concise and to the point just as the author describes it in the introduction. The clarity and conciseness of the text are rare in geometry textbooks at the high school level. Many theorems in so many geometry textbooks are wrongly cited as postulates. They are actually theorems in their own right with complete proofs in this book. * The elegance and simplicity of the cover page mirror the content of the book. I haven t been teaching geometry for the past few years, but I read the book by sheer curiosity. One thing included in the book that I have not seen in other books is a unique Preface. The thorough instructions about how to study geometry will be valuable to all students, including home schoolers and other independent learners. If I am asked to teach high school geometry again I will follow those instructions. * The theorems are clearly proven following a new pedagogical approach. The proofs are followed by nicely detailed solutions illustrating how to solve proof problems using the theorems. * The problems at the end of the chapters are pedagogically laid out in construction, computational, and proof problems. The book is well illustrated with simplified real world problems. The engineering design problems are wonderful. Most of all, this is a plain geometry textbook without pork. I rate it an excellent geometry first course at the high school level. * According to the author, the book has two companions, a solutions manual which contains detailed solutions of all the problems in the book and a package of power point presentations for the geometric construction problems. Both of these would be excellent resources for all users of the book.
| 677.169 | 1 |
Algebra 1
9780078738227
ISBN:
0078738229
Pub Date: 2007 Publisher: McGraw-Hill Higher Education
Summary: THE PROGRAM STUDENTS NEED; THE FOCUS TEACHERS WANT! "Glencoe Algebra 1" is a key program in our vertically aligned high school mathematics series developed to help all students achieve a better understanding of mathematics and improve their mathematics scores on today's high-stakes assessments.
McGraw-Hill Staff is the author of Algebra 1, published 2007 under ISBN 9780078738227 and 0078738229. Five hundred ...thirty seven Algebra 1 textbooks are available for sale on ValoreBooks.com, three hundred thirty six used from the cheapest price of $8.49, or buy new starting at $34
| 677.169 | 1 |
Presentation Transcript
NUMERICAL METHODS :
NUMERICAL METHODS/ANALYSIS :
NUMERICAL METHODS/ANALYSIS IT IS THE DEVELOPMENT & STUDY OF PROCEDURES FOR SOLVING PROBLEMS WITH A COMPUTING INSTRUMENT OR COMPUTER.
ALGORITHM :
ALGORITHM IT IS USED FOR A SYSTEMATIC PROCEDURE THAT SOLVES A PROBLEM OR A NUMBER OF PROBLEMS.
ITS EFFICIENCY MAY BE MEASURED BY THE NUMBER OF STEPS IN THE ALGORITHM, THE COMPUTER TIME, AND THE AMOUNT OF MEMORY (OF THE COMPUTING INSTRUMENT) THAT IS REQUIRED.
NOTE AND UNDERSTAND :
NOTE AND UNDERSTAND THE MAJOR ADVANTAGE OF NUMERICAL ANALYSIS IS THAT A NUMERICAL VALUE CAN BE OBTAINED EVEN WHEN THE PROBLEM HAS NO "ANALYTICAL" SOLUTION.
THE MATHEMATICAL OPERATIONS REQUIRED (GENERALLY) ARE ESSENTIALLY ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION PLUS MAKING COMPARISONS.
NOTE AND UNDERSTAND :
NOTE AND UNDERSTAND IT IS IMPORTANT TO REALIZE THAT A NUMERICAL ANALYSIS SOLUTION IS ALWAYS NUMERICAL.
ANALYTICAL METHODS, ON THE OTHER HAND, USUALLY GIVE A RESULT IN TERMS OF MATHEMATICAL FUNCTIONS THAT CAN THEN BE EVALUATED FOR SPECIFIC INSTANCES.
NOTE AND UNDERSTAND :
NOTE AND UNDERSTAND NUMERICAL ANALYSIS IS AN APPROXIMATION, BUT RESULTS CAN BE MADE AS ACCURATELY AS DESIRED.
TO ACHIEVE HIGH ACCURACY, NUMEROUS SEPARATE OPERATIONS MUST BE CARRIED OUT, BUT CURRENT COMPUTERS DO THEM SO RAPIDLY WITHOUT EVER MAKING MISTAKES.
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO :
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO SOLVE FOR THE ROOTS OF A NON-LINEAR EQUATION.
SOLVE FOR LARGE SYSTEMS OF EQUATIONS.
GET THE SOLUTIONS OF A SET OF NON-LINEAR EQUATIONS.
INTERPOLATE TO FIND THE INTERMEDIATE VALUES WITHIN A TABLE OF DATA.
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO :
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO FIND EFFICIENT & EFFECTIVE APPROXIMATIONS OF FUNCTIONS.
APPROXIMATE DERIVATIVES OF ANY ORDER FOR FUNCTIONS EVEN WHEN THE FUNCTION IS KNOWN ONLY AS A TABLE OF VALUES.
INTEGRATE ANY FUNCTION EVEN WHEN IT IS KNOWN ONLY AS A TABLE OF VALUES.
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO :
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO SOLVE ORDINARY DIFFERENTIAL EQUATIONS WHEN GIVEN INITIAL VALUES OR CONDITIONS FOR THE VARIABLES.
THESE CAN BE OF ANY ORDER &/OR COMPLEXITY.
SOLVE BOUNDARY-VALUE PROBLEMS & DETERMINE EIGENVALUES & EIGENVECTORS.
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO :
SOME OPERATIONS THAT NUMERICAL ANALYSIS CAN DO OBTAIN NUMERICAL SOLUTIONS OF ALL TYPES OF PARTIAL DIFFERENTIAL EQUATIONS.
FIT CURVES TO DATA BY A VARIETY OF METHODS STATE THE PROBLEM CLEARLY, INCLUDING ANY SIMPLIFYING ASSUMPTIONS.
DEVELOP A MATHEMATICAL STATEMENT OF THE PROBLEM IN A FORM THAT CAN BE SOLVED FOR A NUMERICAL ANSWER THIS PROCESS MAY INVOLVE, AS IN THE PRESENT CASE, THE USE OF CALCULUS. IN OTHER SITUATIONS, OTHER MATHEMATICAL PROCEDURES MAY BE EMPLOYED.
WHEN THIS STATEMENT IS A DIFFERENTIAL EQUATION, APPROPRIATE INITIAL CONDITIONS AND/OR BOUNDARY CONDITIONS MUST BE SPECIFIED SOLVE THE EQUATIONS THAT RESULT FROM STEP #2.
SOMETIMES THE METHOD WILL BE ALGEBRAIC, BUT FREQUENTLY MORE ADVANCED METHODS WILL BE NEEDED.
THE RESULT OF THIS STEP IS A NUMERICAL ANSWER OR SET OF ANSWERS INTERPRET THE NUMERICAL RESULT TO ARRIVE AT A DECISION.
THIS WILL REQUIRE EXPERIENCE & AN UNDERSTANDING OF THE SITUATION IN WHICH THE PROBLEM IS EMBEDDED.
THEORETICAL MATTERS :
THEORETICAL MATTERS ANY USER OF MATHEMATICAL PROCEDURES SHOULD ALWAYS BE CONCERNED WITH ITS THEORETICAL UNDERPINNINGS BECAUSE THESE EXPLAIN THE LIMITATIONS OF THE PROCEDURES TO PRODUCE THE RELIABLE RESULTS.
WHEN THEORY IS TO BE DISCUSSED, TWO QUESTIONS ARISE: :
WHEN THEORY IS TO BE DISCUSSED, TWO QUESTIONS ARISE: WHERE DO WE START?
WHAT BACKGROUND IS ASSUMED?
DOES EVERY DEFINITION &/OR POSTULATE HAVE TO BE STATED OR CITED BEFORE PERTINENT THEOREMS ARE DEVELOPED?
WHEN THEORY IS TO BE DISCUSSED, TWO QUESTIONS ARISE: :
WHEN THEORY IS TO BE DISCUSSED, TWO QUESTIONS ARISE: 2. HOW ARE THE THEOREMS PRESENTED?
IS IT BETTER TO USE THE RATHER CONDENSED NOTATIONS OF MATHEMATICIANS & THEIR SPECIAL SYMBOLS, OR TO USE LANGUAGE & STYLE THAT IS MORE ACCESSIBLE TO THE AVERAGE PERSON UNDER WHAT CONDITIONS DOES THE METHOD APPLY?
FOR WHAT KINDS OF FUNCTIONS DO THE METHOD WORK AND HOW CAN WE KNOW THAT THE CONDITIONS ARE SATISFIED 2. DOES THE METHOD CONVERGE?
DO THE SUCCESSIVE APPROXIMATIONS REACH THE TRUE ANSWER TO A GIVEN ACCURACY WHAT BOUNDS CAN BE PLACED ON THE ERROR OF EACH ESTIMATE?
CAN WE KNOW IN ADVANCE THE MAXIMUM SIZE OF THE ERROR AFTER A CERTAIN HOW RAPIDLY DO THE ERRORS OF THE SUCCESSIVE ESTIMATES DECREASE?
DO ERRORS DECREASE PROPORTIONALLY TO THE IS THE ACCURACY IMPROVED MORE RAPIDLY (EXPONENTIALLY) RATHER THAN LINEARLY? (MOST DESIRABLE SITUATION)
HOW ACCURATELY DO WE KNOW THE ERROR?
| 677.169 | 1 |
Mathematics and Statistics for the Life Sciences Assuming no previous knowledge of statistics or mathematical skills, we aim to bring students to the point where they may confidently apply basic mathematical and statistical technicques to their own data and understand such applications.
A History of Mathematics from Euclid to Weiss We cover some of the key developments, moments, and personalities in the creation of mathematics over the last two thousand years. We start with a look at Greek mathematicians, following on with Pascal, Descates, Newton and Gauss.
| 677.169 | 1 |
Advanced Engineering Mathematics with MATLAB - 2nd edition
Summary: Advanced Engineering Mathematics using MATLAB® underlying philosophy of the book is: "The purpose of computing is insight, not numbers." The book features co...show moremplete MATLAB integration throughout, abundant examples that show real practical applications, and end-of-chapter problems that reinforce techniques
| 677.169 | 1 |
Precalculus - With 2 CDS - 4th edition
Summary: Bob Blitzer's background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of mathematics is just the first step. Blitzer draws students in with applications that use math to solve real-life problems.20 +$3.99 s/h
Acceptable
CampusBookRentals Ogden, UT
Upper Saddle River, NJ 2009 Other 4th ed. Fair.
$16.39 +$3.99 s/h
Good
SellBackYourBook Aurora, IL
0321559843 Item in good condition. 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!!
$201559845-5-0
$20.9727.97 +$3.99 s/h
Good
Nivea Books Lynnwood, WA
Hardcover Good 0321559843 Used copy, without any marks or highlights. 2 of 2 CDs included. Has extensive shelf wear on covers. Might have several pages with tears This is Student US Edition. Same d...show moreay shipping with free tracking number. Expedited shipping available. A+ Customer Service! ...show less
$29.03 +$3.99 s/h
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newrecycleabook centerville, OH
0321559843 -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
$31.38 +$3.99 s/h
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txtbroker Murfreesboro, TN
Worn, but functional 4th Edition. Used - Acceptable. Used books do not include online codes or other supplements unless noted. Choose EXPEDITED shipping for faster delivery! r
$33.99 +$3.99 s/h
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walker_bookstore tempe, AZ
0321559843 WE HAVE NUMEROUS COPIES -HARDCOVER moderate/heavy wear to cover,edges, and corners - has cardboard showing on
| 677.169 | 1 |
Moran/Davis/Murphy's text implements a modern approach to teaching precalculus by heavily emphasizing contexts in which mathematics can be used to solve real-world problems, and through active involvement of the student in the learning process. Students are asked to answer questions and discover ideas throughout the body of the text, and to explore mathematical concepts in group lab projects. It employs a lively, fun writing style to communicate concepts to students in a way that can be easily understood. Graphing utilities are thoroughly integrated into the text, and their use is required. Users and reviewers have given this text high acclaim for its fresh applications, projects, and wonderful use of the discovery approach.
| 677.169 | 1 |
North Central College Professor of Mathematics Richard Wilders and Professor of Music Larry Van Oyen publish article on art and transformations in math class.
