| |
| |
| |
| Basic Algebraic Operations | |
| |
| |
| |
| Algebra and Real Numbers | |
| |
| |
| |
| Exponents | |
| |
| |
| |
| Radicals | |
| |
| |
| |
| Polynomials: Basic Operations | |
| |
| |
| |
| Review | |
| |
| |
| |
| Equations and Inequalities | |
| |
| |
| |
| Linear Equations and Applications | |
| |
| |
| |
| Linear Inequalities | |
| |
| |
| |
| Absolute Value | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| |
| Quadratic Equations and Applications | |
| |
| |
| |
| Equations Involving Radicals | |
| |
| |
| |
| Group Activity: Solving a Cubic Equation | |
| |
| |
| |
| Review | |
| |
| |
| |
| Graphs | |
| |
| |
| |
| Cartesian Coordinate System | |
| |
| |
| |
| Distance in the Plane | |
| |
| |
| |
| Equations of a Line | |
| |
| |
| |
| Linear Equations and Models | |
| |
| |
| |
| Group Activity: Rates of Change | |
| |
| |
| |
| Review | |
| |
| |
| |
| Functions | |
| |
| |
| |
| Functions | |
| |
| |
| |
| Graphing Functions | |
| |
| |
| |
| Transformations of Functions | |
| |
| |
| |
| Quadratic Functions | |
| |
| |
| |
| Combining Functions; Composition | |
| |
| |
| |
| Inverse Functions | |
| |
| |
| |
| Group Activity: Mathematical Modeling - Choosing a Long-Distance Calling Plan | |
| |
| |
| |
| Review | |
| |
| |
| |
| Cumulative Review Exercises | |
| |
| |
| |
| Polynomial and Rational Functions | |
| |
| |
| |
| Polynomial Functions And Models | |
| |
| |
| |
| Real Zeros and Polynomial Inequalities | |
| |
| |
| |
| Complex Zeros and Rational Zeros of Polynomials | |
| |
| |
| |
| Rational Functions and Inequalities | |
| |
| |
| |
| Variation and Modeling | |
| |
| |
| |
| Group Activity: Interpolating Polynomials | |
| |
| |
| |
| Review | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Exponential Functions | |
| |
| |
| |
| Exponential Models | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| Logarithmic Models | |
| |
| |
| |
| Exponential and Logarithmic Equations | |
| |
| |
| |
| Group Activity: Growth of Increasing Functions | |
| |
| |
| |
| Review | |
| |
| |
| |
| Cumulative Review Exercises | |
| |
| |
| |
| Additional Topics in Analytic Geometry | |
| |
| |
| |
| Conic Sections; Parabola | |
| |
| |
| |
| Ellipse | |
| |
| |
| |
| Hyperbola | |
| |
| |
| |
| Group Activity: Focal Chords | |
| |
| |
| |
| Review | |
| |
| |
| |
| Systems of Equations and Inequalities; Matrices | |
| |
| |
| |
| Systems of Linear Equations | |
| |
| |
| |
| Solving Linear Systems Using Gauss-Jordan Elimination | |
| |
| |
| |
| Matrix Operations | |
| |
| |
| |
| Solving Linear Systems Using Inverse Matrices | |
| |
| |
| |
| Determinants and Cramer's Rule | |
| |
| |
| |
| Chapter 7 Group Activity: Modeling with Systems of Linear Equations | |
| |
| |
| |
| Systems of Nonlinear Equations | |
| |
| |
| |
| Systems of Linear Inequalities | |
| |
| |
| |
| Linear Programming | |
| |
| |
| |
| Review | |
| |
| |
| |
| Sequences and Series | |
| |
| |
| |
| Sequences and Series | |
| |
| |
| |
| Mathematical Induction | |
| |
| |
| |
| Arithmetic and Geometric Sequences | |
| |
| |
| |
| Counting Techniques: Multiplication Principle, Permutations, and Combinations | |
| |
| |
| |
| Sample Spaces and Probability | |
| |
| |
| |
| Binomial Formula | |
| |
| |
| |
| Group Activity: Sequences Specified by Recursion Formulas | |
| |
| |
| |
| Review | |
| |
| |
| |
| Cumulative Review Exercises | |
| |
| |
| |
| Special Topics | |
| |
| |
| |
| Scientific Notation and Significant Digits | |
| |
| |
| |
| Partial Fractions | |
| |
| |
| |
| Parametric Equations | |
| |
| |
| |
| |
| |
| |
| Geometric Formulas | |