- Item type
- Book
- Language
- English
- Publication year
- 2013
- Edition no.
- 11th expanded edition
- ISBN
- 978-0-07-353237-0
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
Table of Contens -- Chapter 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 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 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; Elasticity of Demand
3.5 Additional Applied Optimization
Chapter 4: Exponential and Logarithmic Functions
4.1 Exponential Functions; Continuous Compounding
4.2 Logarithmic Functions
4.3 Differentiation of Exponential and Logarithmic Functions
4.4 Applications; Exponential Models
Chapter 5: Integration
5.1 Indefinite Integration with Applications
5.2 Integration by Substitution
5.3 The Definite Integral and the Fundamental Theorem of Calculus
5.4 Applying Definite Integration: Area Between Curves and Average Value
5.5 Additional Applications to Business and Economics
5.6 Additional Applications to the Life and Social Sciences
Chapter 6: Additional Topics in Integration
6.1 Integration by Parts; Integral Tables
6.2 Numerical Integration
6.3 Improper Integrals
Chapter 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 8: Trigonometric Functions
8.1 Angle Measurement; Trigonometric Functions
8.2 Derivatives of Trigonometric Functions
8.3 Integrals of Trigonometric Functions
Chapter 9: Differential Equations
9.1 Introduction to Differential Equations
9.2 First-Order Linear Differential Equations
9.3 Additional Applications of Differential Equations
9.4 Approximate Solutions of Differential Equations
9.5 Difference Equations; The Cobweb Model
Chapter 10: Probability and Calculus
10.1 Continuous Probability Distributions
10.2 Expected Value and Variance
10.3 Normal Distributions
Chapter 11: Infinite Series and Taylor Series Approximations
11.1 Infinite Series; Geometric Series
11.2 Tests for Convergence
11.3 Functions as Power Series; Taylor Series
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 LHopitals Rule
A.4 The Summation Notation.
