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Cengage Learning
College Algebra (with Interactive Video Skillbuilder CD-ROM and CengageNOW, iLrn? Tutorial Student Version, and Personal Tutor Printed Access Card) / Edition 9

College Algebra (with Interactive Video Skillbuilder CD-ROM and CengageNOW, iLrn? Tutorial Student Version, and Personal Tutor Printed Access Card) / Edition 9

by R. David Gustafson


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Product Details

ISBN-13: 2900495012664
Publisher: Cengage Learning
Publication date: 01/03/2006
Edition description: 9TH PKG
Pages: 768
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)

About the Author

R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes, College Algebra, Gustafson/Karr/Massey's Beginning Algebra, Intermediate Algebra, Beginning and Intermediate Algebra: A Combined Approach, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.

Peter D. Frisk, Professor Emeritus of Mathematics at Rock Valley College, earned both a Bachelor of Arts and a Master of Arts in mathematics from University of Illinois. He is the coauthor of several best-selling math texts including BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, ALGEBRA FOR COLLEGE STUDENTS, and COLLEGE ALGEBRA. He has been the recipient of the Rock Valley Teacher of the Year award.

Table of Contents

Index of Applications. 0. A REVIEW OF BASIC ALGEBRA. Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Algebraic Fractions. 1. EQUATIONS AND INEQUALITIES. Equations. Applications of Linear Equations. Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Polynomial and Radical Equations. Inequalities. Absolute Value. 2. THE RECTANGULAR COORDINATE SYSTEM AND GRAPHS OF EQUATIONS. The Rectangular Coordinate System. The Slope of a Nonvertical Line. Writing Equations of Lines. Graphs of Equations. Proportion and Variation. 3. FUNCTIONS. Functions and Function Notation. Quadratic Functions. Polynomial and Other Functions. Translating and Stretching Graphs. Rational Functions. Operations on Functions. Inverse Functions. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. 5. SOLVING POLYNOMIAL EQUATIONS. The Remainder and Factor Theorems; Synthetic Division. Descartes' Rule of Signs and Bounds on Roots. Rational Roots of Polynomial Equations. Irrational Roots of Polynomial Equations. 6. LINEAR SYSTEMS. Systems of Linear Equations. Gaussian Eliminations and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Linear Inequalities. Linear Programming. 7. CONIC SECTIONS AND QUADRATIC SYSTEMS. The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second-Degree Equations. 8. NATURAL NUMBER FUNCTIONS AND PROBABILITY. The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Computation of Compound Probabilities. Odds and Mathematical Expectation. 9. THE MATHEMATICS OF FINANCE. Interest. Annuities and Future Value. Present Value of an Annuity; Amortization. Appendix I: A Proof of the Binomial Theorem. Appendix II: An Alternate Approach to Circles and Parabolas. Appendix III: Tables. Table A. Powers and Roots. Table B. Base-10 Logarithms. Table C. Base-e Logarithms. Appendix IV: Answers to Selected Exercises. Index.

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