Intermediate Algebra / Edition 5by R. David Gustafson
Pub. Date: 10/28/1998
Publisher: Cengage Learning
Known for its clear, no-nonsense explanations as well as for mathematical accuracy and rigor, Gustafson and Frisk has long been counted among the tried-and-true algebra texts. The Sixth Edition features an early introduction to functions. Long-time Gustafson/Frisk users will appreciate the updates the authors have made while non-users now have plenty of reasons to take a closer look.
Table of Contents1. BASIC CONCEPTS. The Real Number System Arithmetic and Properties of Real Numbers. Exponents. Scientific Notation. Solving Equations. Using Equations to Solve Problems. More Applications of Equations. Projects. Chapter Summary. Chapter 1 Test. 2. GRAPHS, EQUATIONS OF LINES AND FUNCTIONS. Graphing Linear Equations. Slope of a Nonvertical Line. Writing Equations of Lines. Introduction to Functions. Graphs of Other Functions. Projects. Chapter Summary. Chapter 2 Test. Cumulative Review Exercises. 3. SYSTEMS OF EQUATIONS. Solution by Graphing. Solution by Elimination. Solutions of Three Equations in Three Variables. Solution by Matrices. Solution by Determinants. Projects. Chapter Summary. Chapter 3 Test. 4. INEQUALITIES. Linear Inequalities. Equations and Inequalities with Absolute Values. Linear Inequalities in Two Variables. Systems of Inequalities. Linear Programming. Projects. Chapter Summary. Chapter 4 Test. Cumulative Review Exercises. 5. POLYNOMIALS AND POLYNOMIAL FUNCTIONS. Polynomials and Polynomial Functions. Adding and Subtracting Polynomials. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. The Difference of Two Squares; the Sum and Difference of Two Cubes. Factoring Trinomials. Summary of Factoring Techniques. Solving Equations by Factoring. Projects. Chapter Summary. Chapter 5 Test. 6. RATIONAL EXPRESSIONS. Rational Functions and Simplifying Rational Expressions. Proportions and Variation. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Complex Fractions. Equations Containing Rational Expressions. Dividing Polynomials. Synthetic Division. Projects. Chapter Summary. Chapter 6 Test. Cumulative ReviewExercises. 7. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Projects. Chapter Summary. Chapter 7 Test. 8. QUADRATIC FUNCTIONS, INEQUALITIES, AND ALGEBRA FUNCTIONS. Completing the Square and the Quadratic Formula. Graphs of Quadratic Functions. Complex Numbers. The Discriminant and Equations that Can Be Written in Quadratic Form. Quadratic and Other Nonlinear Inequalities. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Base-e Exponential Functions. Logarithmic Functions. Base-e Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 9 Test. 10. MORE GRAPHING AND CONIC SECTIONS. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations. Piecewise-Defined Functions and the Greatest Integer Function. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. MISCELLANEOUS TOPICS. The Binomial Theorem. The nth Term of a Binomial Expansion. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Permutations and Combinations. Projects. Chapter Summary. Chapter 11 Test. Cumulative Review Exercises. APPENDIX I. SYMMETRIES OF GRAPHS. APPENDIX II. SAMPLE FINAL EXAMINATION. APPENDIX III. TABLES. APPENDIX IV. ANSWERS TO SELECTED EXERCISES. INDEX.
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