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Are you ready to ace calculus at the college level? With this book, you will be! Professors often say "Students don't fail the calculus, they fail the algebra." In other words, even if you understand calculus, your algebra and trigonometry skills can hold you back. Here's a quick quiz-do you remember how to:
If not, that's where this book comes in handy! Just-in-Time is designed to bolster the algebra and trigonometry skills you'll need while you study calculus. As you make your way through the course, Just-in-Time is with you every step of the way, showing you the exact algebra or trigonometry topics that you'll need and pointing out potential problem spots. The easy-to-use Table of Contents features the calculus subject listed directly across from the algebra/trigonometry skills needed to master that topic. Use this book as your study companion and put your anxiety to rest!
| Calculus Topic: Review of Basics | |
| Numbers and Their Disguises | |
| Brackets, multiplying and dividing fractions, adding and subtracting fractions, exponents, roots, percent, scientific notation, calculators, rounding, intervals | |
| Calculus Topic: Circles, Parabolas, etc | |
| Completing the Square | |
| Completing the square in one and two variables | |
| Calculus Topic: Equations | |
| Solving Equations | |
| Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property | |
| Calculus Topic: Functions and Graphs | |
| Functions and Their Graphs | |
| Introduction, equations of lines, power functions, shifting graphs, intersection of curves | |
| Calculus Topic: Limits | |
| Changing the Form of a Function | |
| Factoring, canceling, long division, rationalizing, extracting a factor from under a radical | |
| Calculus Topic: Derivatives | |
| Simplifying Algebraic Expressions | |
| Working with difference quotients and rational functions, canceling common factors, rationalizing expressions | |
| Calculus Topic: Derivatives of Trigonometric Functions | |
| Cyclic Phenomena: the Six Basic Trigonometric Functions | |
| Angles, definitions of the six trigonometric functions, special angles, graphs involving sin x and cos x, graphs of complex trigonometric functions | |
| Calculus Topic: the Chain Rule | |
| Composition and Decomposition of Functions | |
| Composite functions, inner, outer, and outermost functions, decomposing composite functions | |
| Calculus Topic: Implicit Differentiation | |
| Equations of Degree 1 Revisited | |
| Solving linear equations involving derivatives | |
| Calculus Topic: Related Rates, Applied Max-Min Problems | |
| Word Problems | |
| 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 | |
| Calculus Topic: Integrating Trigonometric Functions | |
| Trigonometric Identities | |
| Rewriting trigonometric expressions using identities | |
| Appendices | |
| Exponential Functions | |
| Inverse Functions | |
| Logarithmic Functions | |
| Inverse Trigonometric Functions | |
| The Binomial Theorem | |
| Derivation of the Quadratic Formula | |
| Answers to Exercises | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9780321671042
ISBN-10: 032167104X
Audience:
Tertiary; University or College
Format:
Paperback
Language:
English
Number Of Pages: 216
Published: 27th July 2012
Dimensions (cm): 23.5 x 19.1
x 0.8
Weight (kg): 0.41
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