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Essentials of College Algebra With Modeling and Visualization

Essentials of College Algebra With Modeling and Visualization - 3rd edition

ISBN13: 978-0321448897

Cover of Essentials of College Algebra With Modeling and Visualization 3RD 08 (ISBN 978-0321448897)
ISBN13: 978-0321448897
ISBN10: 0321448898
Cover type:
Edition/Copyright: 3RD 08
Publisher: Addison-Wesley Longman, Inc.
Published: 2008
International: No

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Essentials of College Algebra With Modeling and Visualization - 3RD 08 edition

ISBN13: 978-0321448897

Gary K. Rockswold

ISBN13: 978-0321448897
ISBN10: 0321448898
Cover type:
Edition/Copyright: 3RD 08
Publisher: Addison-Wesley Longman, Inc.

Published: 2008
International: No
Summary

Today's algebra students want to know the why behind what they are learning and it is this that motivates them to succeed in the course. By focusing on algebra in a real-world context, Gary Rockswold gracefully and succinctly answers this need. As many topics taught in today's college algebra course aren't as crucial to students as they once were, Gary has developed this streamlined text, covering linear, quadratic, nonlinear, exponential, and logarithmic functions and systems of equations and inequalities, to get to the heart of what students need from this course. By answering the why and streamlining the how, Rockswold has created a text to serve today's students and help them to truly succeed.

Table of Contents

Chapter 1. INTRODUCTION TO FUNCTIONS AND GRAPHS

1.1 Numbers, Data, and Problem Solving
1.2 Visualization of Data
1.3 Functions and Their Representations
1.4 Types of Functions and Their Rates of Change

Chapter 2. LINEAR FUNCTIONS AND EQUATIONS

2.1 Linear Functions and Models
2.2 Equations of Lines
2.3 Linear Equations
2.4 Linear Inequalities
2.5 Piecewise-Defined Functions

Chapter 3. QUADRATIC FUNCTIONS AND EQUATIONS

3.1 Quadratic Functions and Models
3.2 Quadratic Equations and Problem Solving
3.3 Quadratic Inequalities
3.4 Transformations of Graphs

Chapter 4. NONLINEAR FUNCTIONS AND EQUATIONS

4.1 Nonlinear Functions and Their Graphs
4.2 Polynomial Functions and Models
4.3 Real Zeros of Polynomial Functions
4.4 The Fundamental Theorem of Algebra
4.5 Rational Functions and Models
4.6 Polynomial and Rational Inequalities
4.7 Power Functions and Radical Equations

Chapter 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

5.1 Combining Functions
5.2 Inverse Functions and Their Representations
5.3 Exponential Functions and Models
5.4 Logarithmic Functions and Models
5.5 Properties of Logarithms
5.6 Exponential and Logarithmic Equations
5.7 Constructing Nonlinear Models

Chapter 6. SYSTEMS OF EQUATIONS AND INEQUALITIES

6.1 Functions and Equations in Two Variables
6.2 Systems of Equations and Inequalities in Two Variables
6.3 Systems of Linear Equations in Three Variables
6.4 Solutions to Linear Systems Using Matrices
6.5 Properties and Applications of Matrices
6.6 Inverses of Matrices
6.7 Determinants

Reference. Basic Concepts from Algebra and Geometry

R.1 Formulas from Geometry
R.2 Circles
R.3 Integer Exponents
R.4 Polynomial Expressions
R.5 Factoring Polynomials
R.6 Rational Expressions
R.7 Radical Notation and Rational Exponents
R.8 Radical Expressions

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