Just-in-Time Algebra and Trigonemtry for Calculus

ISBN-10: 032167104X

ISBN-13: 9780321671042

Edition: 4th 2013

List price: $34.60 Buy it from $9.98 Rent it from $15.98
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Description: This is a guide to algebra and trigonometry for calculus.

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Book details

List price: $34.60
Edition: 4th
Copyright year: 2013
Publisher: Pearson Education
Publication date: 7/17/2012
Binding: Paperback
Pages: 216
Size: 8.50" wide x 11.25" long x 0.75" tall
Weight: 0.990
Language: English

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
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