MAT351 Partial Differential Equations


Fall Meetings: Tuesdays 9:00-10:00am EST in room MY315 (Myhal Centre)
Winter Meetings: Fridays 1:00-2:00pm EST in room SK222 (246 Bloor Street West)
Textbooks/references:

  • W. Strauss, Partial Differential Equations: An Introduction, 2nd edition, Wiley
  • R. Choksi, Partial Differential Equations: A First Course, AMS 2022

Tutorials

Here you will find information on what I covered in the tutorials. If a tutorial appears hyperlinked (blue), you can click it to find the typed notes. If you happen to find any errors, please feel free to contact me.

  • Tutorial 1 - 9/20/2022
  • Tutorial 2 - 9/27/2022
  • Tutorial 3 - 10/4/2022
  • Tutorial 4 - 10/11/2022
  • Tutorial 5 - 10/18/2022
  • