College Algebra (8TH)

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College Algebra (8TH)

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  • 製本 Hardcover:ハードカバー版/ページ数 800 p.
  • 言語 ENG
  • 商品コード 9780357753651
  • DDC分類 512

Full Description

Do you find yourself attempting to memorize facts and mimicking examples simply to make it through algebra? Learn to think mathematically and develop genuine problem-solving skills with COLLEGE ALGEBRA, 8th Edition by best-selling author team Stewart/Redlin/Watson. This straightforward, easy-to-use book helps you master the fundamentals of algebra with updated learning features and new tools for success. New concept exercises at the beginning of each exercise set guide you step-by-step through the main topics of a section. Lists of formulas and key concepts after each chapter reinforce what you've learned, while new review material helps you gauge your progress. In addition, numerous examples show you how to use mathematics to model real situations in fields like engineering, business, physics, chemistry and biology. Online WebAssign resources are also available to provide interactive practice and strengthen your understanding of key principles.

Contents

Preface.
To the Student.
Prologue: Principles of Problem Solving.
P. PREREQUISITES.
Chapter Overview P.1 Modeling the Real-World with Algebra. P.2 The Real Numbers. P.3 Integer Exponents and Scientific Notation. P.4 Rational Exponents and Radicals. P.5 Algebraic Expressions. P.6 Factoring. P.7 Rational Expressions. P.8 Solving Basic Equations. P.9 Modeling with Equations. Chapter P Review. Chapter P Test.
FOCUS ON MODELING: Making the Best Decisions.
1. EQUATIONS AND GRAPHS.
1.1 The Coordinate Plane. 1.2 Graphs of Equations in Two Variables; Circles. 1.3 Lines.
1.4 Solving Quadratic Equations. 1.5 Complex Numbers. 1.6 Solving Other Types of Equations. 1.7 Solving Inequalities. 1.8 Solving Absolute Value Equations and Inequalities. 1.9 Solving Equations and Inequalities Graphically. 1.10 Modeling Variations. Chapter 1 Review. Chapter 1 Test.
FOCUS ON MODELING: Fitting Lines to Data.
2. FUNCTIONS.
Chapter Overview. 2.1 Functions. 2.2 Graphs of Functions. 2.3 Getting Information from the Graph of a Function. 2.4 Average Rate of Change of a Function. 2.5 Linear Functions and Models.
2.6 Transformations of Functions. 2.7 Combining Functions. 2.8 One-to-One Functions and Their Inverses. Chapter 2 Review. Chapter 2 Test.
FOCUS ON MODELING: Modeling with Functions.
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
Chapter Overview. 3.1 Quadratic Functions and Models. 3.2 Polynomial Functions and Their Graphs. 3.3 Dividing Polynomials. 3.4 Real Zeros of Polynomials. 3.5 Complex Zeros and the Fundamental Theorem of Algebra. 3.6 Rational Functions. 3.7 Polynomial and Rational Inequalities. Chapter 3 Review. Chapter 3 Test.
FOCUS ON MODELING: Fitting Polynomial Curves to Data.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Chapter Overview. 4.1 Exponential Functions. 4.2 The Natural Exponential Function. 4.3 Logarithmic Functions. 4.4 Laws of Logarithms. 4.5 Exponential and Logarithmic Equations. 4.6 Modeling with Exponential Functions. 4.7 Logarithmic Scales. Chapter 4 Review. Chapter 4 Test.
FOCUS ON MODELING: Fitting Exponential and Power Curves to Data.
5. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Chapter Overview. 5.1 Systems of Linear Equations in Two Variables. 5.2 Systems of Linear Equations in Several Variables. 5.3 Partial Fractions. 5.4 Systems of Nonlinear Equations. 5.5 Systems of Inequalities. Chapter 5 Review. Chapter 5 Test.
FOCUS ON MODELING: Linear Programming.
6. MATRICES AND DETERMINANTS.
Chapter Overview. 6.1 Matrices and Systems of Linear Equations. 6.2 The Algebra of Matrices. 6.3 Inverses of Matrices and Matrix Equations. 6.4 Determinants and Cramer's Rule. Chapter 6 Review. Chapter 6 Test.
FOCUS ON MODELING: Computer Graphics.
7. CONIC SECTIONS.
Chapter Overview. 7.1 Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Shifted Conics. Chapter 7 Review.
Chapter 7 Test.
FOCUS ON MODELING: Conics in Architecture.
8. SEQUENCES AND SERIES.
Chapter Overview. 8.1 Sequences and Summation Notation. 8.2 Arithmetic Sequences. 8.3 Geometric Sequences. 8.4 Mathematical Induction. 8.5 The Binomial Theorem. Chapter 8 Review. Chapter 8 Test.
FOCUS ON MODELING: Modeling with Recursive Sequences.
9. COUNTING AND PROBABILITY.
Chapter Overview. 9.1 Counting. 9.2 Probability. 9.3 Binomial Probability. 9.4 Expected Value. Chapter 9 Review. Chapter 9 Test.
FOCUS ON MODELING: The Monte Carlo Method.
APPENDIX A: Calculations and Significant Figures.
APPENDIX B: Graphing with a Graphing Calculator.
APPENDIX C: Using the TI-83/84 Graphing Calculator.
Additional Topics
Mathematics of Finance (available on website)

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