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MATH 3032

Complex Functions and PDEs

0.5 credits · Undergraduate

Winter 2026

Topics

  • The course covers two separate topics: partial differential equations (ap
  • proximately 9 weeks) and complex analysis (approximately 3 weeks)
  • complex functions and contour integrals
  • The rest of the term is dedicated to partial differential equations, starting
  • with series solutions to ordinary differential equations, Bessel and Legendre
  • equations and series, Fourier series, the method of separation of variables
  • and boundary value problems in rectangular and curvilinear coordinates
  • for you to accept their self-declaration for the purposes of rescheduling their
Winter 2026 · Complex Functions and Partial Differential Equations

Topics

  • Series solutions of ODEs and Bessel’s equation
  • orthogonal functions
  • Fourier sine, cosine and complex series
  • Sturm–Liouville problems
  • heat, wave and Laplace equations
  • boundary-value problems in rectangular, polar, cylindrical and spherical coordinates
  • complex functions and Cauchy’s integral formula.

Readings

Winter 2019

Readings

  • Advanced engineering mathematics by Dennis G. Zill and Warren S. Wright. Recommended, but not required. Chapters to be covered: 12—18, excluding 13.8.
Sources