Mandatory Package: Calculus for Business, Economics, and the Social and Life Sciences W/ Olc and Mathzone / Edition 8

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Product Details

  • ISBN-13: 9780073016504
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 3/26/2004
  • Edition description: Older Edition
  • Edition number: 8
  • Pages: 768
  • Product dimensions: 8.20 (w) x 10.30 (h) x 1.20 (d)

Table of Contents

Final Updated: 03/25/2003 April_southwood

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 Approximations 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
1Functions 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
Tables II The Natural Logarithm (Base e)

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