9780077292737

Calculus for Business, Economics, and the Social and Life Sciences, Brief

by ;
  • ISBN13:

    9780077292737

  • ISBN10:

    0077292731

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

Calculus for Business, Economics, and the Social and Life Sciences, Brief Editionintroduces calculus in real-world contexts and provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, the life sciences, and the social sciences. Students achieve success using this text as a result of the authors' applied and real-world orientation to concepts, problem-solving approach, straightforward 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
Introduction to Differential Equations
Improper Integrals; Continuous Probability
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
Algebra Review
A Brief Review of Algebra
Factoring Polynomials and Solving Systems of Equations
Evaluating Limits with LG++HopitalG++s Rule
The Summation Notation
Table of Contents provided by Publisher. All Rights Reserved.

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