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MTHE 338  Fourier Methods for Boundary Value Problems  Units: 3.50  
Methods and theory for ordinary and partial differential equations; separation of variables in rectangular and cylindrical coordinate systems; sinusoidal and Bessel orthogonal functions; the wave, diffusion, and Laplace's equation; Sturm-Liouville theory; Fourier transform techniques.
NOT OFFERED 2024-2025
(Lec: 3, Lab: 0, Tut: 0.5)
Requirements: Prerequisites: MTHE 227 (MATH 227) or MTHE 280 (MATH 280), MTHE 237 (MATH 237) or MTHE 225 (MATH 225), or permission of the instructor Corequisites: Exclusions:   
Offering Term: W  
CEAB Units:    
Mathematics 28  
Natural Sciences 0  
Complementary Studies 0  
Engineering Science 14  
Engineering Design 0  
Offering Faculty: Faculty of Arts and Science  

Course Learning Outcomes:

  1. Computing Fourier series expansions of functions.
  2. Computing solutions to boundary value problems.
  3. Proving that a given Sturm-Liouville problem has only positive eigenvalues.
  4. Selection of Fourier integral or Fourier series for representation of harmonic functions.