Cover image for Calculus : for business, economics, life sciences, and social sciences
Title:
Calculus : for business, economics, life sciences, and social sciences
Personal Author:
Edition:
10th ed.
Publication Information:
Upper Saddle River, NJ : Pearson Prentice-Hall, 2005
ISBN:
9780131432611

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30000004720391 QA303 B38 2005 Open Access Book Book
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Summary

Summary

For a one-semester or one-quarter course covering calculus for students majoring in business, economics, social sciences, or life sciences.

This mid-level text covers calculus with an emphasis on cross-discipline principles and practices. Student-friendly and accessible, it develops a thorough, functional understanding of mathematical concepts in preparation for their application in other areas. Coverage concentrates on developing concepts and ideas followed immediately by developing computational skills 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