College Algebra with Modeling and Visualization
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. Rockswold’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...
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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. Rockswold’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 AlgebraFor all readers interested in college algebra.
1. Introduction to Functions and Graphs1.1 Numbers, Data, and Problem Solving1.2 Visualizing and Graphing Data1.3 Functions and Their Representations1.4 Types of Functions1.5 Functions and Their Rates of Change2. Linear Functions and Equations2.1 Linear Functions and Models2.2 Equations of Lines2.3 Linear Equations2.4 Linear Inequalities2.5 Absolute Value Equations and Inequalities3. Quadratic Functions and Equations3.1 Quadratic Functions and Models3.2 Quadratic Equations and Problem Solving3.3 Complex Numbers3.4 Quadratic Inequalities3.5 Transformations of Graphs4. More Nonlinear Functions and Equations4.1 More Nonlinear Functions and Their Graphs4.2 Polynomial Functions and Models4.3 Division of Polynomials4.4 Real Zeros of Polynomial Functions4.5 The Fundamental Theorem of Algebra4.6 Rational Functions and Models4.7 More Equations and Inequalities4.8 Radical Equations and Power Functions5. Exponential and Logarithmic Functions5.1 Combining Functions5.2 Inverse Functions and Their Representations5.3 Exponential Functions and Models5.4 Logarithmic Functions and Models5.5 Properties of Logarithms5.6 Exponential and Logarithmic Equations5.7 Constructing Nonlinear Models6. Systems of Equations and Inequalities6.1 Functions and Systems of Equations in Two Variables6.2 Systems of Inequalities in Two Variables6.3 Systems of Linear Equations in Three Variables6.4 Solutions to Linear Systems Using Matrices6.5 Properties and Applications of Matrices6.6 Inverses of Matrices6.7 Determinants7. Conic Sections7.1 Parabolas7.2 Ellipses7.3 Hyperbolas8. Further Topics in Algebra8.1 Sequences8.2 Series8.3 Counting8.4 The Binomial Theorem8.5 Mathematical Induction8.6 ProbabilityReference: Basic Concepts from Algebra and GeometryR.1 Formulas from GeometryR.2 Integer ExponentsR.3 Polynomial ExpressionsR.4 Factoring PolynomialsR.5 Rational ExpressionsR.6 Radical Notation and Rational ExponentsR.7 Radical ExpressionsAppendix A: Using the Graphing CalculatorAppendix B: A Library of FunctionsAppendix C: Partial Fractions
