Some Basic Concepts Of Algebra: A Review | |
Some Basic Ideas | |
Exponents | |
Polynomials | |
Factoring Polynomials | |
Rational Expressions | |
Radicals | |
Relationships Between Exponents and Roots | |
Complex Numbers | |
Chapter 0 Summary | |
Chapter 0 Review Problem Set | |
Chapter 0 Test | |
Equations, Inequalities, And Problem Solving | |
Linear Equations and Problem Solving | |
More Equations and Applications | |
Quadratic Equations | |
Applications of Linear and Quadratic Equations | |
Miscellaneous Equations | |
Inequalities | |
Inequalities Involving Quotients and Absolute Value | |
Chapter 1 Summary | |
Chapter 1 Review Problem Set | |
Chapter 1 Test | |
Coordinate Geometry And Graphing Techniques | |
Coordinate Geometry | |
Graphing Techniques: Linear Equations and Inequalities | |
Determining the Equation of a Line | |
More on Graphing | |
Circles, Ellipses, and Hyperbolas | |
Chapter 2 Summary | |
Chapter 2 Review Problem Set | |
Chapter 2 Test | |
Cumulative Review Problem Set (Chapters 0-2) | |
Functions | |
Concept of a Function | |
Linear Functions and Applications | |
Quadratic Functions | |
More Quadratic Functions and Applications | |
Transformations of Some Basic Curves | |
Combining Functions | |
Inverse Functions | |
Chapter 3 Summary | |
Chapter 3 Review Problem Set | |
Chapter 3 Test | |
Cumulative Review Problem Set (Chapters 0-3) | |
Polynomial and Rational Functions | |
Dividing Polynomials | |
Remainder and Factor Theorems | |
Polynomial Equations | |
Graphing Polynomial Functions | |
Graphing Rational Functions | |
More on Graphing Rational Functions | |
Direct and Inverse Variation | |
Chapter 4 Summary | |
Chapter 4 Review Problem Set | |
Chapter 4 Test | |
Cumulative Review Problem Set (Chapters 0-4) | |
Exponential And Logarithmic Functions | |
Exponents and Exponential Functions | |
Applications of Exponential Functions | |
Logarithms | |
Logarithmic Functions | |
Exponential and Logarithmic Equations: Problem Solving | |
Chapter 5 Summary | |
Chapter 5 Review Problem Set | |
Chapter 5 Test | |
Cumulative Review Problem Set (Chapters 0-5) | |
Systems Of Equations | |
Systems of Two Linear Equations in Two Variables | |
Systems of Three Linear Equations in Three Variables | |
Matrix Approach to Solving Systems | |
Determinants | |
Cramer's Rule | |
Partial Fractions | |
Chapter 6 Summary | |
Chapter 6 Review Problem Set | |
Chapter 6 Test | |
Cumulative Review Problem Set (Chapters 0-6) | |
Algebra Of Matrices | |
Algebra of 2 + 2 Matrices | |
Multiplicative Inverses | |
m + n Matrices | |
Systems Involving Linear Inequalities: Linear Programming | |
Chapter 7 Summary | |
Chapter 7 Review Problem Set | |
Chapter 7 Test | |
Conic Sections | |
Parabolas | |
Ellipses | |
Hyperbolas | |
Systems Involving Nonlinear Equations | |
Chapter 8 Summary | |
Chapter 8 Review Problem Set | |
Chapter 8 Test | |
Cumulative Review Problem Set (Chapters 0-8) | |
Sequences And Mathematical Induction | |
Arithmetic Sequences | |
Geometric Sequences | |
Another Look at Problem Solving | |
Mathematical Induction | |
Chapter 9 Summary | |
Chapter 9 Review Problem Set | |
Chapter 9 Test | |
Counting Techniques, Probability, And The Binomial Theorem | |
Fundamental Principle of Counting | |
Permutations and Combinations | |
Probability | |
Some Properties of Probability and Expected Value | |
Conditional Probability: Dependent and Independent Events | |
Binomial Theorem | |
Chapter 10 Summary | |
Chapter 10 Review Problem Set | |
Chapter 10 Test | |
Answers to Odd-Numbered Problems and all Chapter Review, Chapter Test, and Cumulative Review Problems | |
Answers to Selected Even-Numbered Problems | |
Index | |
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