Just-in-Time Algebra and Trigonometry for Early Transcendentals Calculus

ISBN-10: 0321320506

ISBN-13: 9780321320506

Edition: 3rd 2006 (Revised)

Authors: Guntram Mueller, Ronald I. Brent

List price: $27.60
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Book details

List price: $27.60
Edition: 3rd
Copyright year: 2006
Publisher: Addison-Wesley Longman, Incorporated
Publication date: 5/3/2005
Binding: Paperback
Pages: 224
Size: 8.25" wide x 9.75" long x 0.75" tall
Weight: 0.946
Language: English

Calculus Subjects
Review of Basics
Numbers and Their Disguises
Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals?
Circles, Parabolas, etc
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 Graphs
Functions and Their Graphs
Introduction, equations of lines, power functions, shifting graphs, intersection of curves?
Transcendental Functions
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?
The Chain Rule
Decomposition of Functions
Inner, outer, and outermost functions, decomposing composite functions?
Implicit Differentiation
Equations of Degree 1 Revisited
Solving linear equations involving derivatives?
Related Rates
Word Problems, Algebraic and Transcendental
Applied Max-Min 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, exponential growth and decay?
Integrating Trigonometric Functions
Trigonometric Identitie?
Rewriting trigonometric expressions using identities
The Binomial Theorem
Derivation of The Quadratic Formula
Answers to Exercises
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