MATH 446

Advanced Partial Differential Equations

Units: 1.5

Hours: 3-0-0

Formerly: MATH 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.

Note:

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

Prerequisites:

  • 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.

Schedules:
Summer 2018 Fall 2018 Spring 2019

Summer timetable available: February 15. Fall and Spring timetables available: May 15.

Before these dates the class schedule will show "No classes were found that meet your search criteria". If this message is shown after these dates, the course is not scheduled for the selected term.