Calculus for business, economics, life sciences, and social sciences
著者
書誌事項
Calculus for business, economics, life sciences, and social sciences
Pearson/Prentice Hall, c2011
12th ed.
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注記
Includes index
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 two parts: (1) A Library of Elementary Functions (Chapters 1-2) and (2) Calculus (Chapters 3-9). The book's overall approach, refined by the authors' experience with large sections of college freshmen, addresses the challenges of teaching and 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: Calculus Chapter 3: Limits and the Derivative 3-1 Introduction to Limits 3-2 Infinite Limits and Limits at Infinity 3-3 Continuity 3-4 The Derivative 3-5 Basic Differentiation Properties 3-6 Differentials 3-7 Marginal Analysis in Business and Economics Chapter 3 Review Review Exercise Chapter 4: Additional Derivative Topics 4-1 The Constant e and Continuous Compound Interest 4-2 Derivatives of Exponential and Logarithmic Functions 4-3 Derivatives of Products and Quotients 4-4 The Chain Rule 4-5 Implicit Differentiation 4-6 Related Rates 4-7 Elasticity of Demand Chapter 4 Review Review Exercise Chapter 5: Graphing and Optimization 5-1 First Derivative and Graphs 5-2 Second Derivative and Graphs 5-3 L'Hopital's Rule 5-4 Curve Sketching Techniques 5-5 Absolute Maxima and Minima 5-6 Optimization Chapter 5 Review Review Exercise Chapter 6: Integration 6-1 Antiderivatives and Indefinite Integrals 6-2 Integration by Substitution 6-3 Differential Equations
- Growth and Decay 6-4 The Definite Integral 6-5 The Fundamental Theorem of Calculus Chapter 6 Review Review Exercise Chapter 7: Additional Integration Topics 7-1 Area Between Curves 7-2 Applications in Business and Economics 7-3 Integration by Parts 7-4 Integration Using Tables Chapter 7 Review Review Exercise Chapter 8: Multivariable Calculus 8-1 Functions of Several Variables 8-2 Partial Derivatives 8-3 Maxima and Minima 8-4 Maxima and Minima Using Lagrange Multipliers 8-5 Method of Least Squares 8-6 Double Integrals Over Rectangular Regions 8-7 Double Integrals Over More General Regions Chapter 8 Review Review Exercise Chapter 9: Trigonometric Functions 9-1 Trigonometric Functions Review 9-2 Derivatives of Trigonometric Functions 9-3 Integration of Trigonometric Functions Chapter 9 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 Basic Geometric Formulas Table II Integration Formulas Answers Index Applications Index A Library of Elementary Functions
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