**Revised 2**^{nd} 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 **