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Nov 10, 2024
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MA 3501 - Engineering Mathematics I4 lecture hours 0 lab hours 4 credits Course Description This and the following course cover post-calculus topics of interest to and importance for engineers. We study vector operations, calculus of several variables (partial differentiation and multiple integration) and line integrals. (prereq: MA 137 or equivalent) Course Learning Outcomes Upon successful completion of this course, the student will be able to:
- Perform vector operations and their applications to area and volume
- Determine the length of parametrically defined curves
- Find tangent lines to parametrically defined curves
- Find gradients and directional derivatives
- Find tangent planes and normal lines to surfaces
- Find extrema of functions of two variables
- Evaluate line integrals and interpret the result as work
- Evaluate curl and divergence of a vector field
- Evaluate iterated integrals, including the interchange of order in rectangular and polar coordinates
- Evaluate moments and centroids
- Apply Green’s Theorem to evaluate line integrals around simple closed curves
Prerequisites by Topic
- Differentiation of trigonmetric, inverse trigonometric, exponential and logarithmic functions, techniques of integration (direct and inverse substitution, integration by parts, trigonometric integrals and partial fractions)
Course Topics
- Vector operations
- Calculus of several variables, including use of gradients, partial differentiation and multiple integrals, curl and divergence and Green’s Theorem
Coordinator Bruce O’Neill
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