Feb 25, 2024  
2018-2019 Undergraduate Academic Catalog 
2018-2019 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 3501 - Engineering Mathematics I

4 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: 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

Bruce O’Neill

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