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MTHE 228  Complex Analysis  Units: 3.50  
Complex arithmetic, complex plane. Differentiation, analytic functions. Elementary functions. Elementary functions. Contour integration, Cauchy's Theorem and Integral Formula. Taylor and Laurent series, residues with applications to evaluation of integrals.
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: APSC 171, APSC 172, APSC 174 Corequisites: Exclusions:   
Offering Term: W  
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:

  1. Evaluating contour integrals using residue theory.
  2. Computing harmonic conjugates of harmonic functions.
  3. Solving algebraic equations involving complex numbers.
  4. Computing Taylor and Laurent expansions of complex analytic functions.
  5. Proving basic properties of complex analytic functions.
  6. Understanding basic properties of complex mappings.