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MATH 326 Functions of a Complex Variable Units: 3.00
Complex numbers, analytic functions, harmonic functions, Cauchy's Theorem, Taylor and Laurent series, calculus of residues, Rouche's Theorem.
Learning Hours: 120 (36 Lecture, 12 Tutorial, 72 Private Study)
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Computing path integrals of analytic functions using residue theory.
- Computing Taylor and Laurent expansions for analytic functions of a complex variable.
- Proving results on analytic functions.
- Proving results on roots of polynomials using complex function theory.
- Solving algebraic equations involving complex numbers.
- Work with precise formulation of basic definitions and results on analytic functions.
- Work with precise use of mathematical definitions in proving results on analytic functions.