Feb 21, 2019  
Middlesex Community College Academic Catalog 2018-19 
Middlesex Community College Academic Catalog 2018-19

MAT 292 - Calculus III for Engineering and Science


Course Description: Topics include vector-valued functions, dot and cross products, motion, curvature and arc length in 3-space, partial derivatives and Chain Rule, directional derivatives and gradients, max/min and Lagrange Multipliers.  Also: double and triple integrals, polar coordinates, and parametric surfaces, and Green’s Theorem with applications in work and potential energy in the study of electricity and magnetism.
Prerequisite(s): Completion of MAT 291 with a C or better
Note(s): A TI - 83+ or 84+ graphing calculator is required.

Course Student Learning Outcomes:
  • Use vectors to analyze lines and curves in 3 dimensional space, motion, lengths of curves, and curvature.
  • Graph surfaces using contours and level curves.
  • Calculate partial derivatives, directional derivatives, and gradient vectors.
  • Apply the second derivative test to locate maxima, minima, and saddle points.
  • Evaluate double and triple integrals in various coordinate systems.

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