Mathematics (MATH) Courses>Advanced Partial Differential Equations

MATH446 - Advanced Partial Differential Equations

Description

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.

Units

1.5

Hours: lecture-lab-tutorial

3-0-0

Formerly

MATH 445B

Note(s)

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

Prerequisites

  • Complete all of the following
    • Complete 1 of:
    • Complete 1 of:
      • MATH342 - Intermediate Ordinary Differential Equations (1.5)
      • MATH379 - Nonlinear Dynamical Systems and Chaos (1.5)
  • or permission of the department

Course offered by

Department of Mathematics and Statistics

Course schedules

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

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