College algebra : real mathematics, real people
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書誌事項
College algebra : real mathematics, real people
Cengage Learning, c2016
7th ed., Student ed
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注記
"c2016, 2012, 2008 Cengage Learning" -- T.p. verso
Includes indexes
内容説明・目次
内容説明
Ideal for courses that require the use of a graphing calculator, COLLEGE ALGEBRA: REAL MATHEMATICS, REAL PEOPLE features quality exercises, interesting applications, and innovative resources to help you succeed. Retaining the book's emphasis on student support, selected examples include notations directing students to previous sections where they can review concepts and skills needed to master the material at hand. The book also achieves accessibility through careful writing and design including examples with detailed solutions that begin and end on the same page, which maximizes readability. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles. Reflecting its subtitle, this significant revision focuses more than ever on showing readers the relevance of mathematics in their lives and future careers.
目次
CHAPTER P PREREQUISITES.
P.1 Real Numbers. P.2 Exponents and Radicals. P.3 Polynomials and Factoring. P.4 Rational Expressions. P.5 The Cartesian Plane. P.6 Representing Data Graphically. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
1. FUNCTIONS AND THEIR GRAPHS.
Introduction to Library of Functions. 1.1 Graphs of Equations. 1.2 Lines in the Plane.
1.3 Functions. 1.4 Graphs of Functions. 1.5 Shifting, Reflecting, and Stretching Graphs. 1.6 Combinations of Functions. 1.7 Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
2. SOLVING EQUATIONS AND INEQUALITIES.
2.1 Linear Equations and Problem Solving. 2.2 Solving Equations Graphically. 2.3 Complex Numbers. 2.4 Solving Quadratic Equations Algebraically. 2.5 Solving Other Types of Equations Algebraically. 2.6 Solving Inequalities Algebraically and Graphically. 2.7 Linear Models and Scatter Plots. Chapter Summary. Review Exercises.
Chapter Test. Cumulative Test: Chapters P-2. Proofs in Mathematics.
Progressive Summary (Ch P-2).
3. POLYNOMIAL AND RATIONAL FUNCTIONS.
3.1 Quadratic Functions. 3.2 Polynomial Functions of Higher Degree. 3.3 Real Zeros of Polynomial Functions. 3.4 The Fundamental Theorem of Algebra. 3.5 Rational Functions and Asymptotes. 3.6 Graphs of Rational Functions. 3.7 Quadratic Models. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics.
4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
4.1 Exponential Functions and Their Graphs. 4.2 Logarithmic Functions and Their Graphs. 4.3 Properties of Logarithms. 4.4 Solving Exponential and Logarithmic Equations. 4.5 Exponential and Logarithmic Models. 4.6 Nonlinear Models. Chapter Summary. Review Exercises. Chapter Test. Library of Parent Functions Review. Proofs in Mathematics. Progressive Summary (Ch P-4).
5. LINEAR SYSTEMS AND MATRICES.
5.1 Solving Systems of Equations. 5.2 Systems of Linear Equations in Two Variables.
5.3 Multivariable Linear Systems. 5.4 Matrices and Systems of Equations. 5.5 Operations with Matrices. 5.6 The Inverse of a Square Matrix. 5.7 The Determinant of a Square Matrix. 5.8 Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 3-5. Proofs in Mathematics.
6. SEQUENCES, SERIES, AND PROBABILITY.
6.1 Sequences and Series. 6.2 Arithmetic Sequences and Partial Sums. 6.3 Geometric Sequences and Series. 6.4 The Binomial Theorem. 6.5 Counting Principles. 6.6 Probability. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. 7. CONICS AND PARAMETRIC EQUATIONS.
7.1 Circles and Parabolas. 7.2 Ellipses. 7.3 Hyperbolas. 7.4 Parametric Equations.
Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 6-7.
Proofs in Mathematics. Progressive Summary (Ch P-7).
Appendix A: Technology Support Guide.
Appendix B: Concepts in Statistics (WEB only).
B.1 Measures of Central Tendency and Dispersion. B.2 Least Squares Regression.
Appendix C: Variation (WEB only).
Appendix D: Solving Linear Equations and Inequalities (WEB only).
Appendix E: Systems of Inequalities (WEB only).
E.1 Solving Systems of Inequalities. E.2 Linear Programming.
Appendix F: Mathematical Induction (WEB only).
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