Precalculus: Building Concepts and Connections, 1st Edition

Revathi Narasimhan - Kean University

ISBN-10: 0618413014  ISBN-13: 9780618413010

1112 Pages   Casebound

© 2009     Published

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• Overview
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• About the Author
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• Table of Contents
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• Features

Table of Contents

Note: Each chapter concludes with a Chapter Summary and Review Exercises.
1. Functions, Graphs, and Applications
1.1 Functions in General
1.2 Graphs of Functions
1.3 Linear Functions
1.4 Modeling with Linear Functions; Variation
1.5 Intersections of Lines and Linear Inequalities
1.6 Equations and Inequalities Involving Absolute Value
1.7 Piecewise-Defined Functions
2. More About Functions
2.1 Algebra of Functions
2.2 Transformations of the Graph of a Function
2.3 Symmetry; Average Rate of Change of a Function
2.4 Quadratic Functions and Their Zeros
2.5 Complex Numbers and Quadratic Equations
2.6 Quadratic Inequalities
2.7 Equations Reducible to Quadratic Form; Rational and Radical Equations
3. Polynomial and Other Functions
3.1 Graphs of Polynomial Functions
3.2 More on Graphs of Polynomial Functions and Models
3.3 Division of Polynomials; The Remainder and Factor Theorems
3.4 Real Zeros of Polynomials; Solutions of Equations
3.5 The Fundamental Theorem of Algebra; Complex Zeros
3.6 Rational Functions
3.7 Polynomial and Rational Inequalities
4. Exponential and Logarithmic Functions
4.1 Inverse Functions
4.2 Exponential Functions
4.3 Logarithmic Functions
4.4 Properties of Logarithms
4.5 Exponential and Logarithmic Equations
4.6 Exponential, Logistic, and Logarithmic Models
5. Trigonometric Functions
5.1 Angles and Their Measures
5.2 Trigonometric Functions Using the Right Triangle
5.3 Trigonometric Functions of Any Angle: Unit Circle Definition
5.4 Graphs of the Sine and Cosine Functions
5.5 Graphs of the Other Trigonometric Functions
5.6 Inverse Trigonometric Functions
6. Trigonometric Identities and Equations
6.1 Verifying Identities
6.2 Sum and Difference Identities
6.3 Multiple Angle Identities; Sum and Product Identities
6.4 Trigonometric Equations
7. Additional Topics in Trigonometry
7.1 The Law of Sines
7.2 The Law of Cosines
7.3 Vectors
7.4 Trigonometric Form of a Complex Number
8. Analytic Geometry
8.1 The Parabola
8.2 The Ellipse
8.3 The Hyperbola
8.4 General Form of Conic Sections; Rotation
8.5 Polar Coordinates and Graphs
8.6 Polar Equations of Conic Sections
8.7 Parametric Equations
9. Systems of Equations and Linear Inequalities
9.1 Systems of Linear Equations and Inequalities in Two Variables
9.2 Systems of Linear Equations in Three Variables
9.3 Solving Systems of Equations with Matrices
9.4 Operations with Matrices
9.5 Matrices and Inverses
9.6 Determinants and Cramer's Rule
9.7 Partial Fractions
9.8 Systems of Nonlinear Equations
10. More Topics in Algebra
10.1 Sequences
10.2 Sums of Terms of Sequences
10.3 General Sequences and Series
10.4 Counting Methods
10.5 Probability
10.6 The Binomial Theorem
10.7 Mathematical Induction
Appendix A. Algebra Review
A.1 The Real Number System
A.2 Integer Exponents and Order of Operations
A.3 Roots, Radicals, and Rational Exponents
A.4 Polynomials
A.5 Factoring
A.6 Rational Expressions
A.7 Geometry Formulas
A.8 Linear Equations
A.9 Coordinate Geometry: Distance, Midpoints and Circles
A.10 Quadratic Equations
Appendix B. TI-84 Keystroke Guide
B.1 Keys on Your Calculator
B.2 Getting Started
B.3 Editing Your Work
B.4 Entering Common Expressions
B.5 Evaluating Functions
B.6 Building Tables
B.7 Graphing Linear, Quadratic, and Piecewise Functions
B.8 Solving Equations
B.9 Finding Maximum and Minimum of a Function
B.10 Graphing Polynomial and Rational Functions and Inequalities
B.11 Complex Numbers
B.12 Fitting Curves to Data
B.13 Matrices
B.14 Sequences and Series
B.15 Trigonometric Topics