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

Raymond A. Barnett ... [et al.]

Pearson, c2019

14th ed., Student ed

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注記

Includes indexes

内容説明・目次

内容説明

College Mathematics for Business, Economics, Life Sciences, and Social Sciences offers you more built-in guidance than any other applied calculus text available. Its coverage of the construction of mathematical models helps you develop critical tools for solving application problems. Technology coverage is optional, but discussions on using graphing calculators and spreadsheets are included where appropriate. The 14th Edition features a brand-new, full-color redesign and updated layout to help you navigate more easily as you put in the work to learn the math. Throughout, data is updated in examples and exercises. New features include Reminder margin notes; all graphing calculator screens are updated to the TI-84 Plus CD; and much more. This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed.

目次

  • I. A Library of Elementary Functions 1. Linear Equations and Graphs 1.1 Linear Equations and Inequalities 1.2 Graphs and Lines 1.3 Linear Regression Chapter 1 Summary and Review Review Exercises 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 Summary and Review Review Exercises II. Finite Mathematics 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 Summary and Review Review Exercises< 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 Summary and Review Review Exercises 5. Linear Inequalities and Linear Programming 5.1 Linear 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 Summary and Review Review Exercises 6. Linear Programming: The Simplex Method 6.1 The Table Method: An Introduction to the Simplex Method 6.2 The Simplex Method: Maximization with Problem Constraints of the Form 6.3 The Dual Problem: Minimization with Problem Constraints of the Form 6.4 Maximization and Minimization with Mixed Problem Constraints Chapter 6 Summary and Review Review Exercises 7. Logic, Sets, and Counting 7.1 Logic 7.2 Sets 7.3 Basic Counting Principles 7.4 Permutations and Combinations Chapter 7 Summary and Review Review Exercises 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 Variable, Probability Distribution, and Expected Value Chapter 8 Summary and Review Review Exercises III. Calculus 9. Limits and the Derivative 9.1 Introduction to Limits 9.2 Infinite Limits and Limits at Infinity 9.3 Continuity 9.4 The Derivative 9.5 Basic Differentiation Properties 9.6 Differentials 9.7 Marginal Analysis in Business and Economics Chapter 9 Summary and Review Review Exercises 10. Additional Derivative Topics 10.1 The Constant e and Continuous Compound Interest 10.2 Derivatives of Exponential and Logarithmic Functions 10.3 Derivatives of Products and Quotients 10.4 The Chain Rule 10.5 Implicit Differentiation 10.6 Related Rates 10.7 Elasticity of Demand Chapter 10 Summary and Review Review Exercises 11. Graphing and Optimization 11.1 First Derivative and Graphs 11.2 Second Derivative and Graphs 11.3 L'Hopital's Rule 11.4 Curve-Sketching Techniques 11.5 Absolute Maxima and Minima 11.6 Optimization Chapter 11 Summary and Review Review Exercises 12. Integration 12.1 Antiderivatives and Indefinite Integrals 12.2 Integration by Substitution 12.3 Differential Equations
  • Growth and Decay 12.4 The Definite Integral 12.5 The Fundamental Theorem of Calculus Chapter 12 Summary and Review Review Exercises 13. Additional Integration Topics 13.1 Area Between Curves 13.2 Applications in Business and Economics 13.3 Integration by Parts 13.4 Other Integration Methods Chapter 13 Summary and Review Review Exercises 14. Multivariable Calculus 14.1 Functions of Several Variables 14.2 Partial Derivatives 14.3 Maxima and Minima 14.4 Maxima and Minima Using Lagrange Multipliers 14.5 Method of Least Squares 14.6 Double Integrals over Rectangular Regions 14.7 Double Integrals over More General Regions Chapter 14 Summary and Review Review Exercises 15. Markov Chains (online at goo.gl/8SZkyn) 15.1 Properties of Markov Chains 15.2 Regular Markov Chains 15.3 Absorbing Markov Chains Chapter 15 Summary and Review Review Exercises Appendix A: Basic Algebra Review A.1 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 (online at goo.gl/mjbXrG) B.1 Sequences, Series, and Summation Notation B.2 Arithmetic and Geometric Sequences B.3 Binomial Theorem B.4 Interpolating Polynomials and Divided Differences Appendix C: Tables Table I Integration Formulas Table II Area under the Standard Normal Curve Answers Index Index of Applications

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