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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 | |
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