Lawrence Van Oyen (photo, right), professor of music, and Richard Wilders (left), Marie and Bernice Gantzert Professor in the Liberal Arts and Sciences and professor of mathematics, had their co-authored article, "Turning Students into Symmetry Detectives," published in the September issue of Mathematics Teaching in the Middle School, a publication of the National Council of Teachers of Mathematics. The article discusses how the mathematical concept of symmetry can be used to analyze certain kinds of art.
C.J. started at North Central planning to double-major in chemistry and physics. He earned a Dr. Robert H. Good Scholarship for physics majors, one of many scholarships available to North Central students.
As a freshman, he found he was "terrible in the chem lab" but loved problem-solving in physics. So he changed his second major from chemistry to applied mathematics.
His sophomore year, C.J. took two classes with less than seven students and liked that professors devote personal attention to students, no matter the class size.
"You can talk to the professors any time, even if you don't have that professor for a current class. They work with you to make sure you have what you need for the course."
C.J. enjoyed working as a lab assistant during the College's Summer Undergraduate Research Colloquium and looks forward to conducting additional research with a professorDec. 9, 2010—North Central College will host a testing site for the American Mathematics Contest 10 and 12 (AMC 10 and AMC 12) on Feb. 23. These contests are the premier high school examinations in mathematics.
Murawska presents workshop to math teachers
Michelle investigated all that North Central's math department had to offer before she declared her major. "Having a close relationship with my professors helped me find just what I was looking for," she recalls. "Professor (Linda) Gao told me about the applied math major and I realized that's what I needed for working in a business setting."
Michelle appreciates the major's focus on solving real-life problems and looks forward to studying econometrics, which uses statistical methods and empirical data to test economic models. "Applied math is perfect for me," she says. "Plus I can still consider graduate school in statistics or economics down the road," she says.
| 677.169 | 1 |
Differential Equations
9780495012658
ISBN:
0495012653
Edition: 3 Pub Date: 2005 Publisher: Thomson Learning
Summary: Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topi...cs that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.
Devaney, Robert L. is the author of Differential Equations, published 2005 under ISBN 9780495012658 and 0495012653. One hundred twenty Differential Equations textbooks are available for sale on ValoreBooks.com, and nineteen used from the cheapest price of $8edited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
| 677.169 | 1 |
High School Math Made Simple" tackles the math concepts that form the foundations of secondary and higher education in this third edition. The book includes chapters on essential math skills (pre-algebra), algebra 1, geometry, algebra 2, trigonometry, pre-calculus, calculus and statistics. High School Math Made Simple is full of examples and exercises. The book was written using the principles and standards for school mathematics published by the National Council of Teachers of Mathematics (NCTM). These standards are the cornerstone of basic math principles that ensure the highest quality of learning for students. The rear of the book includes a Scope and Sequence of our content to NCTM's guidelines.
Most Helpful Customer Reviews
Pros: Tutor in a book - I have taught and tutored high school and college students in various topics such as algebra, calculus, statistics, probability, engineering, etc. for the past seven years. During this time I have come across a variety of books. Many of them are popular among students but in my opinion they are just a collection of solved problems and unsolved exercises. Even the solved problems leave students guessing about intermediate steps. No book in my opinion has so far made a sincere effort to help students develop the concepts of mathematics by guiding them in a step - by - step hands on approach. And this is where this book steps in. It solves the problems in elementary steps and in the process explains the concept very coherently. It is a tutor in a book!
Arsenal of solutions - The authors seem to have done research on various types of problems which generally show up on tests and board exams and they have produced a detailed solution mechanism for each problem type. So, this does help students develop an arsenal of solutions to deal with different kinds of problems he/she might encounter on tests. Let's be honest here, at the high school level there are not infinite types of problems. Hence, to a certain extent Dr. Monroe's book has solved the ubiquitous uncertainty about different popular forms in which problems can show up on the exam.
Variety of topics - Even though this is pretty much standard for all books, I like the organization of this book as far as presenting the topics is concerned. Dr. Monroe has tried to build up the students skills in a highly structured manner.Read more ›
This book should act as a supplement to your studying. Certain sections are quite thorough, while others only provide quick refreshers. Here is my take on each section:
Essential Math Skills - This is a good, quick introduction to basic math skills, but I don't think that it will be useful for a high school student. Upon entering high school, a student should have mastered such topics as fractions and integers, and if he or she hasn't, then he or she is in trouble.
Algebra I - You are inundated with information in this section, and although the explanations are clear, there are not enough examples.
Algebra II - Dr. Monroe provides plenty of examples, and her step-by-step method of solving them is very clear and helpful. I liked how she details the four ways to solve systems of linear equations.
Geometry - This chapter does not cover geometric proofs, which are fundamental to the subject.
Trigonometry - A section on vectors would have been useful. Also, Dr. Monroe could have provided general instruction on how to use a graphing calculator to graph functions.
Pre-Calculus - I liked the inclusion of word problems, which are sometimes left out in similar study aides. The chapter does lack sections on limits and polar coordinates.
Calculus - This section could have been broadened to include more topics and flesh out certain concepts. It should be used only for a basic review of derivatives and integrals.
Statistics - The section on Probability is very limited, and Probability is an integral part to the study of Statistics.
This book is a summary of topics. Don't buy this book if you are looking for exercises and extend explanations.
It covers a lot, but as I said ... once I got lost in one topic due to the brief explanation ... I was done!
I had to look for other resources to see if I could understand. To me this book is more of a guide for professors and people that already know the topics than for somebody who is trying to learn by themselves.
I'm only into the Exponential Functions section, but I must say, there are a few typos and incorrect formulas that made it necessary to consult online help. On the bright side, I discovered purplemath.com which is an excellent place to correct the mistakes in the book. To be more precise, the formulas for parabolas and ellipses were wrong. Also, the formula for the quotient rule of exponential equations was wrong...had to look them up. So, although I'm enjoying relearning math after many years out of high school, I must give this caveat: Pay close attention to what's written because, so far, there are some mistakes. Do I recommend this book ? Yes...but watch for the mistakes.
I am a professional who left school a long, long time ago. I have been searching for a while for a good math book to refresh my skills and so far found that when it comes to math, finding a good book is as hard as the subject it self. Most books are cumbersome to use and part of school curricula that unless approached as a whole leave the reader feeling incomplete and uninformed. This little book is not perfect but it is a fair and balance refresher course. I like it.
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Practical Problems in Mathematics for Electricians, 9th Edition
PRACTICAL PROBLEMS IN MATHEMATICS FOR ELECTRICIANS, 9E will give you the math skills you need to succeed in the electrical trade. It introduces you to the important math principles through problems designed for the electrical profession and offers you an excellent opportunity to develop and practice problem-solving skills while at the same time providing a valuable review of electrical terminology. This new edition uses the same straightforward writing style and simple, step-by-step explanations that made previous editions so reader-friendly. It minimizes theory and emphasizes problem-solving techniques and practice problems. This new edition also includes updated illustrations and information for a better learning experience than ever before! The book begins with basic arithmetic and then, once these basic topics have been mastered, progresses to algebra and concludes with trigonometry. Practical problems with real-world scenarios from the electrical field are used throughout, allowing you to apply key mathematical concepts while developing an awareness of basic electrical terms and practices. This is the perfect resource for students entering the electrical industry, or those simply looking to brush up on the necessary math84.95
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Exercises
I've
discovered that simple exercises are exceptionally useful during a seminar to
complete a student's understanding, so you'll find a set at the end
of each chapter.
Most
exercises are designed to be easy enough that they can be finished in a
reasonable amount of time in a classroom situation while the instructor
observes, making sure that all the students are absorbing the material. Some
exercises are more advanced to prevent boredom for experienced students. The
majority are designed to be solved in a short time and test and polish your
knowledge. Some are more challenging, but none present major challenges.
(Presumably, you'll find those on your own – or more likely
they'll find you
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Encyclopedia of Mathematics is a comprehensive one-volume encyclopedia designed for high school through early college students. More than 1,000 entries, more than 125 photographs and illustrations, and numerous essays cover the principal areas and issues that characterize this "new" area of science. This valuable resource unites disparate ideas and provides the meaning, history, context, and relevance behind each one. The easy-to-use format makes finding straightforward and natural answers to questions within arithmetic - such as algebra, trigonometry, geometry, probability, combinatorics, numbers, logic, calculus, and statistics - simple. Encyclopedia of Mathematics also gives historical context to mathematical concepts, with entries discussing ancient Arabic, Babylonian, Chinese, Egyptian, Greek, Hindu, and Mayan mathematics, as well as entries providing biographical descriptions of important people in the development of mathematics.
Editorial Reviews
Researcher, author, and educator Tanton has compiled this encyclopedia to share his enthusiasm for thinking about and doing mathematics. More than 800 alphabetically arranged entries present a wide variety of mathematical definitions, theorems, historical figures, formulas, examples, charts, and pictures. Many cross-references serve to connect concepts or extend a concept further. A mathematical time line listing major accomplishments is available following the entries, along with a list of current mathematics organizations. The bibliography contains print and Web resources, and the index is helpful in locating terms and concepts.
Each entry varies in length depending on the term, concept, or person being described. Six longer essays describe the history of the branches of mathematics. The writing style is straightforward and readable and sometimes contains parenthetical notes that add background or context. If an entry contains a word or words in capital letters, that term or person is also an entry in the encyclopedia.
Most Helpful Customer Reviews
This remarkable book is not just a collection of facts about mathematics, but is a fairly detailed treatment (within the limits imposed by space considerations) of various mathematical terms and topics. It does not restrict itself to simple mathematics and devotes full attention to several advanced concepts, but is always clearly written. I really commend the author for including proofs for some of the more important theorems and results (e.g. proof of the fundamemtal theorem of algebra, derivation of the least-squares method, and many more).
And yes, you *will* learn tons and tons of things from this excellent book. It is a must read for anybody interested in mathematics!
Given these four, there is hardly a topic from among the current 495 math fields of study that isn't at least explained in enough detail to save LOTS of time on link expeditions. At minimum, these give head starts on alphabetized keywords that will quickly fill holes in any research project, class, or syllabus.
Looking for divisibility rules for numbers that you didn't think had divisibility rules? Looking for names of symbols you didn't think had names? Dr. Tanton provides the facts and the explanations along with the stories behind the topics.
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MAT-331 Calculus III
Calculus III is an intensive, higher-level course in mathematics that builds on Calculus II. The course aims at serving the needs of a wide student audience, including students in engineering, mathematics, the physical and life sciences, and economics. It is constructed around multiple focal points with the intention of helping students become creative and efficient problem solvers.
The course uses technology as a means of discovery for numerical, graphical and analytical solutions to problems. It also emphasizes communication skills and requires students to interpret, describe, discuss, justify and conjecture as they search for solutions to problems. Real-life applications provide links with students' everyday life. Topics covered include indeterminate forms, vector algebra and calculus in the plane and 3-space, analytic space geometry, multivariable functions, partial derivatives, gradients and real-world problems.
Advisory: It is advisable to have knowledge equivalent to MAT 231 Calculus I and MAT 232 Calculus II in order to succeed in this course. Students are responsible for making sure they have this knowledge
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Textbooks
To acquaint the student with the topics of equations, inequalities, rational expressions, exponents, logarithms, radicals, functions, graphs, and systems of equations. This course is designed to prepare students to take additional mathematics courses
Calculator Requirement:Each student will need to have a graphing calculator available for some of the material of the course. The instructor will generally use a TI-83, TI-84 or TI-86, and recommends that the student use a TI calculator too.If a student has another brand, the instructor may not be able to help with any problems. If the student has a TI-89 (or TI-92) use will be restricted to those functions available on the TI-84.Cell phones or PDA'sare not acceptable.Cell phones and PDA's should be turned off and put away during all class periods, and especially during tests.
Grading Standards
See the attached course syllabus
Final Exam
12/4/2010 10:30 - 12:30
Submission Format Policy
Homework assignments should be done on 8 1/2 by 11 paper. The problems should be done neatly and in order, and if the assignment involves more than one page, the pages should be stapled together. Assignments should be done in pencil with all mistakes neatly and cleanly erased. It is recommended that the student solve the problems on scratch paper, and then copy the solution (not just the final answer) onto the homework sheets
The teacher may give homework handouts, in which case the final answer should be placed in the underlined blank, if provided, and the work should be done neatly in the space between problems. Again, any misprints should be neatly and cleanly erased.
