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MATH 280  Advanced Calculus  Units: 3.00  
Limits, continuity, C¹ and linear approximations of functions of several variables. Multiple integrals and Jacobians. Line and surface integrals. The theorems of Green, Stokes, and Gauss.
Learning Hours: 132 (36 Lecture, 12 Tutorial, 84 Private Study)  
Requirements: Prerequisite (MATH 110/6.0 or MATH 111/6.0* or MATH 112/3.0) and (MATH 120/6.0 or MATH 121/6.0 or MATH 124/3.0). Exclusion MATH 221/3.0.  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Computing areas of regions bounded by simple closed curves.
  2. Computing path integrals.
  3. Computing potential functions for conservative vector fields.
  4. Determining whether or not a given force field is conservative.
  5. Determining whether or not a given vector field can be the curl of another vector field.
  6. Evaluating the work done by a force field along a path.
  7. Using Green's theorem for computing contour integrals.