Raymond Barnett,
Merritt College Michael Ziegler,
Deceased Karl Byleen,
Marquette University
ISBN: 0072867396 Copyright year: 2008
Table of Contents
Chapter R: Basic Algebraic Operations R-1 Algebra and Real Numbers R-2 Exponents R-3 Radicals R-4 Polynomials: Basic Operations R-5 Polynomials: Factoring R-6 Rational Expressions: Basic Operations
Chapter R Review
Chapter R Group Activity: Rational Number Representations Chapter 1: Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Linear Inequalities 1-3 Absolute Value 1-4 Complex Numbers 1-5 Quadratic Equations and Applications 1-6 Equations Involving Radicals
Chapter 1 Review
Chapter 1 Group Activity: Solving a Cubic Equation Chapter 2: Graphs 2-1 Cartesian Coordinate system 2-2 Distance in the Plane 2-3 Equations of a line 2-4 Linear Equations and Models
Chapter 2 Review
Chapter 2 Group Activity: Rates of Change Chapter 3: Functions 3-1 Functions 3-2 Graphing Functions 3-3 Transformations of Functions 3-4 Quadratic Functions 3-5 Combining Functions; Composition 3-6 Inverse Functions
Chapter 3 Review
Chapter 3 Group Activity: Mathematical Modeling: Choosing a Long-Distance Calling Plan
Chapters 1-3 Cumulative Review Exercises Chapter 4: Polynomials and Rational Functions 4-1 Polynomial Functions and Models 4-2 Real Zeros and Polynomial Inequalities 4-3 Complex Zeros and Rational Zeros of Polynomials 4-4 Rational Functions and Inequalities 4-5 Variation and Modeling
Chapter 4 Review
Chapter 4 Group Activity: Interpolating Polynomials Chapter 5: Exponential and Logarithmic Functions 5-1 Exponential Functions 5-2 Exponential Models 5-3 Logarithmic Functions 5-4 Logarithmic Models 5-5 Exponential and Logarithmic Equations
Chapter 5 Review
Chapter 5 Group Activity: Growth of Increasing Functions
Chapters 4-5 Cumulative Review Exercises Chapter 6: Trigonometric Functions 6-1 Angles and Their Measure 6-2 Trigonometric Functions: A Unit Circle Approach 6-3 Solving Right Triangles 6-4 Trigonometric Functions: Properties and Graphs 6-5 More General Trigonometric Functions 6-6 Inverse Trigonometric Functions
Chapter 6 Review
Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer Chapter 7: Trigonometric Identities and Conditional Equations 7-1 Basic Identities and Their Use 7-2 Sum, Difference, and Cofunction Identities 7-3 Double-Angle and Half-Angle Identities 7-4 Product-Sum and Sum-Product Identities 7-5 Trigonometric Equations
Chapter 7 Review
Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin(Bt + C): A Harmonic Analysis Tool Chapter 8: Additional Topics in Trigonometry 8-1 Law of Sines 8-2 Law of Cosines 8-3 Vectors in the Plane 8-4 Polar Coordinates and Graphs 8-5 Complex Numbers and De Moivre's Theorem
Chapter 8 Review
Chapter 8 Group Activity: Conic Sections and Planetary Orbits
Chapters 6-8 Cumulative Review Exercises Chapter 9: Additional Topics in Analytic Geometry 9-1 Conic Sections; Parabolas 9-2 Ellipses 9-3 Hyperbolas 9-4 Rotation of Axes
Chapter 9 Review
Chapter 9 Group Activity: Focal Chords Chapter 10: Systems of Equations and Inequalities; Matrices 10-1 Systems of Linear Equations: Graphing and Substitution 10-2 Systems of Linear Equations: Elimination 10-3 Systems of Linear Equations: Gauss-Jordan Elimination 10-4 Matrices: Basic Operations 10-5 Systems of Linear Equations: Matrix Inverse Methods 10-6 Systems of Nonlinear Equations 10-7 Systems of Linear Inequalities in Two Variables 10-8 Linear Programming
Chapter 10 Review
Chapter 10 Group Activity: Modeling With Systems of Linear Equations Chapter 11: Sequences and Series 11-1 Sequences and Series 11-2 Mathematical Induction 11-3 Arithmetic and Geometric Sequences 11-4 Counting Techniques: Multiplication Principle, Permutations, and Combinations 11-5 Sample Spaces and Probability 11-6 Binomial Formula
Chapter 11 Review
Chapter 11 Group Activity: Sequences Specified by Recursion Formulas
Chapters 9-11 Cumulative Review Exercises Appendix A: Special Topics A-1 Scientific Notation and Significant Digits A-2 Partial Fractions A-3 Parametric Equations Appendix B: Geometric Formulas
2008