MTH 1309  Calculus for Business Students
Marvin L. Bittinger, Addison Wesley Publishers
Detailed Course Description
 Graphs & Equations
 Functions and Models
 Finding Domain and Range
 Slope and Linear Functions

Other Types of Functions
 Limits and Continuity: Numerically & Graphically
 Limits: Algebraically
 Average Rates of Change
 Differentiation Using Limits of Difference Quotients
 Differentiation Techniques: The Power & SumDifference Rules
 Instantaneous Rates of Change: Business Applications
 Differentiation Techniques: The Product & Quotient Rules
 The Chain Rule

HigherOrder Derivatives
 Using First Derivatives to Find Maximum & Minimum Values and Sketch Graphs
 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
 Using Derivatives to Find Absolute Maximum & Minimum Values

MaximumMinimum Problems: Business & Economics Applications
 Exponential Functions
 Logarithmic Functions
 Applications: The Uninhibited Growth Model

Applications: Decay
 Integration
 Area and Definite Integrals
 Limits of Sums and Accumulations
 Properties of Definite Integrals

Integration Techniques: Substitution

Present and Future Value of Income Streams
 Functions of Several Variables
 Partial Derivatives
 HigherOrder Partial Derivatives
 MaximumMinimum Problems
 An Application: The LeastSquares Technique
 Constrained Maximum & Minimum Values
 Lagrange Multipliers