Tests will be given in-class and will done on paper provided by the instructor. In-class quizzes may also be given. No make-ups will be given for quizzes, and tests will only be able to be made up for unavoidable reasons. If a student knows that he/she has a legitimate conflict with a scheduled test, that student should contact the instructor well in advance of the test to make arrangements for making up the assignment. If a student misses a test for an unavoidable reason, that student must contact the instructor no later than the first day that student returns to class (and preferably before that, if possibleAll tests and homework should be completed according to the schedule provided in the syllabus. No make-ups will be given for in-class quizzes or exercises (if any). If the instructor assigns problems to be worked outside class and handed in in class, then the problems are due at the beginning of the designated period (and each student should be prepared to hand the assignment in before taking his/her seat as the student enters the classroomStudents are expected to attend every session of the class. Recognizing that there are extenuating circumstances where students must miss an occasional class, the instructor will follow the Midwestern State University attendance policy as stated on page 78 of the Midwestern State University Undergraduate Catalog, Volume LXXVIII, Number 1, 2010-2012. In particular, the instructor will keep track of attendance and if a student accumulates four or more un-excused absences and is not taking the course seriously as evidenced by homework and tests, then the instructor reserves the right to use the policy to drop the student from the class
An absence is defined as not being present for the entire period. Students who come in late or leave early may be counted absent for that class, unless they have made arrangements with the instructor in advance.
Other Policies
Use of cell phones for communication during class is forbidden. Students may not use cell phones or PDA's to communicate with other individuals inside or outside of the classroom. Any student found using a cell phone PDA, or computer during a test will be considered to be cheating, and will be subject to receiving a zero on the assignment. Students may use cell phones or cameras to copy material on the board, but communication during class is not permitted.
Students may use personal computers to take notes during class, but again, communication with other people, surfing the web, or working on assignments for other classes is not permitted during this class. At the teacher's sole discretion, a cell phone, PDA or computer may be confiscated for the remainder of the class period.
Entering the class late or leaving the class early is a disturbance to the other students and to the teacher. Each student is expected to treat the other students and the teacher with respect. Any student who is being disruptive to the class may be asked to leave the classroom and will be counted absent for that day.
Grading:The final grade for the course will be determined by a combination of hour exams, exercises (some take-home and some in-class), and a final exam.Any take-home exercises will be due at the beginning of the period designated by the instructor.Late exercises will not be accepted. No makeup on in-class exercises will be given.The grade assigned will be determined by the grade scale listed below.
InstrumentWeight|Grade Scale
------------------------|-----------------
Hour Tests (4)68%|90 - 100%A
Exercises/Quizzes 10%|80 -89%B
Final Exam 22%|70 -79%C
|60 -69%D
Cheating:Each student is expected to do his or her own work on all graded assignments. ANY EVIDENCE OF CHEATING OR UNAUTHORIZED group effort WILL RESULT IN DISCIPLINARY ACTION which may range from a zero on the assignment to an F in the course.On homework assignments students may discuss the problems outside of class, but each student is expected to work out and understand the solutions to the problems.For some of the exercises done in class the teacher will let students work together, but not on tests.
Note:Any student experiencing difficulty with this course has an obligation to himself and the rest of the class to seek help in mastering the material.The first step is to talk to the instructor.Putting it off will only make it worse.It has been the experience of the teacher that students who study together in groups outside class generally do better.Therefore the teacher encourages students to form study groups.It is permissible to work on homework problems outside class in study groups.However, simply to copy the answers derived by another student is not only self-defeating, but cheating.The Mathematics Department provides help sessions in Bolin 101 from 2:00 to 5:00 Monday through Thursday and 1:00 to 4:00 on Friday, starting the second week of classes and ending the last week of classes. This provides a good place to study and/or seek help.
In accordance with the law, MSU provides students with documented disabilities academic accommodations. If you are a student with a disability, please contact me.
Course Outline:The following is a tentative outline of the material to be covered in this course, and the pace at which it should be covered.Due to the fast pace, it is recommended that each student read the sections listed for each day prior to coming to class.
Day Date Section(s)
Day Date Section(s)
Mon 8/22 1.1, 1.2
Fri 10/14 3.8
Wed 8/24 1.3
Mon 10/17 4.1
Fri 8/26 1.4
Wed 10/19 Test 3 3.1 – 3.8
Mon 8/29 1.5
Fri 10/21 4.2
Wed 8/31 1.5, 1.6
Mon 10/24 4.2, 4.3
Fri 9/02 1.6
Wed 10/26 4.3
Mon 9/05 Labor Day No Class
Fri 10/28 4.4
Wed 9/07 2.1, 2.2
Mon 10/31 4.5
Fri 9/09 Test 1 1.1 – 1.6
Wed 11/02 5.1
Mon 9/12 2.2, 2.3
Fri 11/04 Test 4 4.1 – 4.5
Wed 9/14 2.3, 2.4
Mon 11/07 5.2
Fri 9/16 2.4, 2.5
Wed 11/09 5.3
Mon 9/19 2.5
Fri 11/11 5.4
Wed 9/21 2.6
Mon 11/14 5.5
Fri 9/23 2.6
Wed 11/16 5.6
Mon 9/26 3.1
Fri 11/18 5.6
Wed 9/28 Test 2 2.1 – 2.6
Mon 11/21 Test 5 5.1 – 5.6
Fri 9/30 3.2
Wed 11/23 Thanksgiving Holiday
Mon 10/03 3.3
Fri 11/25 Thanksgiving Holiday
Wed 10/05 3.4
Mon 11/28 7.1
Fri 10/07 3.5
Wed 11/30 7.1
Mon 10/10 3.6
Fri 12/02 Wind up
Wed 10/12 3.7
Tuesday December 6, 2011 Final Exam
1:00 – 3:00 pm
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Summary
Master mathematics the easy way. Improve your basic math skills with this course. This practical math course takes you from basic addition through algebra and trig. You'll apply mathematical analysis with confidence and ease, in situations that used to leave you helpless. You'll be in a power position, whether tackling cash register errors or major financial deals. This self-paced course requires no textbook or instructor.
Never be intimidated by math again. With this practical math course, you'll master mathematics the easy way. You'll improve your math skills, from basic addition through algebra and trig, without the tedium you endured in school.
After completion, you will easily add, subtract, multiply, divide, apply algebra, and apply trigonometry--with no paper or calculator. You'll apply mathematical analysis with confidence and ease. You will be able to negotiate salary, loans, and other financial deals from a power position, running numbers on the spot and getting the correct result every time.
Approximate study time: 21 hours
Benefits
Does mathematics seem hard for you? This course uses proven techniques to show you how to overcome mathematical difficulty.
Upon completion of this course, you will:
No longer fear math, but rule it.
Be able to add, subtract, multiply, and divide in your head--a 7 year old girl of average intelligence did exactly that with the information in this course.
Be able to do algebra in your head--same girl,same thing.
Apply mathematical analysis with confidence and ease.
Negotiate salary, loans, and other financial deals from a power position.
Never again be ripped off by shady sales offers that rely on manipulated numbers.
Never again be fooled into voting for a candidate who makes unrealistic promises or whose plans will lower your standard of living.
Be able to translate tax increases and government spending into the number of hours you work to pay for them.
Improve your career outlook by having math skills and the analytical ability that comes with them.
Awaken that part of your brain that performs mathematical calculations.
Why Buy
Gaining an intuitive understanding of mathematics and the ability to think quantitatively is of enormous benefit, personally and in business. Not just because you can solve math problems, but because you develop a very potent way of thinking and of solving all kinds of problems--even if they aren't math problems.
And, of course, you need the math skills anyhow.
Ten more reasons to buy this course and know this material:
10. Most people are uncomfortable with math--you want to be able to do math easily.
9. Math incompetence is a major source of stress.
8. Having this knowledge allows you to focus what you really want to
do--rather than cope with math-related stress.
7. This course is a lot quicker than sitting through a semester of
college.
6. This course focuses on what you really need to know, in a way you
can understand.
5. Poor time math performance can haunt you for life. Good math
performance can provide life-long benefits by allowing you to get the best deal,
manage your finances, and so on.
4. This knowledge helps you make the right decisions.
3. The right approach to math saves time and energy.
2. By taking this course, you gain insight into specifics of making
math easy for you to do.
and the number one reason to buy this course and learn
this material...
1. You owe it to yourself to know this
information. Why limit yourself to a continual state of math-related dependence
on others, when this knowledge can put you in charge?
TOC
FAQs
Questions
Answers
This looks really interesting but I can't figure out what you are sending or how you are sending it.
These are downloadable files. In other words, you get download instructions as soon as the buying part is done and you get the files right away.
What is it that I'm going to get and how? Is it a file that I'll download? Is it mailed?
As soon as your purchase is complete, you will receive download instructions both on screen and via e-mail. You download self-extracting zip file that contains the course material. Depending on the course, the individual files will be in the rich text format or in the e-book format. Most materials are in the easier-to-handle rich text format.
Are we talking about a lot of pages for me to read?
Here's something that pleasantly surprises most people about these.
If you look at a typical $99 professional book, most of it is filler. These courses don't have the filler. Ditto for $995 seminars covering the same information. Our courses get right to the meat, saving you the effort of wading through pages of nonsense. We don't mass up the high overhead of generating the filler, and we pass the savings on to our customers.
Do your courses on project management prepare me for the various certification routes of the Project Management Institute?
No. The material does not focus on exam preparation. It focuses on improving your real-world skills. However, what you learn will not impede certification.
Are you one of the approved (by PMI) course providers?
No. We are not affiliated with the Project Management Institute, although we may consider going that direction. Our goal is not to make you spend a lot
of money learning how to answer test questions. Our goal is to teach you how to do your job better.
How long does each of your courses take?
It depends on the student. These courses are essentially white papers with exercises to help you relate the information to what you are doing now. You can read the material in each course in under an hour. But, how long it takes to digest it and apply it is up to you.
Do I have to buy books in addition to your course material? Will those books have to be bought from you?
To both questions, no. You don't have to buy anything else. Each course stands on its own.
What if your course material is not clear? Are your course writers available for clarification? Since it is not possible to read all material at one shot, and collect all questions at the same time, will the course writers be available as needed or on a one time basis?
a. It will be clear.
b. Yes.
c. Your success is important. If you have a question that is germane to the material, and not a probe for free consulting services, we will help you understand the material. We have kept the prices low, because not everyone can afford $995 for a two-day seminar that amounts to little more than a book promo. This is not a book promo.
What if I have other questions?
We'll answer to whatever extent is reasonable. It may be possible that you will ask questions that require developing a new course--some aspect of successful project management we didn't cover and that is not part of the normal project management training regimen. In that case, you would get the new course for free.
Do you have other courses?
Yes, and we are developing more. You can always write to us with specific needs, and we will adjust our product development accordingly. Also, it's a good idea to check Mindconnection on a regular basis, just to see what is new.
Who writes these courses?
That depends on the subject. For example, Dr. Jay Prince wrote the behavior courses based on his experience as a licensed therapist.
All of the courses are well-researched and devoid of pseudoscience. Most are written by a subject matter expert. All are reviewed by a professional editor for clarity and succinctness.
Do your courses qualify for employer reimbursement?
Possibly not, because they are not accredited. Then again, our cost is very low. So, you must ask yourself if that small amount is worth investing into the skills you need to keep yourself employed and employable.
The goal here is not to pile up paper credits. The goal is to get the information you would ordinarily get only from a lifetime of working in project management--if even then. We save you "classroom time" in the "school of hard knocks." You will recover your investment (and then some), simply because you will be that much better at what you do.
How much time can I reasonably expect to save, once I use the principles in your time management course?
That depends on how you presently approach your work. The typical student can expect to increase productivity by 50%. If you look at the way most people do their work, and then work your way through the course, you'll see why this is so. The author of that course works three full-time jobs and is Chair for one non-profit and acting Chair for another. Yet, he manages to excel in all of these roles while still maintaining outstanding health and enjoyment of life.
