College Algebra

Preface Chapter 1. The Real Number System 1.1 The Real Numbers 1.2 Properties of the Real Numbers 1.3 Positive Integer Exponents 1.4 Combining Algebraic Expressions 1.5 Key Concepts Chapter 2. Polynomials 2.1 Fundamental Operations on Polynomials 2.2 Special Products 2.3 Factoring:Common Factors and Special Binomials 2.4 Factors of Trinomials 2.5 Further Factoring 2.6 Key Concepts Chapter 3. Fractions 3.1 Equivalent Fractions and the Fundamental Principle 3.2 Multiplication and Division of Fractions 3.3 Addition and Subtraction of Fractions 3.4 Complex Fractions 3.5 Key Concepts Chapter 4. Rational Exponents and Radicals 4.1 Integer Exponents 4.2 Radicals 4.3 Rational Exponents 4.4 Key Concepts Chapter 5. Linear and Quadratic Equations and Innequalities 5.1 Linear Equations 5.1 Applications 5.3 Complex Numbers 5.4 Quadratic Equations 5.5 Equations Which Lead to Quadratic Equations 5.6 Applications 5.7 Inequallities 5.8 Equations and Inequalities That Involve Absolute Values 5.9 Key Concepts Chapter 6. Graphs and Functions 6.1 The Cartesian Coordinate System 6.2 Graphs 6.3 Introduction to the Conics 6.4 Symmetry and Translation of Graphs 6.5 Functions 6.6 The Graph of a Function 6.7 Linear Functions 6.8 Inverse Functions 6.9 Variation 6.10 Key Concepts Chapter 7. Polynomial and Rational Functions 7.1 Quadratic Functions 7.2 Graphs of Polynomial Functions 7.3 The Remainder and Factor Theorems 7.4 Zeros of Polynomials 7.5 Locating the Real Zeros 7.6 Rational Zeros 7.7 Approximations and Exact Zeros 7.8 Graphs of Rational Functions 7.9 Key Concepts Chapter 8. Exponential and Logarithmic Functions 8.1 Exponential Functions 8.2 Logarithmic Functions 8.3 The Number e:ex and In x 8.4 Common Logarithms and Applications 8.5 Exponential and Logarithmic Equations 8.6 Key Concepts Chapter 9. Systems of Equations and Inequalities 9.1 Systems of Linear Equations 9.2 Systems of Nonlinear Systems 9.3 Partial Fractions 9.4 Systems of Inequalities 9.5 Linear Programming 9.6 Key Concepts Chapter 10. Matrices and Determinants 10.1 Properties of Matriices 10.2 Matrices and Systems of Linear Equations 10.3 Determinants of Order Two and Three 10.4 Properties of Determinants 10.5 Cramer's Rule 10.6 Inverse of a Square Matrix 10.7 Key Concepts Chapter 11. Sequences and Series 11.1 Arithmetic Sequences 11.2 Geometric Sequences 11.3 Infinite Geometric Series 11.4 Compound Interest and Annuities 11.5 Key Concepts Chapter 12. Topics in Algebra 12.1 Mathematical Induction 12.2 Permutations 12.3 Combinations 12.4 The Binomial Theorem 12.5 Probability 12.6 Key Concepts Chapter 13. The Coonniics 13.1 Parabolas 13.2 Ellipses 13.3 Hyperbolas 13.4 Key Concepts Appendix I. Intepolation, Tables and Calculators II. Tables Answers to Selected Problems IndexRees, Paul is the author of 'College Algebra' with ISBN 9780072338584 and ISBN 007233858X.