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MTHE 280 Advanced Calculus Units: 3.50
Limits, Continuity, C', and linear approximations of functions of several variables. Multiple integrals and Jacobians, Line and surface integrals. The theorems of Green, Stokes, and Gauss.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 172, APSC 174
Corequisites:
Exclusions: MATH 221, MTHE 227 (MATH 227)
Offering Term: F
CEAB Units:
Mathematics 42
Natural Sciences 0
Complementary Studies 0
Engineering Science 0
Engineering Design 0
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Demonstrate use of concepts of continuity and differentiability in higher dimensions, including the use of the chain rule.
- Demonstrate ability to parametrize and describe curves, surfaces, and solid regions in higher dimensions.
- Integrate functions over parametrized regions to obtain line integrals, surface integrals, volume integrals.
- Describe the physical meaning and use the differential operators: gradient, curl, and divergence.
- Describe the physical meaning and use the three main theorems of multivariate calculus: Green's Theorem, Gauss's theorem, and Stokes's theorem.