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

by HOFFMANN

• ISBN13: 9780077297886
• ISBN10: 0077297881
• Edition: 10th
• Format: Hardcover
• Copyright: 2009-01-01
• Publisher: McGraw-Hill Science/Engineering/Math

Summary

Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Editionprovides 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!

Table of Contents

Functions, Graphs, and Limits

Functions

The Graph of a Function

Linear Functions

Functional Models

Limits

One-Sided Limits and Continuity

Differentiation: Basic Concepts

The Derivative

Techniques of Differentiation

Product and Quotient Rules; Higher-Order Derivatives

The Chain Rule

Marginal Analysis and Approximations Using Increments

Implicit Differentiation and Related Rates

Additional Applications of the Derivative

Increasing and Decreasing Functions; Relative Extrema

Concavity and Points of Inflection

Curve Sketching

Optimization; Elasticity of Demand

Additional Applied Optimization

Exponential and Logarithmic Functions

Exponential Functions: Continuous Compounding

Logarithmic Functions

Applications; Exponential Models

Integration

Antidifferentiation: The Indefinite Integral

Integration by Substitution

The Definite Integral and the Fundamental Theorem of Calculus

Applying Definite Integration: Area Between Curves and Average Value

Additional Applications to Business and Economics

Additional Applications to the Life and Social Sciences

Additional Topics in Integration

Integration by Parts; Integral Tables

Improper Integrals

Numerical Integration

Calculus of Several Variables

Functions of Several Variables

Partial Derivatives

Optimizing Functions of Two Variables

The Method of Least-Squares

Constrained Optimization: The Method of Lagrange Multipliers

Double Integrals

Differential Equations

Introduction to Differential Equations

First-Order Linear Differential Equations

Additional Applications of Differential Equations

Approximate Solutions of Differential Equations

Difference Equations; The Cobweb Model

Infinite Series and Taylor Series Approximations

Infinite Series; Geometric Series

Tests for Convergence

Functions as Power Series; Taylor Series

Probability and Calculus

Introduction to Probability; Discrete Random Variables

Continuous Random Variables

Expected Value and Variance of Continuous Random Variables

Normal and Poisson Probability Distributions

Trigonometric Functions

The Trigonometric Functions

Differentiation and Integration of Trigonometric Functions

Additional Applications Involving Trigonometric Function

Algebra Review

A Brief Review of Algebra

Factoring Polynomials and Solving Systems of Equations

Evaluating Limits with L’Hopital’s Rule

The Summation Notation

Table of Contents provided by Publisher. All Rights Reserved.