Intermediate Algebra / Edition 5 available in Paperback
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, 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.
Rosemary Karr graduated from Eastern Kentucky University (EKU) in 1976 with a B.S. in Mathematics, attained her M.A. at EKU in Mathematics Education in 1981, and earned her Ph.D. from the University of North Texas in 1996. After two years teaching high school mathematics, she joined the faculty at Eastern Kentucky University, where she earned tenure as Assistant Professor of Mathematics. A professor of mathematics at Collin College in Plano Texas since 1990, Prof. Karr has written more than ten solutions manuals, presented numerous papers, and been an active member in several educational associations (including President of the National Association for Developmental Education). She has been honored several times by Collin College, and has received such national recognitions as U.S. Professor of the Year (2007), Minnie Stevens Piper Professor (2008), and CLADEA fellow (2012).
Marilyn Massey teaches mathematics at Collin College in McKinney, Texas. She has been President of the Texas Association for Developmental Education, featured on the list of Who's Who among America's Teachers and received an Excellence in Teaching Award from the National Conference for College Teaching and Learning. Professor Massey has presented at numerous state and national conferences; her article "Service-Learning Projects in Data Interpretation" was one of two included from community college instructors for the Mathematical Association of America's publication, Mathematics in Service to the Community. She earned her Bachelor's degree in Secondary Education from the University of North Texas and Master's Degree in the Art of Teaching Mathematics from the University of Texas at Dallas.
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.