MATH& 148 - Business Calculus

Credits: 5
Variable Credit Course: No

Lecture Hours: 55
Lab Hours: 0
Worksite/Clinical Hours: 0
Other Hours (LIA/Internships): 0

Course Description: Introduces differential and integral calculus for students in business, management, behavioral and social science, or disciplines needing only one quarter of calculus. Topics include limits and continuity, differentiation techniques and applications, integration techniques and applications. Graphing technology required.

Prerequisite: Math& 141 with a grade of C or higher, appropriate placement score, or instructor permission.
Distribution Requirements:

Natural Sciences Distribution Requirement
Quantitative

Meets FQE Requirement: No
Integrative Experience Requirement: No

Student Learning Outcomes

Calculate limits and determine continuity of a function using limit laws.
Evaluate derivatives of polynomial, rational, power, exponential, and logarithm functions.
Find tangent lines to functions using the derivative.
Use the first and second derivative tests to help sketch the graph of a function.
Solve optimization applications using the techniques of differentiation.
Find the antiderivative of basic functions using substitution.
Solve application problems involving area using definite integrals.

Course Contents

Differentiation. Limits and continuity. The derivative as limit of the difference quotient. The product and quotient rule. The chain rule. Calculate tangent lines. Higher order derivatives. Curve sketching using the first and second derivatives. Find extrema using the first and second derivative tests. Derivatives of exponential and logarithmic functions. Implicit differentiation (optional).
Integration. Antiderivatives. Definite integrals and the Fundamental Theorem of Calculus. Integration using substitution.
Applications. Elasticity of Demand. Related rates (optional). Exponential growth and decay models. Marginals of cost, profit and revenue. Optimization applications. Business Applications: a) Annuities and Amortization (optional); b) Minimizing inventory costs (optional); c) Consumer Surplus - Producer Surplus (optional); d) Distribution of wealth - the GINI Index (Optional).

Instructional Units: 5