- AUTHORS: R. David Gustafson; Jeff Hughes
- ISBN-13: 9781111990909
- Grade(s): 9 | 10 | 11 | 12
- 848 Pages Hardcover
- 11th Edition | Previous Editions: 2010, 2007, 2004
- ©2013 Published
- Prices are valid only in the respective region
Clearly written and comprehensive, the eleventh edition of Gustafson and Hughes' popular book, COLLEGE ALGEBRA, provides in-depth and precise coverage, incorporated into a framework of tested teaching strategy. The authors combine carefully selected pedagogical features and patient explanations to give students a book that preserves the integrity of mathematics, yet does not discourage them with material that is confusing or too rigorous. Long respected for its ability to help students quickly master difficult problems, this book also helps them develop the skills they'll need in future courses and in everyday life. Retaining the mathematical precision instructors have come to expect, the authors have focused on making this new edition more modern to better illustrate to students the importance of math in their world.
0. A REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Rational Expressions. Chapter Review. Chapter Test.
1. EQUATIONS AND INEQUALITIES.
Linear Equations and Rational Equations. Applications of Linear Equations. Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Polynomial and Radical Equations. Inequalities. Absolute Value. Chapter Review. Chapter Test. Cumulative Review Exercises.
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. Chapter Review. Chapter Test.
Functions and Function Notation. Quadratic Functions. Polynomial and Other Functions. Transformation of Functions. Rational Functions. Operations on Functions. Inverse Functions.
Chapter Review. Chapter Test. Cumulative Review Exercises.
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. Chapter Review. Chapter Test.
5. SOLVING POLYNOMIAL EQUATIONS.
The Remainder and Factor Theorems; Synthetic Division. Descartes' Rule of Signs and Bounds on Roots. Roots of Polynomial Equations. Approximating Irrational Roots of Polynomial Equations. Chapter Review. Chapter Test. Cumulative Review Exercises.
6. LINEAR SYSTEMS.
Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Linear Inequalities. Linear Programming. Chapter Review. Chapter Test.
7. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Problems Using Nonlinear Systems of Equations. Chapter Review. Chapter Test. Cumulative Review Exercises.
8. NATURAL NUMBER FUNCTIONS AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability. Chapter Review. Chapter Test.
9. MATHEMATICS OF FINANCE (online).
Interest. Annuities and Future Value. Present Value of an Annuity; Amortization. Linear Programming. Chapter Review. Chapter Test. Cumulative Review Exercises.
Appendix I: A PROOF OF THE BINOMIAL THEOREM.
Appendix II: TABLES.
Powers and Roots. Base-10 Logarithms. Base-e Logarithms.
Appendix III: ANSWERS TO SELECTED EXERCISES (in Student Edition only).