9780077297886

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

by
  • ISBN13:

    9780077297886

  • ISBN10:

    0077297881

  • Edition: 10th
  • Format: Hardcover
  • Copyright: 1/1/2009
  • Publisher: McGraw-Hill Science/Engineering/Math
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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.

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