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Basic Concepts of Algebra | |
The Real Numbers and Their Properties | |
Integer Exponents and Scientific Notation | |
Polynomials | |
Factoring Polynomials | |
Rational Expressions | |
Rational Exponents and Radicals | |
Topics in Geometr? | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B | |
Equations and Inequalities | |
Linear Equations in One Variable | |
Applications of Linear Equations | |
Complex Numbers | |
Quadratic Equations | |
Solving Other Types of Equations | |
Linear Inequalities | |
Polynomial and Rational Inequalities | |
Equations and Inequalities Involving Absolute Value | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B | |
Graphs and Functions | |
The Coordinate Plane | |
Graphs of Equations | |
Lines | |
Relations and Functions | |
A Library of Functions | |
Transformations of Functions | |
Combining Functions; Composite Functions | |
Inverse Functions | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B | |
Cumulative Review Chapters P-2 | |
Polynomial and Rational Functions | |
Quadratic Functions | |
Polynomial Functions | |
Dividing Polynomials and Rational Zeros Test | |
Zeros of a Polynomial Function | |
Rational Functions | |
Variation | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-3 | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
The Natural Exponential Function | |
Logarithmic Functions | |
Rules of Logarithms | |
Exponential and Logarithmic Equations | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-4 | |
Systems of Equations and Inequalities | |
Systems of Linear Equations in Two Variables | |
Systems of Linear Equations in Three Variables | |
Partial-Fraction Decomposition | |
Systems of Linear Inequalities; Linear Programming | |
Nonlinear Systems of Equations and Inequalities | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-5 | |
Matrices and Determinants | |
Matrices and Systems of Equations | |
Matrix Algebra | |
The Matrix Inverse | |
Determinants and Cramers Rule | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-6 | |
The Conic Sections | |
Conic Sections: Overview | |
The Parabola | |
The Ellipse | |
The Hyperbola | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-7 | |
Further Topics in Algebra | |
Sequences and Series | |
Arithmetic Sequences; Partial Sums | |
Geometric Sequences and Series | |
Mathematical Induction | |
The Binomial Theorem | |
Counting Principles | |
Probability | |
Summary | |
Review Exercises | |
Practice Test A | |
Practice Test B Cumulative Review Chapters 1-8? | |
Answers to Selected Exercise? | |
Credits | |
Index of Applications | |
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