Business Calculus
Edition: 2
Copyright: 2016
Edition: 2
Copyright: 2016
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Revised 2nd edition now available!
The most common question in a college-level mathematics course is, "Why should we learn this?" Business Calculus was written to help the industry- or MBA-bound students answer this question.
Written by long-time university educators, this introductory-level business calculus textbook stresses both procedural fluency as well as conceptual understanding. The new edition combines rigorous mathematics, illustrative examples, helpful mnemonics, innovative solution methods, highlights of common mistakes, and a revised graphical format that makes reading the test enjoyable, and searching the text simple. Let's get down to business!
Preface
Preface (1st Edition)
1 Functions and Mathematical Model
1.1 Functions and Graphs
1.2 Slopes and Linear Functions
1.3 Application of Functions to Economics
1.4 Nonlinear Functions and Algebraic Equations
1.5 Exponential Functions and Financial Models
1.6 Logarithmic Functions and Exponential Equations
Chapter 1 Summary
Chapter 1 Review Exercises
Chapter 1 Test
Chapter 1 Projects
2 Dierentiation
2.1 Limits: Approached Numerically and Graphically
2.2 Limits and Continuity
2.3 Average Rates of Change
2.4 Dierentiation Using Limits of Dierence Quotients
2.5 Basic Derivative Formulas and Properties
2.6 Dierentiation Techniques: Product and Quotient Rules
2.7 Extended Power and Natural Exponential Rules
2.8 Chain Rule and Derivatives of Log Functions
Chapter 2 Summary
Chapter 2 Review Exercises
Chapter 2 Test
Chapter 2 Projects
3 Applications of Dierentiation
3.1 Dierentials and Linear Approximation
3.2 Marginal Analysis
3.3 How Derivatives Aect the Shape of a Graph
3.4 Derivative Tests and Relative Extrema
3.5 Graph Sketching: Using the Derivatives
3.6 Graph Sketching: Asymptotes and Rational Functions
3.7 Absolute Maximum and Minimum
3.8 Optimization Problems
3.9 Elasticity of Demand
Chapter 3 Summary
Chapter 3 Review Exercises
Chapter 3 Test
Chapter 3 Project
4 Integration
4.1 The Area under a Graph
4.2 Areas and Antiderivatives
4.3 The Fundamental Theorem of Calculus
4.4 Areas and Denite Integrals
4.5 Integration by Substitution or Algebraic Manipulation
4.6 Integration by Tables
Chapter 4 Summary
Chapter 4 Review Exercises
Chapter 4 Test
Chapter 4 Project
5 Applications of Integration
5.1 Consumers' and Producers' Surpluses
5.2 Denite Integrals in Finance
5.3 Improper Integrals
5.4 Probability Distributions and Density Functions (I)
5.5 Probability Distributions and Density Functions (II)
5.6 Dierential Equations
Chapter 5 Summary
Chapter 5 Review Exercises
Chapter 5 Test
Chapter 5 Projects
6 Functions of Two Variables
6.1 Functions of Two Variables and Partial Derivatives
6.2 MaximumMinimum Problems
Chapter 6 Summary
Chapter 6 Review Exercises
Chapter 6 Test
Chapter 1 Exercises
Chapter 2 Exercises
Chapter 3 Exercises
Chapter 4 Exercises
Chapter 5 Exercises
Chapter 6 Exercises
7 TABLES
Table 1: Integration Formulas
Table 2: Areas of a Standard Normal Distribution
Index