
MA 3501  Engineering Mathematics I4 lecture hours 0 lab hours 4 credits Course Description This and the following course cover postcalculus 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: one year of technical calculus 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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