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MTHE 326 Functions of a Complex Variable Units: 3.50
Complex numbers, analytic functions, harmonic functions. Cauchy's theorem. Taylor and Laurent series. Calculus of residues. Rouche's theorem.
(Lec: 3, Lab: 0, Tut: 0.5)
(Lec: 3, Lab: 0, Tut: 0.5)
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:
- Solving algebraic equations involving complex numbers.
- Computing path integrals of analytic functions using residue theory.
- Computing Taylor and Laurent expansions for analytic functions of a complex variable.
- Proving results on roots of polynomials using complex function theory.
- Proving results on analytic functions.
- Precise formulation of basic definitions and results on analytic functions.
- Precise use of mathematical definitions in proving results on analytic functions.