MATH 2205 - Calculus II
This course is a continuation of Calculus I. This course discusses logarithmic and exponential functions, methods of integration, indeterminate forms and improper integrals, infinite series, vectors in both plane and polar coordinate systems.
Credits: 4
Instructional Method Lecture
General Education Requirement: Math Reasoning
Comments: This course may be used for the quantitative reasoning requirement at UW.
Prerequisites:
MATH 2200 Calculus I with a grade of “C” or better
Minimum Student Competencies
Upon completion of MATH 2205 Calculus II, the student will:
- Solve application problems involving center of mass, work, length, and surface area.
- Evaluate limits using L’Hopitals rule.
- Evaluate derivatives involving exponential and logarithmic equations.
- Evaluate integrals involving exponential and logarithmic equations.
- Solve integrals for involving inverse and hyperbolic trig functions.
- Solve integrals using techniques of integration by parts, partial fractions, u-substitution, and trigonometric substitution.
- Solve both type I and type II improper integrals.
- Convert between polar, rectangular, and parametric coordinates.
- Graph polar and parametric equations.
- Solve integrals involving polar and parametric equations.
- Solve derivatives involving polar and parametric equations.
- Evaluate the convergence of sequences and series.
- Solve problems containing two/three-dimensional vector operations and model physical phenomena with appropriate two/Three-dimensional vector solutions.
Program Outcomes
Mathematics AS
PO#1 Select the most effective mathematical strategy for real-world and theoretical problems.
PO#3 Analyze data using appropriate mathematical methods.
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