More Info
How many times have you looked at a math problem and felt your stomach churn? Do you make mistakes filing your taxes? Do car salesmen and other hard pressure people work you over with voodoo math you feel defenseless to counter? Help is here.
Do you feel better math skills will help you do better on your job? Would better math skills improve the way you invest your money? Spend your money? Do you encounter everyday situations where you just wish you could "do the math?" Do you have difficulty sifting through election promises? Help is here.
Do you fear your kids will grow up math-illiterate, instead of being able to shine on their SATs? Would you like to set an example for your kids, help them win a scholarship, and feel competent in this basic life skill? Help is here.
This practical math course takes you from basic addition through algebra and trig. No, you won't encounter a bunch of mysterious symbols or mathematical jargon to memorize. You will learn how to do the math. Without getting a headache from it.
The first thing we must do to overcome math phobia is to recognize that math is orderly, predictable, and logical. There's really nothing mysterious about it.
Mathematics is, after all, the study of relationships between
quantities--numbers. In its essence, it's a way of counting things.
Two will always be two, and four will always be four. The rules of math are far simpler than the rules of English, yet most of us speak and write with far more comfort than we feel when doing math. Put another way, math should be easy for you because you have already shown competence in something much more complicated and confusing than math will ever be.
The leaders of our public schools decided at some point that children in third grade would understand math quickly, if the textbooks explained math by using words the children did not understand. That makes about as much sense as trying to teach kids by saying, "You know that feeling you get after running a major international corporation for a few years? That's the basis for today's math lesson."
This despicably stupid approach to teaching has made millions of American children feel stupid as they study math. This is how I felt, decades ago. You may have felt the same way. It's clear to me now what distribution means and what associating means, and so you could explain to me math concepts in terms of "distributive" or "associative" properties, but attempting that with kids whose ages are in the single digits is preposterous.
This is what has set the stage for poor math performance in adults who would otherwise be adept at mathematical calculations. If math is hard for you, it's not your fault. But you can do something about it, thanks to this course.
In this course, we don't use big words in some misguided attempt to impress administrators while leaving the student to twist in the breeze.
Nor do we even consider the complex gyrations that pass for methods of solving math problems. Those gyrations just about require a PhD in astrophysics to understand, and applying them to four-digit addition and subtraction is completely irrational. Using an irrational approach to teach the logic of math may fit well with the government way of doing things, but it's not a way of accomplishing the goal of teaching math. Many of us have suffered math phobia as a result of such a mismatch, but that doesn't mean you have to suffer now. Help is here.
This course gives you the knowledge to correct that mismatch, overcome that phobia, and enjoy the power of being able to do practical math with ease.
Why can't school textbooks make math this easy? Not to mention, it's actually fun now. I add stuff up in my head while other people are pecking away on their calculator app and just grin when they say "How did you do that?" My main reason for buying this was so I could stop having trouble with multiplication (fumble fingers and I get the wrong answer on my computer). But now I'm doing algebra without so much as a paper and pen! And it's easy!
I no longer fear math, 1.26.2012
Reviewer: Tina Rampel (Cedar Rapids, IA)
I bought this course out of desperation and due to some bad things that happened due to my poor math skills. I was really afraid of math, but after taking this course I don't find it intimidating or difficult.
The material was very clear, but I would also have liked audio to go with it.
Very helpful math course, 12.9.2011
Reviewer: Renee Connelly (Arlingto, TX)
I've always hated math and have not been very good at it. But earlier this year our operations manager announced he'd be retiring. I really wanted that job and had dinner with the ops man to discuss my chances of being promoted. My lack of math jumped out as a deal killer, but the ops man encouraged me to self-study and gain those skills.
This didn't seem possible, but like I said I really wanted that job so with his confidence in me helping I bought a couple of math books. And promptly got frustrated. When my son asked me what I was upset about, that led to looking online and I found this course. It actually cost less than the books I'd bought. And I had ZERO frustration.
So now I actually have that job. It's tougher than I thought it would be, but I love it. The math is absolutely not a problem, and that means I can focus on other issues. What's really funny is I pop out numbers at people without using any paper and they think I've always been this good at math!
Outstanding!, 2.25.2011
Reviewer: Jared Brown (Detroit, MI)
I hated math in school, and this caused me a lot of problems in life. I finally decided enough was enough and to do something about my math phobia and lack of math skills. This math course was surprisingly easy. No jargon or mysterious concepts. Just good explanations and enough sample problems for me to see I was learning the material.
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1133103472
9781133103479
Student Solutions Manual for Gustafson/Hughes' College Algebra, 11th:Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
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Essentials of Trigonometry -Text - 4th edition
Summary: Intended for the freshman market, this book is known for its student-friendly approach. It starts with the right angle definition, and applications involving the solution of right triangles, to help students investigate and understand the trigonometric functions, their graphs, their relationships to one another, and ways in which they can be used in a variety of real-world applications. The book is not dependent upon a graphing calculator
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took several discrete mathematics courses in college. I have a few students who I've helped improve their understanding of sets, relations, functions, algorithms, mathematical induction, finance and difference equations. Usually when meeting discrete math students I bring Discrete Mathematics by Richard Johnsonbaugh.
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Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard "Demystified" level, questions and answers, and accessibility.
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Students who need additional practice solving linear systems can use this short worksheet that provides immediate feedback as it is self-checking. The answers correspond to letters that decode a... More > secret message, increasing fun and satisfaction for students. Students will also interpret results graphically, indicating that the lines are parallel, the same, or intersecting at a single point. Similar PUZZLE MATH worksheet and books are available including, "PUZZLE MATH: Mixed Derivatives", and "PUZZLE MATH: Trigonometry and Logarithms".< Less
Linear Algebra I is a book for university students of any university branch of science. You will find summaries of theory and exercises solved, of the following topics: Matrices, Resolution of Linear... More > Systems Equations, Vector Spaces, Linear Transformations, Diagonalization of endomorphism, and Bilinear and Quadratic Forms.
I have 20 years of experience teaching mathematics at the university level. And, as a teacher of Algebra, Calculus, Statistics, etc., of university students, and, as a result of the needs that I have seen in my students, I have written this book.
This book is characterized by being practical and didactic. It is also useful as a guide for the student.
I hope it will be useful to you, above allPUZZLE MATH: Solve Equations Using Four Operations is a self-checking decoder-style worksheet. Students will solve 20 equations using addition, subtraction, multiplication, and division. The... More > numbers are positive integers, so performing operations with signed numbers is not a necessary prerequisite skill. If you like this worksheet, you'll enjoy the many other books and worksheets available at Less
This free self-checking decoder-style worksheet has twelve equations. Eight require performing one or two inverse operations to both sides of the equation, and four require performing three inverse... More > operations. Students square root and have to recall to put 'plus or minus' on their answers. This worksheet provides students with instant feedback and fun, and it reduces grading overhead for teachers. If you enjoy this worksheet, you'll love the other PUZZLE MATH publications at Less
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Maths Frameworking - SATs Revision Guide Levels 5-7
Maths Frameworking is the Number 1 Framework mathematics scheme in schools. The Maths Frameworking Revision Guides provide focussed study support and ...Show synopsisMaths Frameworking is the Number 1 Framework mathematics scheme in schools. The Maths Frameworking Revision Guides provide focussed study support and test practice at the right level for every student. Written by highly experienced teachers, these books help offer the best possible preparation for KS3 National Tests. Features include: / Complete summary and practice support in preparation for SATs at level 5-7 / Full-colour, clear layout / Easy-to-navigate layout to help students revise more efficiently / Sample answers with advice on how to achieve maximum marks / Hints and tips on how to raise grades / Links to the number one KS3 school maths scheme Maths Frameworking.. Illustrations
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Work out what the normal vector is to a line of the form ax + by = c, and make up a simple example that helps you remember how this works.
Work out what the normal vector is to a plane of the form ax + by + cz = d, and make up a simple example that helps you remember how this works.
(Note an earlier version mistakenly had "line" instead of "plane." My thanks to alert readers.)
Sketch the vector u = <cos A, sin A>, where A is some angle measured in degrees counterclockwise from the x-axis, and also sketch the vector v = <1,0>.
Explain in this simple example why the dot product of u and v is equal to the product of the length of u, the length of v, and the cosine of the angle between u and v.
What happens to this equality when you stretch u by a factor of 2? (Draw a picture. Compute the dot product of this new u and v. Compute the product of the lengths of this new u and v and the cosine of the angle between them.
Does the equality still hold?) Try this again when you stretch v by a factor of 3. What happens to the sides of the equality when you do both: scale u by a factor of 2 and scale v by a factor of 3?
Now consider again the original u and v. Sketch the vectors obtained by rotating both u and v by B degrees counterclockwise (say, B = 90 degrees).
Explain in your own words why the equality described above still holds. (For fun: What happens to the equality if you combine rotations and stretches of u and/or v? What about reflections?)
Read through the sections of the text listed above to acquaint yourself with the author's style and the layout.
Visit the website listed above ("MIT OPEN COURSE LINEAR ALGEBRA WEBSITE"). Watch some parts (or all) of a few of the lectures there to get a feel for what this course is about, and what the lectures look like.
Look at some of the assigned problems (on the MIT site) along with the worked solutions.
Come with questions!
STUDENTS WITH DISABILITIES
Students with disabilities who require special accommodations for access and
participation in this course must be registered with the
Office of Disability Services (ODS). Students who need exam accommodations
must contact ODS in the first week of the term to arrange a
meeting with a Disability Specialist.
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Essentials of College Algebra with Modeling and Visualization - 4th edition
Gary Rockswold teaches algebra in context, answering the question, &''Why am I learning this?&'' By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswold&'s focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. This streamlined text covers linear, qu...show moreadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, which gets to the heart of what students need from this course. A more comprehensive college algebra text isalso52 +$3.99 s/h
Acceptable
newrecycleabook centerville, OH7515289
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Interval Methods for Systems of Equations
An interval is a natural way of specifying a number that is specified only within certain tolerances.An interval is a natural way of specifying a number that is specified only within certain tolerances.Hide synopsis
Description:New. This item is printed on demand. An interval is a natural...New. This item is printed on demand. An interval is a natural way of specifying a number that is specified only within certain tolerances.
Description:NEAR FINE. Paperback, 272pp., This listing is a new book, a...NEAR FINE. Paperback, 272
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Algebra for College Students
9780495105107
ISBN:
0495105104
Edition: 8 Pub Date: 2006 Publisher: Thomson Learning
Summary: Kau fundam...ental problem solving skills necessary for future mathematics courses in an easy-to-read format. The new Eighth Edition of ALGEBRA FOR COLLEGE STUDENTS includes new and updated problems, revised content based on reviewer feedback and a new function in iLrn. This enhanced iLrn homework functionality was designed specifically for Kaufmann/Schwitters' users. Textbook-specific practice problems have been added to iLrn to provide additional, algorithmically-generated practice problems, along with useful support and assistance to solve the problems for students.
Kaufmann Schwitters Staff is the author of Algebra for College Students, published 2006 under ISBN 9780495105107 and 0495105104. Seventy one Algebra for College Students textbooks are available for sale on ValoreBooks.com, twenty four used from the cheapest price of $0.20, or buy new starting at $340495105104 Brand new book. Hardcover US edition. Ship from multiple locations, including USA, UK, ASIA. 3-5 business days Express Delivery to USA/UK/Europe/Asia/Worldwide. Tracking number will be provided. Satisfaction guaranteed. ISBN: 0495105104
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analysis
analysis, branch of mathematics that utilizes the concepts and methods of the calculus. It includes not only basic calculus, but also advanced calculus, in which such underlying concepts as that of a limit are subjected to rigorous examination; differential and integral equations, in which the unknowns are functions rather than numbers, as in algebraic equations; complex variable analysis, in which the variables are of the form z = x + iy, where i is the imaginary unit; vector analysis and tensor analysis; differential geometry; and many
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This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves.
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Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press...
see more
Matrix Calculator is a site containing an interactive applet that let a user to input a square matrix and then with a press of a button compute a power of this matrix, determinant, inverse, characteristic polynomials and other useful matrix characteristics.
