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Apr 23, 2024
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MA 226 - Calculus III4 lecture hours 0 lab hours 4 credits
Course Description
This subject is a continuation of MA 225 . The topics covered include polar coordinates, curves and areas in polar coordinates, surfaces in three dimensions, partial derivatives, and multiple integrals. Also included are infinite series, tests for convergence, Taylor and Maclaurin series, operations with series, and an introduction to Fourier series. (prereq: MA 225 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Sketch planes and quadratic surfaces in three dimensions
- Find the first and second partial derivatives and the total differential of functions of two or more variables
- Find the minimum or maximum values of functions of two variables
- Evaluate double and triple integrals
- Use double integrals to find volumes bounded by surfaces
- Find centroids and moments of inertia using double integrals
- Sketch curves in polar coordinates
- Find areas in polar coordinates
- Find volumes using cylindrical coordinates
- Test infinite series for convergence
- Find the interval of convergence for a power series
- Find the Maclaurin series for a function
- Find the series expansion of functions using the Maclaurin series of sinusoidal, exponential, and logarithmic functions
- Evaluate integrals using Maclaurin expansions of functions
- Use Maclaurin series to compute the values of functions
- Use Taylor series to compute the values of functions
- Write a Fourier series expansion for selected functions
Prerequisites by Topic
- Algebra
- Trigonometry
- Plane analytic geometry
- Differentiation of algebraic and transcendental functions
- Integration of algebraic and transcendental functions
Course Topics
- No course topics have been appended
Coordinator
Bruce O’Neill
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