Note: Each chapter includes an Opener | |
Mid-Chapter Quiz | |
Make a Decision Project | |
Summary | |
Review Exercises, and Test | |
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 | |
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 Partial Sums | |
Geometric Sequences and Series | |
The Binomial Theorem | |
Counting Principles | |
Probability Cumulative Test: Chapters 4–6 | |
Appendices | |
An Introduction to Graphing Utilities | |
Conic Sections | |
Conic Sections | |
Conic Sections and Translations Additional Topics Available on the Web and CD: Review Chapters Fundamental Concepts of Algebra Equations and Inequalities Optional Sections Linear Programming (to accompany Chapter 4) Mathematical Induction (to accompany Chapter 6) Optional Appendix Further Concepts in Statistics (For these additional topics and other resources, please visit math.college.hmco.com/instructors) | |
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