This sixth edition of INTERMEDIATE ALGEBRA retains the same basic format and style as the fifth edition. Each section of the book can be discussed in a forty-five to fifty minute class session. Intended for schools that teach the course in a lecture environment, students are able to prepare for class by answering the Getting Ready for Class questions.
Product dimensions: 7.20 (w) x 10.40 (h) x 1.25 (d)
Table of Contents
1. BASIC PROPERTIES AND DEFINITIONS. Fundamental Definitions and Notation. The Real Numbers. Properties of Real Numbers. Arithmetic with Real Numbers. Conditional Statements. Number Sequences and Inductive Reasoning
2.LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE. Linear Equations in One Variable. Formulas. 3 Applications. Linear Inequalities in One Variable. Equations with Absolute Value. Inequalities Involving Absolute Value
3.EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Paired Data and the Rectangular Coordinate System. Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Variation
4.SYSTEMS OF LINEAR EQUATIONS. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Introduction to Determinants. Cramer's Rule. Applications
5.EXPONENTS AND POLYNOMIALS. Properties of Exponents. Polynomials, Sums, and Differences. Multiplication of Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. Special Factoring. Solving Equations by Factoring
6.RATIONAL EXPRESSIONS. Basic Properties and Reducing to Lowest Terms. Division of Polynomials. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Involving Rational Expressions. Applications
7.RATIONAL EXPONENTS AND ROOTS. Rational Exponents. More Expressions Involving Rational Exponents. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers
8.QUADRATIC EQUATIONS. Completing the Square. TheQuadratic Formula. Additional Items Involving Solutions to Equations. Equations Quadratic in Form. Graphing Parabolas. Quadratic Inequalities
9.EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Inverse of a Function. Logarithms are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base
10.SEQUENCES AND SERIES. Sequences. Series. Arithmetic Sequences. Geometric Sequences. Binomial Expansion
SECTIONS. The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and Nonlinear Systems. APPENDIX A. SYNTHETIC DIVISION. APPENDIX B. MATRIX SOLUTIONS TO LINEAR SYSTEMS. APPENDIX C. ALGEBRA WITH FUNCTIONS. ANSWERS TO ODD-NUMBERED PROBLEMS. REVIEWS. TESTS. CUMULATIVE REVIEWS. INDEX.