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MATH 228 Complex Analysis Units: 3.00
Complex arithmetic, complex plane. Differentiation, analytic functions. Elementary functions. Contour integration, Cauchy's Theorem, and Integral Formula. Taylor and Laurent series, residues with applications to evaluation of integrals.
Learning Hours: 120 (36 Lecture, 12 Tutorial, 72 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 326/3.0; PHYS 312/6.0*; PHYS 317/3.0.
Offering Faculty: Faculty of Arts and Science
Course Learning Outcomes:
- Compute harmonic conjugates of harmonic functions.
- Compute Taylor and Laurent expansions of complex analytic functions.
- Evaluate contour integrals using residue theory.
- Prove basic properties of complex analytic functions.
- Solve algebraic equations involving complex numbers.
- Understand basic properties of complex mappings.