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Gary Rockswold teaches algebra in context, answering the question, ldquo;Why am I learning this?rdquo; By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswoldrsquo;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.
Author Bio
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
1. Introduction to Functions and Graphs
1.1 Numbers, Data, and Problem Solving
1.2 Visualizing and Graphing Data
1.3 Functions and Their Representations
1.4 Types of Functions
1.5 Functions and Their Rates of Change
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 Absolute Value Equations and Inequalities
3. Quadratic Functions and Equations
3.1 Quadratic Functions and Models
3.2 Quadratic Equations and Problem Solving
3.3 Complex Numbers
3.4 Quadratic Inequalities
3.5 Transformations of Graphs
4. More Nonlinear Functions and Equations
4.1 More Nonlinear Functions and Their Graphs
4.2 Polynomial Functions and Models
4.3 Division of Polynomials
4.4 Real Zeros of Polynomial Functions
4.5 The Fundamental Theorem of Algebra
4.6 Rational Functions and Models
4.7 More Equations and Inequalities
4.8 Radical Equations and Power Functions
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
6. Systems of Equations and Inequalities
6.1 Functions and Systems of Equations in Two Variables
6.2 Systems of 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
7. Conic Sections
7.1 Parabolas
7.2 Ellipses
7.3 Hyperbolas
8. Further Topics in Algebra
8.1 Sequences
8.2 Series
8.3 Counting
8.4 The Binomial Theorem
8.5 Mathematical Induction
8.6 Probability
Reference: Basic Concepts from Algebra and Geometry
R.1 Formulas from Geometry
R.2 Integer Exponents
R.3 Polynomial Expressions
R.4 Factoring Polynomials
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 Radical Expressions
Appendix A: Using the Graphing Calculator
Appendix B: A Library of Functions
Appendix C: Partial Fractions
Gary Rockswold teaches algebra in context, answering the question, ldquo;Why am I learning this?rdquo; By experiencing math through applications, students see how it fits into their lives, and they become motivated to succeed. Rockswoldrsquo;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.
Author Bio
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
Table of Contents
1. Introduction to Functions and Graphs
1.1 Numbers, Data, and Problem Solving
1.2 Visualizing and Graphing Data
1.3 Functions and Their Representations
1.4 Types of Functions
1.5 Functions and Their Rates of Change
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 Absolute Value Equations and Inequalities
3. Quadratic Functions and Equations
3.1 Quadratic Functions and Models
3.2 Quadratic Equations and Problem Solving
3.3 Complex Numbers
3.4 Quadratic Inequalities
3.5 Transformations of Graphs
4. More Nonlinear Functions and Equations
4.1 More Nonlinear Functions and Their Graphs
4.2 Polynomial Functions and Models
4.3 Division of Polynomials
4.4 Real Zeros of Polynomial Functions
4.5 The Fundamental Theorem of Algebra
4.6 Rational Functions and Models
4.7 More Equations and Inequalities
4.8 Radical Equations and Power Functions
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
6. Systems of Equations and Inequalities
6.1 Functions and Systems of Equations in Two Variables
6.2 Systems of 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
7. Conic Sections
7.1 Parabolas
7.2 Ellipses
7.3 Hyperbolas
8. Further Topics in Algebra
8.1 Sequences
8.2 Series
8.3 Counting
8.4 The Binomial Theorem
8.5 Mathematical Induction
8.6 Probability
Reference: Basic Concepts from Algebra and Geometry
R.1 Formulas from Geometry
R.2 Integer Exponents
R.3 Polynomial Expressions
R.4 Factoring Polynomials
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 Radical Expressions
Appendix A: Using the Graphing Calculator
Appendix B: A Library of Functions
Appendix C: Partial Fractions