Title:
Calculus : for business, economics, life sciences, and social sciences
Personal Author:
Edition:
7th ed.
Publication Information:
Upper Saddle River, N.J. : Prentice Hall, 1996
ISBN:
9780133720129
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003711284 | QA303 B38 1996 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
This text covers calculus with an emphasis on cross-discipline principles and practices. Designed to be student friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on concepts and ideas, followed immediately by developing computational skills ideas and problem-solving.
Table of Contents
| (Each chapter concludes with Important Terms, Symbols, and Concepts; Review Exercise; and Group Activities.) |
| Part One A Library of Elementary Functions |
| Chapter 1 A Beginning Library of Elementary Functions |
| 1-1 Functions |
| 1-2 Elementary Functions: Graphs and Transformations |
| 1-3 Linear Functions and Straight Lines |
| 1-4 Quadratic Functions |
| Group Activity 1 Introduction to Regression Analysis |
| Group Activity 2 Mathematical Modeling in Business |
| Chapter 2 Additional Elementary Functions |
| 2-1 Polynomial and Rational Functions |
| 2-2 Exponential Functions |
| 2-3 Logarithmic Functions |
| Group Activity 1 Comparing the Growth of Exponential and Polynomial Functions, and Logarithmic and Root Functions |
| Group Activity 2 Comparing Regression Models |
| Part Two Calculus |
| Chapter 3 The Derivative |
| 3-1 Introduction to Limits |
| 3-2 Limits and Continuity |
| 3-3 The Derivative |
| 3-4 Derivative of Constants, Power Forms, and Sums |
| 3-5 Derivatives of Products and Quotients |
| 3-6 Chain Rule: Power Form |
| 3-7 Marginal Analysis in Business and Economics |
| Group Activity 1 Minimal Average Cost |
| Group Activity 2 Numerical Differentiation on a Graphing Utility |
| Chapter 4 Graphing and Optimization |
| 4-1 First Derivative and Graphs |
| 4-2 Second Derivative and Graphs |
| 4-3 Curve Sketching Techniques; Unified and Extended |
| 4-4 Optimization; Absolute Maxima and Minima |
| Group Activity 1 Maximizing Profit |
| Group Activity 2 Minimizing Construction Costs |
| Chapter 5 Additional Derivative Topics |
| 5-1 The Constant e and Continuous Compound Interest |
| 5-2 Derivatives of Logarithmic and Exponential Functions |
| 5-3 Chain Rule: General Form |
| 5-4 Implicit Differentiation |
| 5-5 Related Rates |
| Group Activity 1 Elasticity of Demand |
| Group Activity 2 Point of Diminishing Returns |
| 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 |
| Group Activity 1 Simpson's Rule |
| Group Activity 2 Bell-Shaped Curves |
| 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 |
| Group Activity 1 Analysis of Income Concentration from Raw Data |
| Group Activity 2 Grain Exchange |
| 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 |
| Group Activity 1 City Planning |
| Group Activity 2 Numerical Integration of Multivariable Functions |
| Chapter 9 Trigonometric Functions |
| 9-1 Trigonometric Functions Review |
| 9-2 Derivatives of Trigonometric Functions |
| 9-3 Integrations of Trigonometric Functions |
| Group Activity 1 Seasonal Business Cycles |
| Group Activity 2 Heating Degree Days |
| Appendix A Basic Algebra Review |
| Appendix B Special Topics |
| Appendix C Tables |
