Precalculus Functions and Graphs

1 Equations and Inequalities 1-1 Linear Equations and Applications 1-2 Systems of Linear Equations and Applications 1-3 Linear Inequalities 1-4 Absolute Value in Equations and Inequalities 1-5 Complex Numbers 1-6 Quadratic Equations and Applications 1-7 Equations Reducible to Quadratic Form 1-8 Polynomial and Rational Inequalities Chapter 1 Group Activity: Rates of Change Chapter 1 Review 2 Graphs and Functions 2-1 Basic Tools: Circles 2-2 Straight Lines 2-3 Functions 2-4 Graphing Functions 2-5 Combining Functions 2-6 Inverse Functions Chapter 2 Group Activity: Mathematical Modeling in Business Chapter 2 Review 1&2 Cumulative Review Exercise 3 Polynomials and Rational Functions 3-1 Polynomial Functions and Graphs 3-2 Finding Rational Zeros of Polynomials 3-3 Approximating Real Zeros of Polynomials 3-4 Rational Functions 3-5 Partial Functions Chapter 3 Group Activity: Interpolating Polynomials Chapter 3 Review 4 Exponential and Logarithmic Functions 4-1 Exponential Functions 4-2 The Exponential Function with Base e 4-3 Logarithmic Functions 4-4 Common and Natural Logarithmic Functions 4-5 Exponential and Logarithmic Equations Chapter 4 Group Activity: Growth of Increasing Functions Chapter 4 Review 3&4 Cumulative Review Exercises 5 Trigonometric Functions 5-1 The Wrapping Function 5-2 Circular Functions 5-3 Angles and Their Measure 5-4 Trigonometric Functions 5-5 Solving Right Triangles 5-6 Graphing Basic Trigonometric Functions 5-7 Graphing y = k+A sin (Bx+C) and y=k+A cos (Bx+C) 5-8 Graphing More General Tangent, cotangent, Secant, and Cosec 5-9 Inverse Trigonometric Functions Chapter 5 Group Activity: A predator - Prey Analysis - Mountain L Chapter 5 Review 6 Trigonometric Identities and Conditional Equations 6-1 Basic Identifies and Their Use 6-2 Sum, Difference, and Cofunction Identifies 6-3 Double-Angle and Half-Angle Identifies 6-4 Product-Sum and Sum-Product Identifies 6-5 Trigonometric Equations Chapter 6 Group Activity: From M sin Bt + N cos Bt to A sin (Bt +C) Chapter 6 Review 7 Additional Topics in Trigonometry 7-1 Law of Sines 7-2 Law of Cosines 7-3 Geometric Vectors 7-4 Algebraic Vectors 7-5 Polar Coordinates and Graphs 7-6 Complex Numbers in Rectangular and Polar Forms 7-7 De Moivre's Theorem Chapter 7 Group Activity: Conic Sections and Planetary Orbits Chapter 7 Review 5,6,&7 Cumulative Review Exercise 8 Systems of Equations and Inequalities 8-1 Systems of Linear Equations and Augmented Matrices 8-2 Gauss-Jordan Elimination 8-3 Systems Involving Second-Degree Equations 8-4 Systems of Linear Inequalities in Two Variables 8-5 Linear Programming Chapter 8 Group Activity: Modeling with Systems of Equations Chapter 8 Review 9 Matrices and Determinants 9-1 Matrices: Basic Operations 9-2 Inverse of a Square Matrix 9-3 Matrix Equations and Systems of Linear Equations 9-4 Determinants 9-5 Properties of Determinants 9-6 Cramer's Rule Chapter 9 Group Activity: Using Matrices to Find Cost, Revenue, and Profit Chapter 9 Review 8&9 Cumulative Review Exercise 10 Sequences and Series 10-1 Sequences and Series 10-2 Mathematical Induction 10-3 Arithmetic and Geometric Sequences 10-4 Binomial Formula 10-5 Multiplication Principle, Permutations, and Combinations Chapter 10 Group Activity: Sequences Specified by Recursion Chapter 10 Review 11 Additional Topics in Analytic Geometry 11-1 Conic Sections; Parabola 11-2 Ellipse 11-3 Hyperbola 11-4 Translation of Axes 11-5 Parametric Equations Chapter 11 Group Activity: Focal Chords Chapter 11 Review 10&11 Cumulative Review Exercise Appendix A Basic Algebraic Operations A-1 AlBarnett, Raymond A. is the author of 'Precalculus Functions and Graphs' with ISBN 9780072412192 and ISBN 0072412194.