Essentials of College Algebra with Modeling and Visualization

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  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2008-01-01
  • Publisher: Addison Wesley
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Today's algebra students want to know thewhybehind 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 thewhyand streamlining thehow, Rockswold has created a text to serve today's students and help them to truly succeed.

Table of Contents

Introduction to Functions and Graphs
Numbers, Data, and Problem Solving
Visualization of Data
Functions and Their Representations
Types of Functions and Their Rates of Change
Linear Functions and Equations
Linear Functions and Models
Equations of Lines
Linear Equations
Linear Inequalities
Piecewise-Defined Functions
Quadratic Functions and Equations
Quadratic Functions and Models
Quadratic Equations and Problem Solving
Quadratic Inequalities
Transformations of Graphs
Nonlinear Functions And Equations
Nonlinear Functions and Their Graphs
Polynomial Functions and Models
Real Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Rational Functions and Models
Polynomial and Rational Inequalities
Power Functions and Radical Equations
Exponential and Logarithmic Functions
Combining Functions
Inverse Functions and Their Representations
Exponential Functions and Models
Logarithmic Functions and Models
Properties of Logarithms
Exponential and Logarithmic Equations
Constructing Nonlinear Models
Systems of Equations and Inequalities
Functions and Equations in Two Variables
Systems of Equations and Inequalities in Two Variables
Systems of Linear Equations in Three Variables
Solutions to Linear Systems Using Matrices
Properties and Applications of Matrices
Inverses of Matrices
Reference: Basic Concepts from Algebra and Geometry
Formulas from Geometry
Integer Exponents
Polynomial Expressions
Factoring Polynomials
Rational Expressions
Radical Notation and Rational Exponents
Radical Expressions
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