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More About This Textbook
Overview
Tried and true, Gustafson and Frisk's ALGEBRA FOR COLLEGE STUDENTS teaches solid mathematical skills while supporting the student with careful pedagogy. Each book in this series maintains the authors' proven style through clear, nononsense explanations, as well as the mathematical accuracy and rigor that only Gustafson and Frisk can deliver. The text's clearly useful applications emphasize problem solving to effectively develop the skills students need for future mathematics courses, such as college algebra, and for real life. The Seventh Edition of ALGEBRA FOR COLLEGE STUDENTS also features a robust suite of online course management, testing, and tutorial resources for instructors and students. This includes BCA/iLrn Testing and Tutorial, vMentor live online tutoring, the Interactive Video Skillbuilder CDROM with MathCue, a Book Companion Web Site featuring online graphing calculator resources, and The Learning Equation (TLE), powered by BCA/iLrn. TLE provides a complete courseware package, featuring a diagnostic tool that gives instructors the capability to create individualized study plans. With TLE, a cohesive, focused study plan can be put together to help each student succeed in math.
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Meet 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 bestselling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND 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 Vicepresident 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 bestselling 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
1. A REVIEW OF BASIC ALGEBRA. 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. Solution 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. Projects. Chapter Summary. Chapter 6 Test. Cumulative Review Exercises. 7. RADICALS AND RATIONAL EXPONENTS. Radical Expressions. Applications of Radicals. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Radical Equations. Complex Numbers. Projects. Chapter Summary. Chapter 7 Test. 8. QUADRATIC FUNCTIONS AND INEQUALITIES. Solving quadratic equations by completing the square. Solving quadratic equations by the quadratic formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Graphs of quadratic functions. Quadratic and Other Nonlinear Inequalities. Projects. Chapter Summary. Chapter 8 Test. Cumulative Review Exercises. 9. MORE FUNCTIONS AND OPERATIONS ON FUNCTIONS. Symmetry and Stretchings of Graphs. PiecewiseDefined Functions and the Greatest Integer Function. More Rational Functions. Partial Fractions. Algebra and Composition of Functions. Inverses of Functions. Projects. Chapter Summary. Chapter 9 Test. 10. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Basee Exponential Functions. Logarithmic Functions. Basee Logarithms. Properties of Logarithms. Exponential and Logarithmic Equations. Projects. Chapter Summary. Chapter 10 Test. Cumulative Review Exercises. 11. 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. Projects. Chapter Summary. Chapter 11 Test. 12. CONIC SECTIONS AND QUADRATIC SYSTEMS. The Circle. The Parabola. The Ellipse. The Hyperbola. Solving Simultaneous Second Degree Equations. Projects. Chapter Summary. Chapter 12 Test. Cumulative Review Exercises. 13. NATURAL NUMBER FUNCTIONS AND PROBABILITY. The Binomial Theorem. Sequences, Series and Summation Notation. Arithmetic Sequences. Geometric Sequences. Infinite Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Computation of Compound Probabilities. Odds and Mathematical Expectation. Projects. Chapter Summary. Chapter 13 Test. Cumulative Review Exercises. APPENDICES. Matrix Algebra. Tables. Answers to Selected Exercises.