MATH 446

Advanced Partial Differential Equations

Units: 1.5

Hours: 3-0

Formerly: 445B

Classical linear PDEs : transport, Laplace, Poisson, heat, and wave equations. Scalar nonlinear first order equations, Hamilton-Jacobi, conservation laws, characteristics and notion of weak solutions. Representation of solutions, similarity solutions, Fourier transform, singular perturbation, travelling waves, power series solutions. Sobolev spaces, elliptic equations, Lax-Milgram, regularity, maximum principle. Linear evolution equations, parabolic and hyperbolic, semi-group theory. Additional topics as time permits.


  • Credit will be granted for only one of MATH 446, MATH 445B.


  • One of MATH 335, MATH 336, MATH 434; and
  • MATH 342; or
  • permission of the department

Undergraduate course in Mathematics offered by the Department of Mathematics and Statistics in the Faculty of Science.

Fall 2017 Spring 2018 Summer 2018

Note that not all courses are offered in every term. If a course is not offered, the schedule page will alert you that "No classes were found that meet your search criteria."