Math& 148 ~ Business Calculus  
 
 
 

Course Description
Techniques of calculating integrals and derivatives and their applications in business, economics, biology and human relations.

Prerequisite
Math 141 with a grade of C or higher, or equivalent math placement score.

Mode of Delivery (Modes)
Lecture, DE.

Offered
Winter, Spring

Required for:

Satisfies the Direct Transfer Agreement (DTA) two-year degree.

Course Content

Text: Calculus and its Applications, 10th Ed., Bittinger, Pearson Publishing

1. Differentiation
1.1 Limits: A Numerical and Graphical Approach
1.2 Algebraic Limits and Continuity
1.3 Average Rates of Change
1.4 Differentiation Using Limits of Difference Quotients
1.5 Differentiation Techniques: The Power and Sum-Difference Rules
1.6 Differentiation Techniques: The Product and Quotient Rules
1.7 The Chain Rule
1.8 Higher-Order Derivatives

2. Applications of Differentiation
2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs
2.2 Using Second Derivatives to Find Maximum and Minimum Values and Sketch Graphs
2.3 Graph Sketching: Asymptotes and Rational Functions
2.4 Using Derivatives to Find Absolute Maximum and Minimum Values
2.5 Maximum-Minimum Problems; Business and Economics Applications
2.6 Marginals and Differentials
2.7 Implicit Differentiation and Related Rates

3. Exponential and Logarithmic Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.3 Applications: Uninhibited and Limited Growth Models
3.4 Applications: Decay
3.5 The Derivatives of ax and loga(x)
3.6 An Economics Application: Elasticity of Demand

4. Integration
4.1 Antidifferentiation
4.2 Antiderivatives
4.3 Area and Definite Integrals
4.4 Properties of Definite Integrals
4.5 Integration Techniques: Substitution

5. Applications of Integration
5.1 An Economics Application: Consumer Surplus and Producer Surplus