Overview0. SOME BASIC CONCEPTS OF ALGEBRA: A REVIEW. Some Basic Ideas. Exponents. Polynomials. Factoring Polynomials. Rational Expressions. Radicals. Relationship Between Exponents and Roots. Complex Numbers. Chapter 0 Summary. Chapter 0 Review Problem Set. Chapter 0 Test. 1. 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. Quadratic and Rational Inequalities. Absolute Value Equations and Inequalities. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test. 2. COORDINATE GEOMETRY AND GRAPHING TECHNIQUES. Coordinate Geometry. Graphing Techniques: Linear Equations and Inequalities. Determining the Equation of a Li ne. More on Graphing. Circles, Ellipses, and Hyperbolas. Chapter 1 Summary. Chapter 1 Review Problem Set. Chapter 1 Test. Cumulative Review Problem Set (Chapters 0-2). 3. FUNCTIONS. Concept of a Function. Linear Functions and Applications. Quadratic Equations. Transformations of Some Basic Curves. Combining Functions. Direct and Inverse Variation. Chapter 3 Summary. Chapter 3 Review Problem Set. Chapter 3 Test. Cumulative Review Problem Set (Chapters 0-3). 4. POLYNOMIAL AND RATIONAL FUNCTIONS. Dividing Polynomials and Synthetic Division. Remainder and factor Theorems. Polynomial Equations. Graphing Polynomial Functions. Graphing Rational Functions. More on Graphing Rational Functions. Chapter 4 Summary. Chapter 4 Review Problem Set. Chapter 4 Test. Cumulative Review Problem Set (Chapters 0-4). 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponents and Exponential Functions. Applications of Exponential Functions. Inverse Functions. Logarithms. Logarithmic Functions. Exponential Equations, Logarithmic Equations, and Problem Solving. Chapter 5 Summary. Chapter 5 Review Problem Set. Chapter 5 Test. Cumulative Review Problem Set (Chapters 0-5). 6. SYSTEMS OF EQUATIONS. Systems of Two Linear Equations in Two Variables. Systems of Three Linear Equations in Three Variables. Matrix Approach to Solving Linear 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). 7. ALGEBRA OF MATRICES. Algebra of 2 x 2 Matrices. Multiplicative Inverses. m x n Matrices. Systems of Linear Inequalities: Linear Programming. Chapter 7 Summary. Chapter 7 Review Problem Set. Chapter 7 Test. Cumulative Review Problem Set (Chapters 0-7). 8. 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). 9. 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.