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:
- Evaluate limits using a variety of techniques.
- Evaluate derivatives using limits.
- Evaluate derivatives using differentiation rules.
- Solve derivative problems containing related rates.
- Solve derivative problems containing optimization.
- Solve indefinite integral problems.
- Solve definite integral problems.
- Solve integrals to find the area under a curve.
- Solve integral problems using the washer, disc, and shell methods for finding volumes.
- Evaluate derivatives involving exponential and logarithmic equations.
- Evaluate integrals involving exponential and logarithmic equations.
- Evaluate limits using L’Hopital’s rule.
Program Outcomes
Mathematics AS
PO#2 Apply appropriate mathematical techniques to real-world and theoretical problems.
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