This site has has interactive explanations and simulations of math from alegrbra to trigonometry. Just click the...
see more
This. It's definitely worth checking out. Quote from site: "A parabola is actually a locus of a point and a line. The point is called the focus and the line the directrix. That means that all points on a parabola are equidistant from the focus and the directrix. To change the equation and the graph of the interactive parabola below just click and drag either the point A, which is the focus, or point B, which controls the directrix." This is an interactive site that allows people to change the graph to understand why directrix and focus dictate parabolic graphs.
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Looking for Pythagoras is filled with investigations that develop a fundamentally important relationship connecting geometry to algebra: the Pythagorean Theorem. Students are not merely introduced to a meaningless formula. To encourage deep understanding of what the theorem means, students explore squares created with various lengths, their areas and how these relate to the side lengths of right triangles. Students also explore square roots and strategies for estimating square roots. Irrational numbers are introduced and students are expected to be able to estimate where these occur on a number line.
For an in-depth explanation of unit goals, specific questions to ask your student and examples of core concepts from the unit, go to Looking for Pythagoras
Complete policy statement
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books.google.com - Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Created in the 18th and 19th centuries as a distinct mathematical discipline it continued to develop, conquering new unexpected areas and producing impressive applications... Harmonic Analysis II
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MATH-182 Project-Based Calculus II
Tue, 02/04/2014 - 11:10am -- gpltwc
This is the second in a two-course sequence intended for students majoring in mathematics, science or engineering. It emphasizes the understanding of concepts, and using them to solve physical problems. The course covers techniques of integration including integration by parts, partial fractions, improper integrals, applications of integration, representing functions by infinite series, convergence and divergence of series, parametric curves and polar coordinates. (C or better in MATH-181 Project-Based Calculus I) Class 4, Workshop 2, Credit 4 (F, S, Su)
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Managing the Mean Math Blues - 2nd edition
Summary: Is it possible for math-phobic students to learn math? Yes! Not only can they learn math, they can excel by learning the truly unique techniques in Managing the Mean Math Blues. Written by an experienced math teacher and psychotherapist, this book helps students overcome their negative perceptions about math using positive psychology, brain-based learning, and study skills techniques. Students turn failure into success as they practice these new skills on basic m...show moreath content. With clear psychological models for concentration and focus (called flow) into math, students learn how to match their skills with math challenges, set short-term goals and seek feedback in order to learn math successfully
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Applied Linear Algebra - 06 edition
Summary: For in-depth Linear Algebra courses that focus on applications.
This text aims to teach basic methods and algorithms used in modern, real problems that are likely to be encountered by engineering and science students--and to foster understanding of why mathematical techniques work and how they can be derived from first principles. No text goes as far (and wide) in applications. The authors present applications hand in hand with theory, leading students thro...show moreugh the reasoning that leads to the important results, and provide theorems and proofs where needed. Because no previous exposure to linear algebra is assumed, the text can be used for a motivated entry-level class as well as advanced undergraduate and beginning graduate engineering/applied math
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More About
This Textbook
Overview
Dr Smithies' analysis of the process whereby Cauchy created the basic structure of complex analysis, begins by describing the 18th century background. He then proceeds to examine the stages of Cauchy's own work, culminating in the proof of the residue theorem. Controversies associated with the the birth of the subject are also considered in detail. Throughout, new light is thrown on Cauchy's thinking during this watershed period. This authoritative book is the first to make use of the whole spectrum of available original
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Internet courses/tutorials to help students do homework, prepare for a test, or get ready for a class. The material presented here reviews the most important results, techniques and formulas in college and pre-college mathematics. The learning units are presented in worksheet format and require the student's active participation. Subjects covered include Algebra, Trigonometry, Calculus, Differential Equations, Complex Variables, and Matrix Algebra.
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book presents 49 space-related math problems published weekly on the SpaceMath@NASA site during the 2011-2012 academic year. The problems utilize information, imagery, and data from various NASA spacecraft missions that span a variety of math...(View More) skills in pre-algebra and algebra
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widely acclaimed for its clear, cogent presentation of the theory of partial differential equations, and the incisive application of its principal topics to commonly encountered problems in the physical sciences and engineering. It was developed and tested at Purdue University over a period of five years in classes for advanced undergraduate and beginning graduate students in mathematics, engineering and the physical sciences.The book begins with a short review of calculus and ordinary differential equations, then moves on to explore integral curves and surfaces of vector fields, quasi-linear and linear equations of first order, series solutions and the Cauchy Kovalevsky theorem. It then delves into linear partial differential equations, examines the Laplace, wave and heat equations, and concludes with a brief treatment of hyperbolic systems of equations.Among the most important features of the text are the challenging problems at the end of each section which require a wide variety of responses from students, from providing details of the derivation of an item presented to solving specific problems associated with partial differential equations. Requiring only a modest mathematical background, the text will be indispensable to those who need to use partial differential equations in solving physical problems. It will provide as well the mathematical fundamentals for those who intend to pursue the study of more advanced topics, including modern theory.
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College Math Refresher
Whether you have a Ph.D. in civil engineering or a bachelor's degree in music, chances are you'll have to use math at some point in your adult life. From taxes and cooking to design projects and computer programming, math is — and will remain — an essential skill set. This refresher guide was designed to help you revitalize your rusty math skills for today's world, and can even introduce you to a few new concepts along the way.
Five Mathematical Areas to Familiarize Yourself With
Throughout the history of science and philosophy, the concept of reason has been picked apart by the world's greatest minds. Of all the many investigations made into the concept, mathematics remains one of the best tools we can use to get closer to fully understanding the "laws" which govern reality. Below is a brief overview of several mathematical areas, with brief descriptions and test questions you can use to study.
Pre-Algebra
This area of mathematics is usually studied by middle school students as an introduction to algebra. In some senses, it's the backbone of everyday math. Therefore, refreshing yourself on the core concepts can be quite easy if you have some background with arithmetic, multiplication and division in the form of basic algebraic equations.
Test Your Knowledge!
Solve for "x":
2 + x = 4
(15 – 5) – x = 10
There are a few steps we need to follow in order to "solve for x." The key is to isolate the "x" before the equal sign. For the first question, simply subtract 2 from both sides of the equal sign. Subtracting 2 from 2 equals 0, and 2 from 4 equals 2 (you cannot subtract a number from x). Now your equation should look like 0 + x = 2, which is essentially x = 2. Now try the second question and see how you do!
Calculus
Typically, students study some form of calculus as a junior or senior in high school, or in the first years of college. It certainly is not the easiest area of mathematics! The invention of calculus is often credited to 17th century thinkers Isaac Newton and Wilhelm Gottfried Leibniz and is defined as the mathematical study of change. Change, as we all know, can be quite complicated, and the study of calculus definitely follows suit.
Because calculus equations can get rather complicated and unwieldy, there will not be any practice questions for you to take in this article. If you're looking to spark your memory, this basic calculus refresher created by Dr. Ismor Fischer at the University of Wisconsin is a great resource to keep handy.
Geometry
Like calculus, this area of mathematics is something many people tend to just get or struggle their whole lives trying to grasp. It requires a keen sense of spatial intuition, in addition to a robust knowledge of algebra and trigonometry. Invented by the ancient Greek mathematician Euclid, geometry is the study of shapes and sizes, as well as distinguishing the various properties of space.
Test Your Knowledge!
What is the supplementary angle to 24?
Find the area of a circle with a radius of 7.
For the first question, you should know that supplementary angles must add up to a total of 180. So solving this question is rather easy, just subtract 24 from 180 and voila! Question number two requires the memorization of a formula (geometry requires that you memorize many different formulas). The formula you need in order to find the area of a circle is: Area = Pi (3.14) x Radius squared.
Trigonometry
Trigonometry is quite similar to geometry, except it's all about triangles. You'd never realize how important triangles are to our world until you study a bit of trigonometry. In addition to naturally proceeding geometry during a student's course of study in mathematics, it also tends to precede the study of calculus. Many of the functions and equations learned in trigonometry are often heavily used in careers that rely upon applied mathematics, such as engineering.
Test Your Knowledge!
Find the Sine of angle A with and adjacent side of 8, an opposite side of 9 and a hypotenuse of 10.
If the question above seems like a bunch of gibberish, don't worry; you're not alone. Without going into too much detail, the Sine is really just a ratio of two sides of a right triangle: the opposite side of angle A and the triangle's hypotenuse (the diagonal side). So, the equation would be: Sin A = opposite / hypotenuse (adjacent side doesn't matter for this formula). See if you can do it!
Applied Math
As the name would imply, the various systems of applied math are considered to be the more practical areas of mathematics. Examples of applied math include statistics, computer science and economics. Typically, areas within applied mathematics fall under the auspices of the liberal sciences, and do not often require the same degree of mathematical knowledge needed by students of the hard sciences.
Test Your Knowledge!
(Probability) If you roll a die once, what is the probability that it will show an even number?
(Economics) Last month, shoppers bought 200 boxes of cereal out of 250 total boxes from the grocery store. This month, 300 shoppers wanted to buy cereal, but only 250 new boxes of cereal arrived. Did the supply or demand increase for cereal this month? Was the demand met?
The first question is pretty easy compared to other probability scenarios. On a normal,
6-sided die, there are 6 possible outcomes: 3 possible even numbers and 3 possible odd numbers. Therefore, there is a 50% (1/2) chance the die will show an even number. The second question is also relatively simple. Since 300 shoppers (100 more than the previous month) wanted to buy cereal, the demand obviously increased. Moreover, 50 boxes were carried over from the previous month, making the total number of boxes available for this month 300. Therefore, the supply also increased and the demand was met.
Resources for Refreshing Your Math Skills
Below is a list of some of the greatest resources you can use to continue your refreshing your knowledge of mathematics:
The Ultimate Math Refresher for the GRE, GMAT, and SAT: This comprehensive study guide is an excellent resource for refreshing your skills in several mathematical areas, such as arithmetic, algebra and geometry. Not only does the book go over these areas in depth, it can help you prepare for the math component of several college and graduate school entrance exams.
Oxford University Mathematics OpenCourseWare: This site, hosted by Oxford University, offers several massively open online courses (MOOCs) across many areas of mathematics that any sort of student can study for free. While many of these courses probably shouldn't be taken by beginners, the courses available, such as Introduction to Pure Mathematics, offer great refresher materials for college or grad school students.
S.O.S. Math: Helpful to both beginning and advanced math enthusiasts, this site is a boon for many of us who need to brush up on our math skills across several popular areas of mathematics. In addition to several areas of math outlined earlier in this guide, S.O.S. Math also provides helpful information about books and other math-related sites you can learn from.
King of Math: This game app for iOS devices provides people with a fun way to refresh their skills across several areas of mathematics. The game starts you off as a farmer who must level up by answering several fast-paced math exercises across areas such as statistics, arithmetic and geometry.
Math Makes the World Go Round
Resources we use to refresh our skills across various areas of mathematics are not only helpful when promoting our ability to think quantitatively, but could prepare you for a real world situation where such knowledge might come in handy. Even though your current major or profession may not require a strong knowledge of math to get by, taking some time to refresh yourself on many of the topics outlined above could end up helping you in more ways than you think.
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Basic Mathematics for College Students
Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Fourth Edition, integrates the best ...Show synopsisOffering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, mathematics is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the "language of mathematics," the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology
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2011PAPERBACK Good 0538737719 Used book with cover wear and frayed corners. This book does contains highlighting and writing. All books directly from Avitar Books, we never use a ...3rd party. Will ship within 24 hours, Monday-FridayContains detailed worked solutions to all odd-numbered exercises in the text; section and chapter summaries of symbols, definitions, and theorems; and study tips and hints. Complex exercises are explored through a question-and-answer format designed to deeper understanding. Challenging and entertaining problems that further explore selected exercises are also included.
