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MTHE 227  Vector Analysis  Units: 3.00  
Review of multiple integrals. Differentiation and integration of vectors; line, surface and volume integrals; gradient, divergence and curl; conservative fields and potential. Spherical and cylindrical coordinates, solid angle. Green's and Stokes' theorems, the divergence theorem.
(Lec: 3, Lab: 0, Tut: 0)
Requirements: Prerequisites: APSC 171, APSC 172, APSC 174 Corequisites: Exclusions:   
Offering Term: F  
CEAB Units:    
Mathematics 36  
Natural Sciences 0  
Complementary Studies 0  
Engineering Science 0  
Engineering Design 0  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Computing path integrals.
  2. Computing the flux of a vector field across a surface.
  3. Computing the circulation of a vector field around a boundary.
  4. Modeling the area of a region bounded by a simple closed curve as an integral.
  5. Modeling the volume enclosed by a closed surface as an integral.