| |
| |
| Note: Each chapter begins with a Chapter Opener, includes a Mid-Chapter Quiz, and concludes with a Chapter Project, a Chapter Summary, Review Exercises, and a Chapter Test | |
| |
| |
| |
| Fundamental Concepts of Algebra | |
| |
| |
| |
| Real Numbers: Order and Absolute Value | |
| |
| |
| |
| The Basic Rules of Algebra | |
| |
| |
| |
| Integer Exponents | |
| |
| |
| |
| Radicals and Rational Exponents | |
| |
| |
| |
| Polynomials and Special Products | |
| |
| |
| |
| Factoring | |
| |
| |
| |
| Fractional Expressions | |
| |
| |
| |
| Equations and Inequalities | |
| |
| |
| |
| Linear Equations | |
| |
| |
| |
| Mathematical Modeling | |
| |
| |
| |
| Quadratic Equations | |
| |
| |
| |
| The Quadratic Formula | |
| |
| |
| |
| Other Types of Equations | |
| |
| |
| |
| Linear Inequalities | |
| |
| |
| |
| Other Types of Inequalities Cumulative Test: Chapters R1-R2 | |
| |
| |
| |
| Functions and Graphs | |
| |
| |
| |
| Graphs of Equations | |
| |
| |
| |
| Lines in the Plane | |
| |
| |
| |
| Linear Modeling and Direct Variation | |
| |
| |
| |
| Functions | |
| |
| |
| |
| Graphs of Functions | |
| |
| |
| |
| Transformations of Functions | |
| |
| |
| |
| The Algebra of Functions | |
| |
| |
| |
| Inverse Functions | |
| |
| |
| |
| Polynomial and Rational Functions | |
| |
| |
| |
| Quadratic Functions and Models | |
| |
| |
| |
| Polynomial Functions of Higher Degree | |
| |
| |
| |
| Polynomial Division | |
| |
| |
| |
| Real Zeros of Polynomial Functions | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| |
| The Fundamental Theorem of Algebra | |
| |
| |
| |
| Rational Functions | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Exponential Functions | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| Properties of Logarithms | |
| |
| |
| |
| Solving Exponential and Logarithmic Equations | |
| |
| |
| |
| Exponential and Logarithmic Models Cumulative Test: Chapters 1-3 | |
| |
| |
| |
| Systems of Equations and Inequalities | |
| |
| |
| |
| Solving Linear Systems using Substitution | |
| |
| |
| |
| Solving Linear Systems using Elimination | |
| |
| |
| |
| Linear Systems in Three or More Variables | |
| |
| |
| |
| Systems of Inequalities | |
| |
| |
| |
| Linear Programming (Optional Topic) | |
| |
| |
| |
| Matrices and Determinants | |
| |
| |
| |
| Matrices and Linear Systems | |
| |
| |
| |
| Operations with Matrices | |
| |
| |
| |
| The Inverse of a Square Matrix | |
| |
| |
| |
| The Determinant of a Square Matrix | |
| |
| |
| |
| Applications of Matrices and Determinants | |
| |
| |
| |
| Sequences, Series, and Probability | |
| |
| |
| |
| Sequences and Summation Notation | |
| |
| |
| |
| Arithmetic Sequences and Series | |
| |
| |
| |
| Geometric Sequences and Series | |
| |
| |
| |
| The Binomial Theorem | |
| |
| |
| |
| Counting Principles | |
| |
| |
| |
| Probability | |
| |
| |
| |
| Mathematical Induction (Optional Topic) Cumulative Test: Chapters 4-6 | |
| |
| |
| |
| Introduction to Graphing Utilities | |
| |
| |
| |
| Conic Sections | |
| |
| |
| |
| Conic Sections | |
| |
| |
| |
| Conic Sections and Translations | |
| |
| |
| |
| Further Concepts in Statistics (web/CD only) | |
| |
| |
| |
| Data and Linear Modeling | |
| |
| |
| |
| Measures of Central Tendency and Dispersion | |