Product Details
ISBN-13: 9780538737715
Publisher: Cengage Learning
Publication date: 5/5/2011
Edition description: Solution M
Edition number: 3
Pages: 592
Product dimensions: 8.50 (w) x 10.80 (h) x 1.30 (d)
Meet the Author
David Poole is Professor of Mathematics at Trent University, where he has been a faculty member since 1984. Dr. Poole has won numerous teaching awards: Trent University's Symons Award for Excellence in Teaching (the university's top teaching award), three merit awards for teaching excellence, a 2002 Ontario Confederation of University Faculty Associations Teaching Award (the top university teaching award in the province), a 2003 3M Teaching Fellowship (the top university teaching award in Canada, sponsored by 3M Canada Ltd.), a 2007 Leadership in Faculty Teaching Award from the province of Ontario, and the Canadian Mathematical Society's 2009 Excellence in Teaching Award. From 2002-2007, Dr. Poole was Trent University's Associate Dean (Teaching & Learning). His research interests include discrete mathematics, ring theory, and mathematics education. He received his B.Sc. from Acadia University in 1976 before earning his M.Sc. (1977) and Ph.D. (1984) from McMaster University. When he is not doing mathematics, David Poole enjoys hiking and cooking, and he is an avid film
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If learners in the classroom are to be excited about mathematics, teachers need to be both well informed and able to see how this can be translated into rich and stimulating classroom strategies. This book achieves these aims. more...
This volume provides information on theory and algorithms for the traveling salesman problem (TSP). The book covers all important areas of study on TSP, including polyhedral theory for symmetric and asymmetric TSP, and branch and bound, and branch and cut algorithms. more...
This title consists of nine survey articles on various advances in algorithmic combinatorics. The articles cover both recent areas of application and exciting new theoretical developments. The book is accessible to Ph.D. students in discrete mathematics or theoretical computer science and is intended for researchers in the field of combinatorics. more...
Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both challenging and stimulating. A First Graduate Course in Abstract... more...
The aim in this graduate level text is to outline the key mathematical concepts that underpin these important questions in applied mathematics. These concepts involve discrete mathematics (particularly graph theory), optimization, computer science, and several ideas in biology. more...
The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on... more...
A unique approach illustrating discrete distribution theory through combinatorial methods This book provides a unique approach by presenting combinatorial methods in tandem with discrete distribution theory. This method, particular to discreteness, allows readers to gain a deeper understanding of theory by using applications to solve problems. The... more...
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More About
This Textbook
Overview about techniques and enable you to become more proficient at constructing proofs. A summary of key words and phrases at the end of each chapter help you master the material. A reference section, symbolic marginal notes, an appendix, and numerous examples help you develop your problem-solving skills.
Editorial Reviews
From the Publisher
"It is written in such a way that our students can succeed at mastering the algebra concepts they need for their secondary mathematics education career, or for advancing to the next modern algebra course, if desired. The book emphasizes the algebra topics we want our students to know. The order of the topics is perfect and the time (pages) devoted to each topic is what we want. There is an abundant number of exercises so that you can make sure your students achieve success, and at the same time, challenge them to advance to a much higher level."-Joan Bell, Northeastern State University
"This book does a nice job in presenting both computations and concepts. There is a blend of each throughout each section, with the mechanical, computational problems tied together by conceptual problems and observations."-Elizabeth Bodine, Cabrini College
Related Subjects
Meet the Author
Linda Gilbert received her Ph.D. from Louisiana Tech University with a specialty in Linear and Abstract Algebras. She has been writing textbooks since 1981 with her husband Jimmie Gilbert, including ELEMENTS OF MODERN ALGEBRA and LINEAR ALGEBRA and MATRIX THEORY (now in its second edition) with Cengage Learning, plus titles in College Algebra, Precalculus, College Algebra and Trigonometry, Trigonometry, and Intermediate Algebra
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Hardcover. May include moderately worn cover, writing,...Good. Hardcover. May include moderately worn cover, writing, markings or slight discoloration. SKU: 9780914098898098898 text is detailed and imaginative. For example, there is a proof that the log base, e, is trancendental. This is the sort of thing you don't usually find in elementary texts. Every math student should have a copy.
I feel that this textbook is used far less widely than it should be. As a college freshman with three semesters of calculus under my belt, I found this book to be informative and engaging, even though it started back at square one. As the summary states, this book is really more an introduction to the study of analysis, and as such has few computations, a fact which some find disappointing. I personally feel that this isn't a problem, as the concepts behind the computations are so rigorously and elegantly presented and reinforced that computation follows easily, and indeed there are computations scattered throughout the exercises (though not containing numbers... more general cases of derivatives and integrals, etc.). I found a marked improvement in my mathematical abilities through the use of this text, and it even sparked an interest in mathematics as
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Succeeding in Applied Calculus - 2nd edition
ISBN13:978-0495111535 ISBN10: 0495111538 This edition has also been released as: ISBN13: 978-0495220039 ISBN10: 0495220035
Summary: Written for students in need of an algebra refresher, this supplemental book is a convenient source of reference and review for students enrolled in an applied calculus course. It is a quick, easy-to-use resource that provides "just-in-time" algebra review for only those algebra topics that are most essential to the study of applied calculus, as well as most other college level quantitative courses. The author speaks directly to the student, providing numer...show moreous examples to illustrate the concepts and enough exercises to build proficiency. While this book can be used with any applied calculus text on the market, special discounts exist when bundled with a Thomson Brooks/Cole text.
Benefits:
NEW! Refined explanations and exercises appear throughout.
NEW! Section 9 considers the method on problems having real solutions as well as complex ones.
NEW! Section 16 introduces the notion of the tangent line to a circle, and indicates a more general definition as the best linear approximation, which will prove useful to the study of calculus.
A quick reference guide appears on the inside front cover, making it easy for students to find just the amount of review they need and when they need it. For example, if a student has trouble with limits, it tells them which algebra topics to review.
A Pre- and Post-Test appear for every section of the text so students can easily identify exactly what they need to study.
Examples include alternative solutions, and COMMON MISTAKES so students can easily identify where they may have made an error.
The author's approach to deriving formulas facilitates not only a review of algebra, but also the development of the intellectual processes needed to approach the theoretical proof-based aspects of calculus
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Elementary and Intermediate Algebra: Concepts and Applications
The Bittinger Concepts and Applications Program delivers proven pedagogy, guiding you from skills-based math to the concepts-oriented math required ...Show synopsisThe Bittinger Concepts and Applications Program delivers 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 MyMathGuide workbook 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 end-of-chapter material are all geared towards ensuring you grasp the concepts. *Guide Students' Learning: The new Bittinger video program and MyMathGuide work hand in hand to guide you to success.488Good. Looseleaf. May include moderately worn cover, writing,...Good. Looseleaf. May include moderately worn cover, writing, markings or slight discoloration. SKU: 97803218488Fine. Hardcover. Almost new condition. SKU: 9780321848741-2-0-3...Fine. Hardcover. Almost new condition. SKU: 97803218487411901019010 Elementary and Intermediate Algebra: Concepts and Applications
When I got the book it was in almost perfect new condition...
I didn't give it five stars because when I took it out of the box several pages were bent backwards together in what looked like a packing error.
The price was fantastic for a new product
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Product Synopsis
A student-friendly approach to KS3 This coursebook covers topics appropriate for the whole of KS3 Maths and accurately reflects the language and content of the new Programme of Study. This is a complete version of the individual Years 7, 8 and 9 coursebooks and provides full coverage of the KS3 programme of study. *Clear and concise overviews, examples and 'Key Words' boxes help underpin understanding of the key topics * Tasks and exercises challenge and stimulate pupils at all levels and help develop skills * Pages of practice questions for every topic reinforce learning and test understanding
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The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manner. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.
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A First Course in Complex Analysis with Applications (Jones and Bartlett Publishers Series in Mathematics): Search Results08193_US_7637577215798
Book Description:Jones & Bartlett Learning. Hardcover. Book Condition: New. 0763757721 Brand New. International Edition, Softcover,ISBN VIVA_ELB#10024311526
Book Description:Sudbury, Massachusetts, U.S.A.: Jones & Bartlett Pub, 2008. Soft cover. Book Condition: New. "MUST READ" NEW. International Edition. The book has exactly same content as US but ISBN and Cover are difference from US edition. Very rare case, textbooks come with different exercises at the end of chapter's. Restricted sales disclaimer wordings not for Sales in USA and Canada may be printed on the cover of the book but it is absolutely legally to use in North America. Express Shipping via USPS Priority & Media Mail. Bookseller Inventory # ABE-13160314799
Book Description:Jones & Bartlett Learning. Hardcover. Book Condition: New. 076375777637577
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On Core Mathematics
On Core Mathematics is a complete program for transitioning to the Common Core State Standards with interactive, real-world applications that help students deepen their understanding of crucial math concepts, while addressing the Common Core Curriculum and the Standards for Mathematical Practice. This program allows students to not just "do the math," but also to "understand and explain their math."
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ISBN: 0395431905 / ISBN-13: 9780395431900
Intermediate Algebra, with Applications
One of a series of developmental maths textbooks, this volume focuses on intermediate algebra. It provides a learning system organized by objectives, ...Show synopsisOne of a series of developmental maths textbooks, this volume focuses on intermediate algebra. It provides a learning system organized by objectives, around which all lessons, exercises, end-of-chapter review tests and ancillaries are arranged. The last objective in every section is, where applicable, devoted to applications, and a specific strategy is suggested for each major application problem, encouraging students to plan problem-solving strategies before addressing the
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The unique feature of this compact student's introduction is that it presents concepts in an order that closely follows a standard mathematics curriculum, rather than structure the book along features of the software. As a result, the book provides a brief introduction to those aspects of the Mathematica software program most useful to students. The second edition of this well loved book is completely rewritten for Mathematica 6 including coverage of the new dynamic interface elements, several hundred exercises and a new chapter on programming. This book can be used in a variety of...
From classical foundations to advanced modern theory, this self-contained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications. A theorem discovery approach is used throughout, setting each proof within its historical setting and is accompanied by a consistent emphasis on elementary methods of proof. Each topic is presented in a modular framework, combining fundamental concepts with worked examples, problems and digressions which, although mathematically rigorous, require no specialised or advanced......
Engineering Mathematics covers the four mathematics papers that are offered to undergraduate students of engineering. With an emphasis on problem-solving techniques and engineering applications, as well as detailed explanations of the mathematical concepts, this book will give the students a complete grasp of the mathematical skills that are needed by engineers.
...
Discrete Mathematics provides an introduction to some of the fundamental concepts in modern mathematics. Abundant examples help explain the principles and practices of discrete mathematics. The book intends to cover material required by readers for whom mathematics is just a tool, as well as provide a strong foundation for mathematics majors. The vital role that discrete mathematics plays in computer science is strongly emphasized as well. The book is useful for students and instructors, and also software professionals.
...
Business Mathematics focuses on transforming learning and teaching math into its simplest form by adopting learning by application approach. The book is refreshingly different in its approach, and endeavors to motivate student to learn the concept and apply them in real-life situations. It is purposely designed for the undergraduate students of management and commerce and covers wide range of syllabuses of different universities offering this course.
...
Complex Analysis presents a comprehensive and student-friendly introduction to the important concepts of the subject. Its clear, concise writing style and numerous applications make the basics easily accessible to students, and serves as an excellent resource for self-study. Its comprehensive coverage includes Cauchy-Goursat theorem, along with the description of connected domains and its extensions and a separate chapter on analytic functions explaining the concepts of limits, continuity and differentiability.
...
Linear Algebra is designed as a text for postgraduate and undergraduate students of Mathematics. This book explains the basics comprehensively and with clarity. The flowing narrative of the book provides a refreshing approach to the subject. Drawing on decades of experience from teaching and based on extensive discussions with teachers and students, the book simplifies proofs while doing away with needless burdensome textual details.
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Bernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's focus on applications, along with exercises and examples, enables readers to connect theory with practice so that they develop a good understanding of how the abstract spectral theory can be...
The Foundations of Computational Mathematics meetings are a platform for cross-fertilisation between numerical analysis, mathematics and computer science. This volume is a collection of articles based on plenary presentations, given at the 2011 meeting, by some of the world's foremost authorities in computational mathematics. The topics covered reflect the breadth of research within the area as well as the richness of interactions between seemingly unrelated branches of pure and applied mathematics. As a result this volume will be of interest to researchers in the field of computational......
...The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to...
Need to learn MATHEMATICA? Problem SOLVED!
