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Full Description
If you've ever struggled to understand mathematics or wondered how you would ever apply what you've learned in your math courses, Gustafson/Hughes' popular COLLEGE ALGEBRA, 13th Edition is for you. This reader-friendly, clear edition offers precise coverage supported by numerous, easy-to-follow examples and many new or updated learning features. All content and learning support throughout this edition is designed to guide you and provide immediate help just when you need it. Revisions clarify the material with new exercises like Fix It that deepen your problem-solving skills and other exercises that strengthen your understanding of procedures. Review exercises and special modules help address any gaps in your knowledge. In addition, Tips, Cautions and color-coded boxes identify key vocabulary, concepts and problem-solving strategies. WebAssign tools for interactive review and reinforcement are also available to keep you progressing.
Contents
Chapter R. A REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials and Additional Properties of Radicals. Factoring. Rational Expressions. Chapter Review. Chapter Test. Group Activity: Anesthesiology.
1. EQUATIONS AND INEQUALITIES.
Linear Equations and Rational Equations. Applications of Linear and Rational Equations. Complex Numbers. Quadratic Equations. Applications of Quadratic Equations. Radical Equations and Equations Quadratic in Form. Linear, Compound, Quadratic, and Rational Inequalities. Absolute Value Equations and Inequalities. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Health and Body Mass Index.
2. FUNCTIONS AND GRAPHS.
Functions and Functional Notation. Rectangular Coordinate System and Linear Functions. Slope and Its Applications. Writing Equations of Lines. Graphs of Equations and Circles. Proportion and Variation. Chapter Review. Chapter Test. Group Activity: Average Velocity.
3. FUNCTIONS.
Graphs of Functions. Transformations of the Graphs of Functions. More on Functions; Piecewise-Defined Functions. Combinations of Functions and Function Composition. Inverse functions. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Cryptography and Cybersecurity.
4. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions. Synthetic Division; Remainder and Factor Theorems. Fundamental Theorem of Algebra and Descartes' Rule Signs. Zeros of Polynomial Functions. Rational Functions. Chapter Review. Chapter Test. Group Activity: Polynomial Function Trending.
5. 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. Cumulative Review. Group Activity: Group Activity - Installment Loans.
6. SYSTEMS OF LINEAR EQUATIONS, MATRICES, AND INEQUALITIES.
Systems of Linear Equations. Using Matrices to Solve Systems of Linear Equations. Matrix Operations. Multiplicative Inverses of Matrices and Matrix Equations. Determinants and Cramer's Rule. Partial Fractions. Inequalities and Systems of Inequalities in Two Variables. Linear Programming. Chapter Review. Chapter Test. Group Activity: Vacation Budget.
7. CONIC SECTIONS AND SYSTEMS OF NONLINEAR EQUATIONS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Review. Chapter Test. Cumulative Review. Group Activity: Suspension Bridges.
8. SEQUENCES, SERIES, INDUCTION AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mathematical Induction. Fundamental Counting Principle, Permutations, and Combinations. Introduction to Probability. Chapter Review. Chapter Test. Group Activity: Lottery Mathematics.
APPENDIX I A PROOF OF THE BINOMIAL THEOREM.
