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MATH 221  Vector Calculus  Units: 3.00  
Double and triple integrals, including polar and spherical coordinates. Parameterized curves and line integrals. Gradient, divergence, and curl. Green's theorem. Parameterized surfaces and surface integrals. Stokes' and Gauss' Theorems.
Learning Hours: 120 (36 Lecture, 84 Private Study)  
Requirements: Prerequisite MATH 120 or MATH 121 or MATH 124 or MATH 126. Exclusion MATH 280. Recommended Some linear algebra.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Calculate and work with gradients, divergence and curl, and spherical and cylindrical coordinates.
  2. Integrate vector functions and evaluate path integrals, surface integrals and volume integrals.
  3. Perform calculations using Green's and Stokes' Theorems, and the Divergence Theorem.
  4. Work with multi-variable functions and vectors in dimensions 2 and 3.