Take full advantage of all the powerful capabilities of Mathematica with help from this hands-on guide. Filled with examples and step-by-step explanations, Mathematica Demystified takes you from your very first calculation all the way to plotting complex fractals.
Using an intuitive format, this book explains the fundamentals of Mathematica up front. Learn how to define functions, create 2-D graphs of functions, write basic programs, and use modules. You'll move on to 3-D graphics, calculus, polynomial, linear, and differential equations,...
Mathematica Cookbook helps you master the application's core principles by walking you through real-world problems. Ideal for browsing, this book includes recipes for working with numerics, data structures, algebraic equations, calculus, and statistics. You'll also venture into exotic territory with recipes for data visualization using 2D and 3D graphic tools, image processing, and music.
Although Mathematica 7 is a highly advanced computational platform, the recipes in this book make it accessible to everyone -- whether you're working on high school algebra, simple graphs,..., most chapters also include advanced material, so that the book will be a valuable resource for both beginners and experienced users. - Covers both Mathematica 6 and Mathematica 7 - The book, fully revised and updated, is based on...
For the engineering and scientific professional, A Physicist's Guide to Mathematica, 2e provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics. For professors teaching physics and other science courses using the Mathematica software, A Physicist's Guide to Mathematica, 2e is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage,...
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97800787034gebra: Concepts & Applications, is a comprehensive Algebra 1 program that is available in full and two-volume editions. Algebra: Concepts & Applications uses a clean lesson design with many detailed examples and straightforward narration that make Algebra 1 topics inviting and Algebra 1 content understandable.
Volume 1 contains Chapters 1-8 of Algebra: Concepts & Applications plus an initial section called Chapter A. Chapter A includes a pretest, lessons on prerequisite concepts, and a posttest.
Designed for students who are challenged by high school mathematics, the 2007 edition has many new features and support components
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Survey of Mathematics with Applications
9780321501073
ISBN:
0321501071
Pub Date: 2007 Publisher: Pearson
Summary: This best-selling text balances solid mathematical coverage with a comprehensive overview of mathematical concepts as they relate to varied disciplines. The text provides an appreciation of mathematics, highlighting mathematical history, and applications of math to the arts and sciences. It is an ideal book for students who require a general overview of mathematics, especially those majoring in liberal arts, the soci...al sciences, business, nursing and allied health fields. Let us introduce you to the practical, interesting, accessible, and powerful world of mathematics today-the world ofA Survey of Mathematics with Applications,8e.
Angel, Allen R. is the author of Survey of Mathematics with Applications, published 2007 under ISBN 9780321501073 and 0321501071. Five hundred forty seven Survey of Mathematics with Applications textbooks are available for sale on ValoreBooks.com, three hundred forty four used from the cheapest price of $0.01, or buy new starting at $28
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examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success
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ISBN13:978-0618247509 ISBN10: 0618247505 This edition has also been released as: ISBN13: 978-0030256714 ISBN10: 0030256712
Summary: Ostebee and Zorn provide concrete strategies that help students understand and master concepts in calculus. This user-friendly text continues to help students interact with the main calculus objects (functions, derivatives, integrals, etc.) not only symbolically but also, where appropriate, graphically and numerically. Ostebee/Zorn strikes an appropriate balance among these points of view, without overemphasizing any of them. New exercises, examples, and much more ha...show moreve added tremendously to this great book.
NAVIGATING CALCULUS, a new CD-ROM, is being released along with the second edition. The CD contains a variety of useful tools, and resources, including a powerful graphing calculator utility, a glossary with examples, and many live activities that deepen students' encounters with calculus ideas. The CD is keyed closely to the book's table of contents.
Any treatment of calculus involves many choices among competing alternatives: how and when to treat limits, which applications to include, what to prove, etc. To explain the authors' views on such matters, they've established an FAQ site at: ...show less
Functions, Calculus Style Graphs A Field Guide to Elementary Functions Amount Functions and Rate Functions: The Idea of the Derivative Estimating Derivatives: A Closer Look The Geometry of Derivatives The Geometry of Higher-Order Derivatives Chapter Summary Interlude: Zooming in on Differences
Areas and Integrals The Area Function The Fundamental Theorem of Calculus Finding Antiderivatives by Substitution Finding Antiderivatives Using Tables and Computers Approximating Sums: The Integral as a Limit Working with Approximating Sums Chapter Summary Interlude: Mean Value Theorems and IntegralsellBackYourBook Aurora, IL
0618247505ierra Nevada Books Reno, NV
Biggest little used bookstore in the world247509-5-0
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Mathematical Thinking Problem-Solving and Proofs
9780130144126
ISBN:
0130144126
Edition: 2 Pub Date: 1999 Publisher: Prentice Hall
Summary: For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematicsskills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete an...d continuous mathematics, allowing instructors to emphasize one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality.
D'Angelo, John P. is the author of Mathematical Thinking Problem-Solving and Proofs, published 1999 under ISBN 9780130144126 and 0130144126. Five hundred sixty Mathematical Thinking Problem-Solving and Proofs textbooks are available for sale on ValoreBooks.com, one hundred fifty one used from the cheapest price of $49.98, or buy new starting at $117.22.[read more Acceptable condition. Will show clear signs of use may contain damage to the binding, cover and/or pages. 2nd day shipping offered. Ships same or next day!!! Used book [more]
Book in Acceptable condition. Will show clear signs of use may contain damage to the binding, cover
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Discrete Mathematics With Graph Theory
9780130920003
ISBN:
0130920002
Edition: 2 Pub Date: 2001 Publisher: Prentice Hall
Summary: For one or two term undergraduate courses in Discrete Mathematics for students of Mathematics and Computer Science. Adopting a user-friendly, conversationaland at times humorousstyle, these authors make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage. Examples and exercises integrated throughout each chapter serve to pique student inter...est and bring clarity to even the most complex concepts. Above all, the book is designed to engage today's students in the interesting, applicable facets of modern mathematics.
Goodaire, Edgar G. is the author of Discrete Mathematics With Graph Theory, published 2001 under ISBN 9780130920003 and 0130920002. Twenty seven Discrete Mathematics With Graph Theory textbooks are available for sale on ValoreBooks.com, twenty three used from the cheapest price of $0.08, or buy new starting at $24.17
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Summary: Syllabus for Math 107, Fundamentals of Mathematics I, Fall 2010
Instructor: Dr. Elizabeth Arnold
e-mail: arnoldea@math.jmu.edu
Phone: 568-6532
URL:
Office: Roop 111
Office Hours: MWF 12:10-1:10pm, and by appointment.
COURSE DESCRIPTION: This course is the first in a series of three that are required for the IDLS
major. Topics covered include number systems, number operations, fractions, quantitative reasoning and
number theory. This course partially fulfills the requirements for licensure of prospective early childhood,
elementary, and middle school teachers.
TEXT: Reconceptualizing Mathematics for Elementary School Teachers, by Sowder, Sowder and Nickerson.
We will cover Chapters 1-11 in Math 107.
MathPortal: You should purchase this subscription from the bookstore. For $10, you will have access to
the MathPortal for 2 years. After you purchase the registration, go to
and click on "register". This is where you will see your
grades, assignments and supplementary materials. Please register before coming to class the first day.
SUPPLIES: Clear plastic ruler with both metric and American units, pencil, Calculator, 3 ring notebook.
SPECIAL COURSE REQUIREMENTS:
IDLS Assessment Test: All IDLS majors are required to take a mathematics assessment test at the begin-
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Geared to preparing students to make the transition from solving problems to proving theorems, this text teaches them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed.
Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5
Systematic and thorough, shows how several techniques can be combined to construct a complex proof
Selected solutions and hints now provided, plus over 200 exercises some using Proof Designer software to help students learn to construct their own proofs
Reviews & endorsements
"The prose is clear and cogent ... the exercises are plentiful and are pitched at the right level.... I recommend this book very highly!"
MAA Reviews
"The book provides a valuable introduction to the nuts and bolts of mathematical proofs in general."
SIAM Review
"This is a good book, and an exceptionally good mathematics book. Thorough and clear explanations, examples, and (especially) exercised with complete solutions all contribute to make this an excellent choice for teaching yourself, or a class, about writing proofs."
Brent Smith, SIGACT News
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MicroComputers and Mathematics - J. W. Bruce - Hardcover
9780521375153
ISBN:
0521375150
Publisher: Cambridge University Press
Summary: The interaction between computer and mathematics is becoming more and more important at all levels as computers become more sophisticated. This book shows how simple programs can be used to do significant mathematics. The purpose of this book is to give those with some mathematical background a wealth of material with which to appreciate both the power of the microcomputer and its relevance to the study of mathematic...s. The authors cover topics such as number theory, approximate solutions, differential equations and iterative processes, with each chapter self-contained. Many exercises and projects are included giving ready made material for demonstrating mathematical ideas. Only a fundamental knowledge of mathematics is assumed and programming is restricted to 'basic BASIC' which will be understood by any microcomputer. The book may be used as a textbook for algorithmic mathematics at several levels, with all the topics covered appearing in any undergraduate mathematics course.
Bruce, J. W. is the author of MicroComputers and Mathematics - J. W. Bruce - Hardcover, published under ISBN 9780521375153 and 0521375150. Six MicroComputers and Mathematics - J. W. Bruce - Hardcover textbooks are available for sale on ValoreBooks.com, five used from the cheapest price of $22.20, or buy new starting at $229.30.[read more]
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Michael Geisen
M.A., Southern Oregon University
National Teacher of the Year
Professor Michael Geisen was selected from among millions of public-school educators to serve as the National Teacher of the Year in 2008. In this position, he traveled nationally and internationally as an ambassador for the teaching profession, helping educators, policymakers, and community members meet the needs of high-school students in a rapidly changing 21st-century world.
Professor Geisen was a middle-school science teacher at Crook County Middle School in Prineville, Oregon, for 10 years. He has received numerous other teaching awards and accolades. He was selected as the 2009 Outstanding Teacher in K-12 Education by the Oregon Academy of Sciences and was named the Toshiba Innovator in Education in Tokyo, Japan, and the 2007-2008 Oregon Teacher of the Year.
How to Become a SuperStar Student, 2nd Edition ProfessorTransform your students' lives and give them the keys to success with this two-course set. Students will learn vital skills that will carry them through high school, college, and well into the challenges of adult life with How to Become a SuperStar Student, 2nd Edition. And they'll finally grasp all the major concepts of first-year algebra—including variables, order of operations, and functions—with the engaging and accessible Algebra I.
Give your students the keys to success in high school and beyond with this engaging two-course set. They'll learn vital skills about everything from homework to class presentations to exam preparation with How to Become a SuperStar Student, 2nd Edition. And in The Secrets of Mental Math, they'll discover tips and tricks for enhancing their ability to solve a range of mathematical problems—right in their heads.
Give your students the keys to lasting success with this engaging two-course set that gives them effective study skills—and places them inside the minds of their teachers. First, they'll get advice, tips, tricks, and resources for everything from homework and class participation to group presentations and test preparation in How to Become a SuperStar Student, 2nd Edition. Then, they'll explore education from the other side of the classroom by learning what makes for an effective and influential teacher in The Art of Teaching: Best Practices from a Master Educator.
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"If you honor growth, you will consistently do what is best for all kids."
What are NWEA Integrated Math assessments?
Integrated Math assessments are part of the Upper Math test packages include in your MAP license.
Integrated Math does not observe the traditional boundaries between algebra and geometry. Integrated Math courses may vary in the order in which topics are taught, but their one common feature is that algebra and geometry are not taught as separate components. Generally, more emphasis is placed on coordinate geometry and transformations and less is placed on formal axiomatic geometry in Integrated Math courses. It's also common for Integrated Math courses to include a substantial component of statistics and probability, which is not usually found in traditional algebra courses. The goal structures for NWEA's Integrated Math tests are very similar to the MAP 6+ goal structures for many states.
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12,033including precalculusincluding precalculus precalculus
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College Mathematics offers a refreshing approach to the traditional content of the course. Presented in worktext format, Basic College Mathematics focuses on basic number skills: operations and problem-solving with whole numbers, fractions, and decimals. Other topics include geometry, measurement, ratios, proportions, percents, and the real number system (with an introduction to algebra). The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.
