Precalculus with Modeling and Visualization

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  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2009-01-22
  • Publisher: Pearson
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Gary Rockswold teaches algebra in context, answering the question, "Why am I learning this?" By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswoldrs"s focus on conceptual understanding helps students make connections between the concepts and as a result, students see the bigger picture of math and are prepared for future courses. Introduction to Functions and Graphs; Linear Functions and Equations; Quadratic Functions and Equations; More Nonlinear Functions and Equations; Exponential and Logarithmic Functions; Trigonometric Functions; Trigonometric Identities and Equations; Further Topics in Trigonometry; Systems of Equations and Inequalities; Conic Sections; Further Topics in Algebra For all readers interested in college algebra and trigonometry.

Author Biography

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

Introduction to Functions and Graphs
Numbers, Data, and Problem Solving
Visualizing and Graphing Data
Functions and Their Representations
Types of Functions
Functions and Their Rates of Change
Linear Functions and Equations
Linear Functions and Models
Equations of Lines
Linear Equations
Linear Inequalities
Absolute Value Equations and Inequalities
Quadratic Functions and Equations
Quadratic Functions and Models
Quadratic Equations and Problem Solving
Complex Numbers
Quadratic Inequalities
Transformations of Graphs
More Nonlinear Functions and Equations
More Nonlinear Functions and Their Graphs
Polynomial Functions and Models
Division of Polynomials
Real Zeros of Polynomial Functions
The Fundamental Theorem of Algebra
Rational Functions and Models
More Equations and Inequalities
Radical Equations and Power Functions
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
Trigonometric Functions
Angles and Their Measure
Right Triangle Trigonometry
The Sine and Cosine Functions and Their Graphs
Other Trigonometric Functions and Their Graphs
Graphing Trigonometric Functions
Inverse Trigonometric Functions
Trigonometric Identities and Equations
Fundamental Identities
Verifying Identities
Trigonometric Equations
Sum and Difference Identities
Multiple-Angle Identities
Further Topics in Trigonometry
Law of Sines
Law of Cosines
Parametric Equations
Polar Equations
Trigonometric Form and Roots of Complex Numbers
Systems of Equations and Inequalities
Functions and Systems of Equations in Two Variables
Systems of Inequalities in Two Variables
Systems of Linear Equations in Three Variables
Solutions to Linear Systems Using Matrices
Table of Contents provided by Publisher. All Rights Reserved.

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