# Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition / Edition 10

ISBN-10: 0077297881

ISBN-13: 9780077297886

Pub. Date: 01/01/2009

Publisher: McGraw-Hill Higher Education

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to

## Overview

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!

## Product Details

ISBN-13:
9780077297886
Publisher:
McGraw-Hill Higher Education
Publication date:
01/01/2009
Edition description:
Older Edition
Pages:
1056
Product dimensions:
8.30(w) x 10.10(h) x 1.60(d)

## Related Subjects

Preface
Calculator Introduction
1 Functions, Graphs, and Limits
1.1 Functions
1.2 The Graph of a Function
1.3 Linear Functions
1.4 Functional Models
1.5 Limits
1.6 One-Sided Limits and Continuity
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 1
Review Problems
Explore! Update
2 Differentiation: Basic Concepts
2.1 The Derivative
2.2 Techniques of Differentiation
2.3 Product and Quotient Rules; Higher Order Derivatives
2.4 The Chain Rule
2.5 Marginal Analysis and Approximations Using Increments
2.6 Implicit Differentiation and Related Rates
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 2
Review Problems
Explore! Update
3 Additional Applications of the Derivative
3.1 Increasing and Decreasing Functions; Relative Extrema
3.2 Concavity and Points of Inflection
3.3 Curve Sketching
3.4 Optimization
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 3
Review Problems
Explore! Update
4 Exponential and Logarithmic Functions
4.1 Exponential Functions
4.2 Logarithmic Functions
4.3 Differentiation of Logarithmic and Exponential Functions
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 4
Review Problems
Explore! Update
5 Integration
5.1 Antidifferentiation: The Indefinite Integral
5.2 Integration by Substitution
5.3 The Definite Integral and the Fundamental Theorem of Calculus
5.4 ApplyingDefinite Integration: Area Between Curves and Average Value
5.6 Additional Applications to the Life and Social Sciences
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 5
Review Problems
Explore! Update
6.1 Integration by Parts; Integral Tables
6.2 Improper Integrals
6.3 Numerical Integration
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 6
Review Problems
Explore! Update
7 Calculus of Several Variables
7.1 Functions of Several Variables
7.2 Partial Derivatives
7.3 Optimizing Functions of Two Variables
7.4 The Method of Least-Squares
7.5 Constrained Optimization: The Method of Lagrange Multipliers
7.6 Double Integrals
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 7
Review Problems
Explore! Update
8 Differential Equations
8.1 Introduction to Differential Equations
8.2 First-Order Linear Differential Equations
8.3 Additional Applications of Differential Equations
8.4 Approximate Solutions of Differential Equations
8.5 Difference Equations
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 8
Review Problems
Explore! Update
9 Infinite Series and Taylor Series Approximations
9.1 Infinite Series; Geometric Series
9.2 Tests for Convergence
9.3 Functions as Power Series; Taylor Series
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 9
Review Problems
Explore! Update
10 Probability and Calculus
10.1 Discrete Random Variables
10.2 Continuous Random Variables
10.3 Expected Value and Variance of Continuous Random Variables
10.4 Normal and Poisson Probability Distributions
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 10
Review Problems
Explore! Update
11 Trigonometric Functions
11.1 The Trigonometric Functions
11.2 Differentiation and Integration of Trigonometric Functions
11.3 Additional Applications Involving Trigonometric Functions
Chapter Summary
Important Terms, Symbols, and Formulas
Checkup for Chapter 11
Review Problems
Explore! Update
Appendix A: Algebra Review
A.1 A Brief Review of Algebra
A.2 Factoring Polynomials and Solving Systems of Equations
A.3 Evaluating Limits with L'Hôpital's Rule
Appendix Summary
Important Terms, Symbols, and Formulas
Review Problems
Tables
I Powers of e
II The Natural Logarithm (Base e)
III Trigonometric Functions
Text Solutions
Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems
Index

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