College mathematics for business, economics, life sciences, and social sciences
著者
書誌事項
College mathematics for business, economics, life sciences, and social sciences
Peason/Prentice Hall, c2011
12th ed
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注記
Previous ed.: c2008
Includes indexes
内容説明・目次
内容説明
This accessible text is designed to help readers help themselves to excel. The content is organized into three parts: (1) A Library of Elementary Functions (Chapters 1-2), (2) Finite Mathematics (Chapters 3-9), and (3) Calculus (Chapters 10-15). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of learning when readers' prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today's students and instructors.
目次
- Part One: A Library of Elementary Functions Chapter 1: Linear Equations and Graphs 1-1 Linear Equations and Inequalities 1-2 Graphs and Lines 1-3 Linear Regression Chapter 1 Review Review Exercise Chapter 2: Functions and Graphs 2-1 Functions 2-2 Elementary Functions: Graphs and Transformations 2-3 Quadratic Functions 2-4 Polynomial and Rational Functions 2-5 Exponential Functions 2-6 Logarithmic Functions Chapter 2 Review Review Exercise Part Two: Finite Mathematics Chapter 3: Mathematics of Finance 3-1 Simple Interest 3-2 Compound and Continuous Compound Interest 3-3 Future Value of an Annuity
- Sinking Funds 3-4 Present Value of an Annuity
- Amortization Chapter 3 Review Review Exercise Chapter 4: Systems of Linear Equations
- Matrices 4-1 Review: Systems of Linear Equations in Two Variables 4-2 Systems of Linear Equations and Augmented Matrices 4-3 Gauss-Jordan Elimination 4-4 Matrices: Basic Operations 4-5 Inverse of a Square Matrix 4-6 Matrix Equations and Systems of Linear Equations 4-7 Leontief Input-Output Analysis Chapter 4 Review Review Exercise Chapter 5: Linear Inequalities and Linear Programming 5-1 Inequalities in Two Variables 5-2 Systems of Linear Inequalities in Two Variables 5-3 Linear Programming in Two Dimensions: A Geometric Approach Chapter 5 Review Review Exercise Chapter 6: Linear Programming: Simplex Method 6-1 A Geometric Introduction to the Simplex Method 6-2 The Simplex Method: Maximization with Problem Constraints of the Form = 6-3 The Dual
- Minimization with Problem Constraints of the form = 6-4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Review Review Exercise Chapter 7: Logic, Sets, and Counting 7-1 Logic 7-2 Sets 7-3 Basic Counting Principles 7-4 Permutations and Combinations Chapter 7 Review Review Exercise Chapter 8: Probability 8-1 Sample Spaces, Events, and Probability 8-2 Union, Intersection, and Complement of Events
- Odds 8-3 Conditional Probability, Intersection, and Independence 8-4 Bayes' Formula 8-5 Random Variables, Probability Distribution, and Expected Value Chapter 8 Review Review Exercise Chapter 9: Markov Chains 9-1 Properties of Markov Chains 9-2 Regular Markov Chains 9-3 Absorbing Markov Chains Chapter 9 Review Review Exercise Part Three: Calculus Chapter 10: Limits and the Derivative 10-1 Introduction to Limits 10-2 Infinite Limits and Limits at Infinity 10-3 Continuity 10-4 The Derivative 10-5 Basic Differentiation Properties 10-6 Differentials 10-7 Marginal Analysis in Business and Economics Chapter 10 Review Review Exercise Chapter 11: Additional Derivative Topics 11-1 The Constant e and Continuous Compound Interest 11-2 Derivatives of Logarithmic and Exponential Functions 11-3 Derivatives of Products and Quotients 11-4 The Chain Rule 11-4 Implicit Differentiation 11-5 Related Rates 11-7 Elasticity of Demand Chapter 11 Review Review Exercise Chapter 12: Graphing and Optimization 12-1 First Derivative and Graphs 12-2 Second Derivative and Graphs 12-3 L'Hopitals's Rule 12-4 Curve Sketching Techniques 12-5 Absolute Maxima and Minima 12-6 Optimization Chapter 12 Review Review Exercise Chapter 13: Integration 13-1 Antiderivatives and Indefinite Integrals 13-2 Integration by Substitution 13-3 Differential Equations
- Growth and Decay 13-4 The Definite Integral 13-5 The Fundamental Theorem of Calculus Chapter 13 Review Review Exercise Chapter 14: Additional Integration Topics 14-1 Area Between Curves 14-2 Applications in Business and Economics 14-3 Integration by Parts 14-4 Integration Using Tables Chapter 14 Review Review Exercise Chapter 15: Multivariable Calculus 15-1 Functions of Several Variables 15-2 Partial Derivatives 15-3 Maxima and Minima 15-4 Maxima and Minima Using Lagrange Multipliers 15-5 Method of Least Squares 15-6 Double Integrals Over Rectangular Regions 15-7 Double Integrals Over More General Regions Chapter 15 Review Review Exercise Appendixes Appendix A: Basic Algebra Review Self-Test on Basic Algebra A-1 Algebra and Real Numbers A-2 Operations on Polynomials A-3 Factoring Polynomials A-4 Operations on Rational Expressions A-5 Integer Exponents and Scientific Notation A-6 Rational Exponents and Radicals A-7 Quadratic Equations Appendix B: Special Topics B-1 Sequences, Series, and Summation Notation B-2 Arithmetic and Geometric Sequences B-3 Binomial Theorem Appendix C: Tables Table I Area Under the Standard Normal Curve Table II Basic Geometric Formulas Answers Index Applications Index A Library of Elementary Functions
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