Cover image for College algebra with modeling and visualization
Title:
College algebra with modeling and visualization
Personal Author:
Edition:
3rd ed.
Publication Information:
Boston : Pearson Addison Wesley, 2006
ISBN:
9780321279088
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30000010106764 QA152.3 R63 2006 Open Access Book
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30000010078791 QA152.3 R63 2006 Unknown
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Summary

Summary

Gary Rockswold focuses on teaching algebra in context, answering the question, Why am I learning this? and ultimately motivating the students to succeed in this class. In addition, the author's understanding of what instructors need from a text (great 'real' examples and lots of exercises) makes this book fun and easy to teach from. Integrating this textbook into your course will be a worthwhile endeavor.


Author Notes

Gary Rockswold- Dr. Gary Rockswold has been teaching mathematics for 25 years at all levels from seventh grade to graduate school, including junior high and high school students, talented youth, vocational, undergraduate, and graduate students, and adult education classes. He is currently employed at Minnesota State University, Mankato, where he is a full professor of mathematics and the chair of the mathematics department. He graduated with majors in mathematics and physics from St. Olaf College in Northfield, Minnesota, where he was elected to Phi Beta Kappa. He received his Ph.D. in applied mathematics from Iowa State University. He has an interdisciplinary background and has also taught physical science, astronomy, and computer science. Outside of mathematics, he enjoys spending time with his wife and two children.


Table of Contents

Chapter 1 Introduction to Functions and Graphs
1.1 Numbers, Data, and Problem Solving
Sets of Numbers
Scientific Notation
Problem Solving
1.2 Visualization of Data
One-Variable Data
Two Variable Data
The Distance Formula
The Midpoint Formula
Graphing with a Calculator (Optional)
Checking Basic Concepts for Sections 1.1 and 1.2
1.3 Functions and Their Representations
Basic Concepts
Representations of Functions
Formal Definition of a Function
Graphing Calculators and Functions (Optional)
Identifying Functions
1.4 Types of Functions and Their Rates of Change
Constant Functions
Linear Functions
Slope as a Rate of Change
Nonlinear Functions
Average Rate of Change
The Difference Quotien?
Checking Basic Concepts for Sections 1.3 and 1.4
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Extended and Discovery Exercises
Chapter 2 Linear Functions and Equations
2.1 Linear Functions and Models
Exact and Approximate Models
Representations of Linear Functions
Modeling with Linear Functions
Linear Regression (Optional)
2.2 Equations of Lines
Forms for Equations of Lines
Determining Intercepts
Horizontal, Vertical, Parallel, and Perpendicular Lines
Modeling Data (Optional)
Interpolation and Extrapolation
Direct Variation Checking Basic Concepts for Sections 2.1 and 2.2
2.3 Linear Equations
Equations
Symbolic Solutions
Graphical and Numerical Solutions
Problem-Solving Strategies
2.4 Linear Inequalities
Inequalities
Interval Notion
Techniques for Solving Inequalities
Compound Inequalities Checking Basic Concepts for Sections 2.3 and 2.4
2.5 Piecewise-Defined Functions
Evaluating and Graphing Piecewise-Defined Functions
The Greatest Integer Function
The Absolute Value Function
Equations and Inequalities Involving Absolute Values Checking Basic Concepts for Section 2.5
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Extended and Discovery Exercises
Chapter 1-2 Cumulative Review Exercises
Chapter 3 Quadratic Functions and Equations
3.1 Quadratic Functions and Models