# Just-In-Time Algebra and Trigonometry for Early Transcendentals Calculus

• ISBN13:

• ISBN10:

## 0321320506

• Edition: 3rd
• Format: Paperback
• Publisher: Pearson
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### Summary

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 offgiven by a graph, finding the inverse offgiven 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 arcsinx, the functions arctanxand arcsecx, 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.

 Review of Basics
 Numbers and Their Disguises
 Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals
1(24)
 Circles, Parabolas, etc.
 Completing the Square
 Completing the square in one and two variables
25(5)
 Equations
 Solving Equations
 Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property
30(17)
 Algebraic Functions and Graphs
 Functions and Their Graphs
 Introduction, equations of lines, power functions, shifting graphs, intersection of curves
47(28)
 Transcendental Functions
 Cyclic Phenomena: The Six Basic Trigonometric Functions
 Angles, definitions of the six trigonometric functions, basic identities, special angles, sum formulas
75(20)
 Exponential Functions
 The family of exponential functions, the function ex
95(6)
 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
101(12)
 Logarithmic Functions
 Definition of logarithms, logarithms as inverses of exponential functions, laws of logarithms, the natural logarithm
113(13)
 Inverse Trigonometric Functions
 The definition of arcsin x, the functions arctan x and arcsec x, inverse trigonometric identities
126(13)
 Limits
 Changing the Form of a Function
 Factoring, canceling, long division, rationalizing, extracting a factor from under a root
139(14)
 Derivatives
 Simplifying Algebraic Expressions
 Working with difference quotients and rational functions, canceling common factors, rationalizing expressions
153(7)
 The Chain Rule
 Decomposition of Functions
 Inner, outer, and outermost functions, decomposing composite functions
160(2)
 Implicit Differentiation
 Equations of Degree 1 Revisited
 Solving linear equations involving derivatives
162(4)
 Related Rates, Applied Max-Min Problems
 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
166(12)
 Integrating Trigonometric Functions
 Trigonometric Identities
 Rewriting trigonometric expressions using identities
178(5)
 Appendices (Use as needed)
 The Binomial Theorem
183(3)