Title:
Calculus : for business, economics, and the social and life sciences
Personal Author:
Edition:
8th ed.
Publication Information:
Boston : McGraw Hill Higher Education, 2004
ISBN:
9780072424324
General Note:
Accompanied by study guides : QA303 H663 2004
Subject Term:
Available:*
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Summary
Summary
Teaches the techniques of differential and integral calculus that students are likely to encounter in undergraduate courses in their majors and in subsequent professional activities. This work provides an understanding of the basic concepts of calculus. It assumes that students have completed high school algebra.
Table of Contents
| 1 Functions, Graphs, and Limits |
| 1 Functions |
| 2 The Graph of a Function |
| 3 Linear Functions |
| 4 Functional Models |
| 5 Limits |
| 6 One-Sided Limits and Continuity |
| 2 Differentiation: Basic Concepts |
| 1 The Derivative |
| 2 Techniques of Differentiation |
| 3 Product and Quotient Rules; Higher Order Derivatives |
| 4 The Chain Rule |
| 5 Marginal Analysis and Approximaitons Using Increments |
| 6 Implicit Differentiation and Related Rates |
| 3 Additional Applications of the Derivative |
| 1 Increasing and Decreasing Functions; Relative Extrema |
| 2 Concavity and Points of Inflection |
| 3 Curve Sketching |
| 4 Optimization |
| 5 Additional Applied Optimization |
| 4 Exponential and Logarithmic Functions |
| 1 Exponential Functions |
| 2 Logarithmic Functions |
| 3 Differentiation of Logarithmic and Exponential Functions |
| 4 Additional Exponential Models |
| 5 Integration |
| 1 Antidifferentiation: The Indefinite Integral |
| 2 Integration by Substitution |
| 3 The Definite Integral and the Fundamental Theorem of Calculus |
| 4 Applying Definite Integration: Area Between Curves and Average Value |
| 5 Additional Applications to Business and Economics |
| 6 Additional Applications to the Life and Social Sciences |
| 6 Additional Topics in Integration |
| 1 Integration by Parts; Integral Tables |
| 2 Introduction to Differential Equations |
| 3 Improper Integrals; Continuous Probability |
| 4 Numerical Integration |
| 7 Calculus of Several Variables |
| 1 Functions of Several Variables |
| 2 Partial Derivatives |
| 3 Optimizing Functions of Two Variables |
| 4 The Method of Least Squares |
| 5 Constrained Optimization: The Method of Lagrange Multipliers |
| 6 Double Integrals over Rectangular Regions |
| Appendix A Algebra Review |
| 1 A Brief Review of Algebra |
| 2 Factoring Polynomials and Solving Systems of Equations |
| Tables I Powers of e |
| II The Natural Logarithm (Base e) |
