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Just-In-Time Algebra and Trigonometry for Early Transcendentals Calculus (3rd Edition) [Paperback]

Guntram Mueller , Ronald I. Brent
5.0 out of 5 stars  See all reviews (7 customer reviews)


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Paperback, May 13, 2005 --  
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Just-in-Time Algebra and Trigonometry for Early Transcendentals Calculus (4th Edition) Just-in-Time Algebra and Trigonometry for Early Transcendentals Calculus (4th Edition) 5.0 out of 5 stars (7)
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Book Description

May 13, 2005 0321320506 978-0321320506 3

Strong algebra and trigonometry skills are crucial to success in calculus. This text is designed to bolster these skills while readers study calculus. As readers make their way through the calculus course, this supplemental text shows them the relevant algebra or trigonometry topics and points out potential problem spots. The table of contents is organized so that the algebra and trigonometry topics are arranged in the order in which they are needed for calculus.

 

Numbers and Their Disguises: Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals. Completing the Square:  Completing the square in one and two variables. Solving Equations: Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property. Functions and Their Graphs: Introduction, equations of lines, power functions, shifting graphs, intersection of curves. Cyclic Phenomena: The Six Basic Trigonometric Functions: Angles, definitions of the six trigonometric functions, basic identities, special angles, sum formulas. Exponential Functions: The family of exponentials, the function. Composition and Inverse Functions: Composite functions, the idea of inverses, finding an inverse of f given by a graph, finding the inverse of f given by an expression. Logarithmic Functions: Definition of logarithms, logs as inverses of exponential functions, laws of logarithms, the natural logarithm. Inverse Trigonometric Functions: The definition of arcsin x, the functions arctan x and arcsec x, inverse trigonometric identities. Changing the Form of a Function: Factoring, canceling, long division, rationalizing, extracting a factor from under a root. Simplifying Algebraic Expressions: Working with difference quotients and rational functions, canceling common factors, rationalizing expressions. Decomposition of Functions: Inner, outer, and outermost functions, decomposing composite functions. Equations of Degree 1 Revisited: Solving linear equations involving derivatives. Word Problems, Algebraic and Transcendental: Algebraic word problems, the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines, exponential growth and decay. Trigonometric Identities: Rewriting trigonometric expressions using identities.

 

For all readers interested in algebra and trigonometry in early transcendentals calculus.

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Editorial Reviews

About the Author

Guntram B. Mueller received his PhD in Mathematics from the University of Notre Dame. He has taught calculus many times and is very familiar with the typical strengths and weaknesses in the backgrounds of his students. That experience is what guided him, in cooperation with Dr. Ron Brent, in writing the Just-in-Time series. His advice? Buy the book! It's got just what you need, just in time.

 

Ronald I. Brent is a Professor of Mathematics at University of Massachusetts, Lowell, where he has taught since 1987. He earned his PhD in Mathematics from Rensselaer Polytechnic Institute. Dr. Brent is the author of many publications, including three Just-In-Time mathematics texts. His main advice to his calculus students is: “Work on your homework as if your life in this course depends upon it. Because it does!--This text refers to an alternate Paperback edition.

Product Details

  • Paperback: 224 pages
  • Publisher: Pearson; 3 edition (May 13, 2005)
  • Language: English
  • ISBN-10: 0321320506
  • ISBN-13: 978-0321320506
  • Product Dimensions: 8.5 x 0.5 x 10 inches
  • Shipping Weight: 13.6 ounces
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #1,202,725 in Books (See Top 100 in Books)

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9 of 9 people found the following review helpful
5.0 out of 5 stars Excellent for a review, of little value for learning. August 16, 2006
Format:Paperback
If you have previously studied and largely understood algebra and trigonometry and just need a quick review, then this book is right for you. However, if you haven't studied these topics or didn't understand them the first time, then it will be of little value. The coverage is thorough in breadth, starting with the basics of adding and subtracting all types of numbers through logarithms, exponential functions and trigonometry. Only a few pages are devoted to each topic with exercises at the end of each section. Solutions to some of the exercises are given at the end, although in my opinion there should have been more.

While the explanations are short, to the extent that it is possible in a small number of pages, they are through in depth. In a section that I found interesting, the dy/dx notation for a derivative is used. However, knowledge of calculus is not required, the reader is simply being asked to algebraically solve for dy/dx rather than use any knowledge of what it represents. Used in the manner for which it was intended this book is an effective tool in the study of precalculus material. Note: This book is nearly identical to the companion book, "Just-In-Time: Algebra & Trigonometry for Calculus." It would be a waste of money to buy both.
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5.0 out of 5 stars Good one! September 23, 2013
Format:Paperback|Verified Purchase
This book is great. Its helpful and another recommend for some colleges. I recommend this book for students and anyone.
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5.0 out of 5 stars Great transaction March 20, 2013
Format:Paperback|Verified Purchase
The book arrived faster than expected. This is a great book to use as a refresher of concepts that you must have going into Calculus. Not a primary textbook, but a simple crash refresher.
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5.0 out of 5 stars only one dollar February 3, 2013
Format:Paperback|Verified Purchase
I got this for my math class. I used it only once. good thing it didn't cost too much or that'd have been a waste of money
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