MAC 2233 - APPLIED CALCULUS
Catalog Description:
(3) (A.A.) Three hours lecture per week. Prerequisite: MAC 1105 or equivalent. This
course meets Area II requirements for both the A.A. general education requirements and
the A.S. general education requirements. Topics in this course include limits,
differentiation and integration of algebraic, exponential, and logarithmic functions,
integration techniques and related applications in management, business, and social
sciences. This course is not designed for science majors.
Performance Standards:
The student will be able to:
1. Evaluate limits algebraically and by graph interpretation.
2. Determine where a function is continuous.
3. Use limits to find asymptotes and the graphs of functions.
4. Find the derivative as a limit of the difference quotient.
5. Find the derivative of functions involving polynomials, products and quotients of
polynomials as well as exponential and logarithmic functions by appropriate
formulas.
6. Use the chain rule to find the derivative of any of the functions given above.
7. Use implicit differentiation to find the derivative.
8. Find higher order derivatives by any of the above techniques.
9. Find average and instantaneous rate of change.
10. Find the slope of a graph and equation of the tangent line.
11. Solve velocity and acceleration problems.
12. Solve marginal profit, cost and revenue problems.
13. Solve related rates problems.
14. Solve problems involving differentials and marginal analysis.
15. Analyze the graphs of polynomial, exponential, and logarithmic functions finding
extrema and points of inflection.
16. Solve optimization problems.
17. Find antiderivatives of polynomial, exponential and logarithmic functions.
18. Use the general power rule and substitution to find the antiderivatives.
19. Use the fundamental theorem of calculus to evaluate integrals.
20. Find area and volume using integrals.
Date of Last Revision: April 1, 2002
