MATH 215 - Calculus I

4 Credits
This course covers differential calculus and an introduction to integral calculus. Topics include: limits and continuity, the definition of the derivative, rules and techniques of differentiation, applications of the derivative (including motion, L’Hôpital’s Rule, curve sketching, optimization, and related rates), antiderivatives, Riemann sums, the definition of the definite integral, the Fundamental Theorem of Calculus, and elementary methods and applications of integration.

Fees: Additional course fees apply.
Prerequisite(s): MATH 150
Course Learning Outcomes:
1. Evaluate limits using a variety of methods.
2. Determine continuity and differentiability of a function.
3. Evaluate derivatives using limits, rules of differentiation, tables of derivatives, and implicit differentiation.
4. Employ derivatives to solve related rates, optimization, and other application problems.
5. Construct graphs of functions utilizing their first and second derivatives.
6. Interpret the behavior of functions based on their first and second derivatives.
7. Describe the behavior of the graph with respect to extrema, direction, and concavity.
8. Evaluate antiderivatives and indefinite integrals of elementary functions.
9. Employ antiderivatives to solve initial value problems and applications.
10. Employ finite sums to approximate total change and the area under a curve.
11. Determine the existence of the definite integral of a function for a given interval.