College Algebra: Building Concepts and Connections, 1st Edition

Revathi Narasimhan - Kean University

ISBN-10: 0618260358  ISBN-13: 9780618260355

832 Pages   Casebound

© 2009     Published

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

Table of Contents

Note: Each chapter concludes with a Chapter Summary, Review Exercises, and a Chapter Test.
P. Algebra and Geometry Review
P.1 The Real Number System
P.2 Integer Exponents and Scientific Notation
P.3 Roots, Radicals, and Rational Exponents
P.4 Polynomials
P.5 Factoring
P.6 Rational Expressions
P.7 Geometry Review
P.8 Solving Basic Equations
1. Functions, Graphs, and Applications
1.1 Functions
1.2 Graphs of Functions
1.3 Linear Functions
1.4 Modeling with Linear Functions; Variation
1.5 Intersections of Lines and Linear Inequalities
2. More About Functions and Equations
2.1 Coordinate Geometry: Distance, Midpoints, and Circles
2.2 The Algebra of Functions
2.3 Transformations of the Graph of a Function
2.4 Symmetry and Other Properties of Functions
2.5 Equations and Inequalities Involving Absolute Value
2.6 Piecewise-Defined Functions
3. Quadratic Functions
3.1 Graphs of Quadratic Functions
3.2 Quadratic Equations
3.3 Complex Numbers and Quadratic Equations
3.4 Quadratic Inequalities
3.5 Equations That Are Reducible to Quadratic Form; Rational and Radical Equations
4. Polynomial and Rational Functions
4.1 Graphs of Polynomial Functions
4.2 More on Graphs of Polynomial Functions and Models
4.3 Division of Polynomials; The Remainder and Factor Theorems
4.4 Real Zeros of Polynomials; Solutions of Equations
4.5 The Fundamental Theorem of Algebra; Complex Zeros
4.6 Rational Functions
4.7 Polynomial and Rational Inequalities
5. Exponential and Logarithmic Functions
5.1 Inverse Functions
5.2 Exponential Functions
5.3 Logarithmic Functions
5.4 Properties of Logarithms
5.5 Exponential and Logarithmic Equations
5.6 Exponential, Logistic, and Logarithmic Models
6. Systems of Equations and Inequalities
6.1 Systems of Linear Equations and Inequalities in Two Variables
6.2 Systems of Linear Equations in Three Variables
6.3 Solving Systems of Equations Using Matrices
6.4 Operations on Matrices
6.5 Matrices and Inverses
6.6 Determinants and Cramer's Rule
6.7 Partial Fractions
6.8 Systems of Nonlinear Equations
7. Conic Sections
7.1 The Parabola
7.2 The Ellipse
7.3 The Hyperbola
8. More Topics in Algebra
8.1 Sequences
8.2 Sums of Terms of Sequences
8.3 General Sequences and Series
8.4 Counting Methods
8.5 Probability
8.6 The Binomial Theorem
8.7 Mathematical Induction
Appendix A. Keystroke Guide for the TI-83/84 Calculator Series
A.1 Keys on Your Calculator
A.2 Getting Started
A.3 Editing and Deleting
A.4 Entering and Evaluating Common Expressions
A.5 Evaluating and Evaluating Functions
A.6 Building a Table
A.7 Graphing Linear, Quadratic, and Piecewise-Defined Functions
A.8 Graphing Polynomials, Rational Functions, and Inequalities
A.9 Solving Equations
A.10 Finding the Maximum and Minimum of a Function
A.11 Complex Numbers
A.12 Fitting Curves to Data (Regression)
A.13 Matrices
A.14 Sequences and Series