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# MATH 2200 - Calculus I

This course covers topics including plane analytic geometry, differentiation, applications of the derivative, differential equations, limits, and the basic integrals and their applications.

Credits: 4

Instructional Method Lecture

General Education Requirement: Math Reasoning
Comments: This course may be use for the quantitative reasoning requirement at UW.

Prerequisites:
MATH 1405 Pre-Calculus Trigonometry with a grade of “C” or better OR MATH 1450 Pre-Calculus Algebra & Trigonometry with a grade of “C” or better OR Math Placement Level VI.

Minimum Student Competencies
Upon completion of MATH 2200 Calculus I, the student will:

1. Evaluate limits using a variety of techniques.
2. Evaluate derivatives using limits.
3. Evaluate derivatives using differentiation rules.
4. Solve derivative problems containing related rates.
5. Solve derivative problems containing optimization.
6. Solve indefinite integral problems.
7. Solve definite integral problems.
8. Solve integrals to find the area under a curve.
9. Solve integral problems using the washer, disc, and shell methods for finding volumes.
10. Evaluate derivatives involving exponential and logarithmic equations.
11. Evaluate integrals involving exponential and logarithmic equations.
12. Evaluate limits using L’Hopital’s rule.

Program Outcomes
Mathematics AS

PO#2 Apply appropriate mathematical techniques to real-world and theoretical problems.