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More About
This Textbook
Overview
Math Connects: Concepts, Skills, and Problem Solving was written by the authorship team with the end results in mind. They looked at the content needed to be successful in Geometry and Algebra and backmapped the development of mathematical content, concepts, and procedures to PreK to ensure a solid foundation and seamless transition from grade level to grade level. The series is organized around the new NCTM Focal Points and is designed to meet most state standards. Math Connects focuses on three key areas of vocabulary to build mathematical literacy, intervention options aligned to RtI, and a comprehensive assessment system of diagnostic, formative, and summative
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Functional Skills Maths Entry Level 3 - Study and Test Practice for an Amazon Gift Card of up to £0.25, which you can then spend on millions of items across the site. Trade-in values may vary (terms apply). Learn more
Book DescriptionMy daughter was having problems with her Maths and kept failing the several mock examinations. We were not given any examples from her school.. I phone and was told the name and what to buy. So, I did. What I discovered is that this book covers all they need they need to know for they 11 year examinations. My daughter had not even been told, shown, or even taught this level of maths.
The book is very easy and yes at first you will have to sit down with your child until it comes back to you as it set out different way then parents are taught. Never the less its still easy and will do the trick just make sure they do the questions.
Now my daughter gets high marks in the mocks as its a set of generic books and covers every kind of maths problem and solution. Just as a not we all so bought level 1 and 2 and they were just has helpful.
What they were doing in there classroom was concentrating on just one area so that they would at least get a grade an grade so the school would not loose any funding.
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books.google.com - Students can rely on Moise's clear and thorough presentation of basic geometry theorems. The author assumes that students have no previous knowledge of the subject and presents the basics of geometry from the ground up. This comprehensive approach gives instructors flexibility in teaching. For example,... geometry from an advanced standpoint
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Description of Item
Alpha Omega Publications makes learning about statistics and graphs easy and fun with the LIFEPAC Pre-Algebra & Pre-Geometry I Unit 9 Worktext. This ninth in a series of ten worktexts covers the gathering and organizing of data, central tendency and dispersion, graphs of statistics, and graphs of points. With the help of this outstanding homeschool math curriculum, your seventh grader will be able explain statistics like a pro!
There's more! In addition to text-based instruction, this self-paced math worktext includes colorful illustrations, easy-to-understand examples and models of math concepts, regular self tests, and a teacher-administered unit test—all designed to encourage mastery of important math concepts. And because each LIFEPAC worktext in this Alpha Omega curriculum can be completed in as little as three to four weeks, your student will experience a sense of accomplishment with the completion of each one. What are you waiting for? Order the LIFEPAC Pre-Algebra & Pre-Geometry I Unit 9 Worktext today and help your child become a statistics master
Product:
Lifepac Math Grade 7 Data, Statistics, & Unit 9
Edition Number:
2014
Media Type:
Book
Minimum Grade:
7th Grade
Maximum Grade:
7th Grade
Weight:
0.33 pounds
Length:
10.75 inches
Width:
8.25 inches
Height:
0.125 inches
Vendor Part Number:
MAT 0709
Subject:
Math
Learning Style:
Visual
Teaching Method:
Traditional
There are currently no reviews for Lifepac Math Grade 7 Data, Statistics, & Unit 9.
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Book Description: The Homework Practice Workbook contains two worksheets for every lesson in the Student Edition. This workbook helps students: Practice the skills of the lesson, Use their skills to solve word problems.
Geometry, Homework Practice Workbook
Book Description: The Homework Practice Workbook contains two worksheets for every lesson in the Student Edition. This workbook helps students: Practice the skills of the lesson, Use their skills to solve word problems
| 677.169 | 1 |
More About
This Textbook
Overview
An engrossing, how-to book designed to pique students' interest in the process of modelling in order to acquire both critical and creative modelling skills and the confidence to apply them. The author uses exercises, case studies and models, based on scientific literature, that are freely adaptable and presented in a fresh perspective as interlocking fragments of a mosaic. Examples are chosen from population dynamics, heat flow, optimal harvesting, traffic management and other areas that use models. Includes material for model builders.
Editorial Reviews
Booknews
A textbook that teaches both critical and creative modeling skills, primarily for a senior-level course that gives equal weight to deterministic and probabilistic modeling. It emphasizes both the validation of mathematical models and the rationale behind improving them. The approach embodies the belief that the three most fundamental ideas in mathematical modeling are transience, permanence, and optimality. The minimal mathematical prerequisites are the standard calculus sequence and first courses in linear algebra, ordinary differential equations, and probability and statistics. Probability and statistics are reviewed in an appendix. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Product Details
Related Subjects
Meet the Author
MIKE MESTERTON-GIBBONS, PhD, is Professor of Mathematics at Florida State University. A British citizen, he was educated at the University of York and Oxford University, from which he received his doctorate in mathematics in 1977
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21 "for Dummies" eBooks on the topic of math, logic, statistics etc from basic math to Trigonometry to Calculus II. The only oddball in this collection is the Calculus for Dummies book because it is a 93MB scan as opposed to an official eBook.
Algebra I Essentials for Dummies ISBN: 0470618349 With its use of multiple variables, functions, and formulas algebra can be confusing and overwhelming to learn and easy to forget. Perfect for students who need to review or reference critical concepts, Algebra I Essentials For Dummies provides content focused on key topics only, with discrete explanations of critical concepts taught in a typical Algebra I course, from functions and FOILs to quadratic and linear equations I for Dummies - 2nd Edition ISBN: 0470559640 Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time!
Algebra II Essentials for Dummies ISBN: 0470618400 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 II for Dummies ISBN: 0471775812 Besides being an important area of math for everyday use, algebra is a passport to studying subjects like calculus, trigonometry, number theory, and geometry, just to name a few. To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:
This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!
Basic Math & Pre-Algebra for Dummies ISBN: 0470135372 Get the skills you need to solve problems and equations and be ready for algebra class., and percents, you'll build necessary skills to tackle more advanced topics, such as imaginary numbers, variables, and algebraic equations.
Basic Math & Pre-Algebra Workbook for Dummies ISBN: 0470288177 When you have the right math teacher, learning math can be painless and even fun! Let Basic Math and Pre-Algebra Workbook For Dummies teach you how to overcome your fear of math and approach the subject correctly and directly. A lot of the topics that probably inspired fear before will seem simple when you realize that you can solve math problems, from basic addition to algebraic equations. Lots of students feel they got lost somewhere between learning to count to ten and their first day in an algebra class, but help is here!
Begin with basic topics like interpreting patterns, navigating the number line, rounding numbers, and estimating answers. You will learn and review the basics of addition, subtraction, multiplication, and division. Do remainders make you nervous? You'll find an easy and painless way to understand long division. Discover how to apply the commutative, associative, and distributive properties, and finally understand basic geometry and algebra. Find out how to:
Complete with lists of ten alternative numeral and number systems, ten curious types of numbers, and ten geometric solids to cut and fold, Basic Math and Pre-Algebra Workbook For Dummies will demystify math and help you start solving problems in no time!
Calculus Essentials for Dummies ISBN: 0470618353 Just the key concepts you need to score high in calculus From limits and differentiation to related rates and integration, this practical, friendly guide provides clear explanations of the core concepts you need to take your calculus skills to the next level. It's perfect for cramming, homework help, or review.
Calculus for Dummies ISBN: 0764524981
Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra* Students taking their first calculus course – If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series. * Students who need to brush up on their calculus to prepare for other studies – * Adults of all ages who'd like a good introduction to the subject –* Real-world examples of calculus * The two big ideas of calculus: differentiation and integration * Why calculus works * Pre-algebra and algebra review * Common functions and their graphs * Limits and continuity * Integration and approximating area * Sequences and series
Don't buy the misconception. Sure calculus is difficult – but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off – it's simply the next step in a logical progression.
Calculus II for Dummies ISBN: 047022522X
Got just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with limits, continuity, curve-sketching, natural logarithms, derivatives, integrals, infinite series, and more!
100s of Problems!
* Step-by-step answer sets clearly identify where you went wrong (or right) with a problem * The inside scoop on calculus shortcuts and strategies * Know where to begin and how to solve the most common problems * Use calculus in practical applications with confidence
Differential Equations Workbook for Dummies ISBN: 0470472014 Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step solutions to every equation. You'll also memorize the most-common types of differential equations, see how to avoid common mistakes, get tips and tricks for advanced problems, improve your exam scores, and much more!
Intermediate Statistics for Dummies ISBN: 0470045205 Need to know how to build and test models based on data? Intermediate Statistics For Dummies gives you the knowledge to estimate, investigate, correlate, and congregate certain variables based on the information at hand. The techniques you'll learn in this book are the same techniques used by professionals in medical and scientific fields.
Linear Algebra for Dummies ISBN: 0470430907 Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction.
Logic for Dummies ISBN: 0471799416 Logic concepts are more mainstream than you may realize. There's logic every place you look and in almost everything you do, from deciding which shirt to buy to asking your boss for a raise, and even to watching television, where themes of such shows as CSI and Numbers incorporate a variety of logistical studies. Logic For Dummies explains a vast array of logical concepts and processes in easy-to-understand language that make everything clear to you, whether you're a college student of a student of life.
LSAT Logic Games for Dummies ISBN: 0470525142 Improve your score on the Analytical Reasoning portion of the LSAT If you're like most test–takers, you find the infamous Analytical Reasoning or "Logic Games" section of the LSAT to be the most elusive and troublesome. Now there's help! LSAT Logic Games For Dummies takes the puzzlement out of the Analytical Reasoning section of the exam and shows you that it's not so problematic after all!
Math Word Problems for Dummies ISBN: 0470146605 Everyone remembers story problems, nowadays called "word problems," from elementary school and middle school math. Solving word problems is the latest way to help students who struggle learning basic math skills, as well as to introduce more complicated math concepts. Math Word Problems For Dummies shows students and adult learners how to solve word problems with a method that works for any word problem at any level. Math-wary readers will use basic math to work through problems, focusing on elementary-level skills before moving on to algebra and geometry. Mary Jane Sterling (Peoria, IL), a teacher for more than 25 years, is the author of numerous For Dummies books, including Algebra For Dummies (0-7645-5325-9) and Trigonometry For Dummies (0-7645-6903-1).
Pre-Algebra Essentials For Dummies ISBN: 0470618388 Just the critical concepts you need to score high in pre-algebra This practical, friendly guide focuses on critical concepts taught in a typical pre-algebra course, from fractions, decimals, and percents to standard formulas and simple variable equations. Pre-Algebra Essentials For Dummies is perfect for cramming, homework help, or as a reference for parents helping kids study for exams.
Pre-Calculus Workbook for Dummies ISBN: 0470421312 Get the confidence and the math skills you need to get started with calculus! Are 100s of Problems! Detailed, fully worked-out solutions to problems The inside scoop on quadratic equations, graphing functions, polynomials, and more A wealth of tips and tricks for solving basic calculus problems
Probability for Dummies ISBN: 0471751413 Packed with practical tips and techniques for solving probability problems Increase your chances of acing that probability exam -- or winning at the casino! Whether
Statistics Essentials for Dummies ISBN: 0470618396 Statistics Essentials For Dummies not only provides students enrolled in Statistics I with an excellent high-level overview of key concepts, but it also serves as a reference or refresher for students in upper-level statistics courses. Free of review and ramp-up material, Statistics Essentials For Dummies sticks to the point, with content focused on key course topics only. It provides discrete explanations of essential concepts taught in a typical first semester college-level statistics course, from odds and error margins to confidence intervals and conclusions. This guide is also a perfect reference for parents who need to review critical statistics concepts as they help high school students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
Trigonometry Workbook for Dummies ISBN: 0764587818 From angles to functions to identities - solve trig equations 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? No fear - this hands-on-guide focuses on helping you solve the many types of trigonometry equations you encounter in a focused, step-by-step manner. With just enough refresher explanations before each set of problems, you'll sharpen your skills and improve your performance. You'll see how to work with angles, circles, triangles, graphs, functions, the laws of sines and cosines, and more! 100s of Problems! * Step-by-step answer sets clearly identify where you went wrong (or right) with a problem * Get the inside scoop on graphing trig functions * Know where to begin and how to solve the most common equations * Use trig in practical applications with confidence
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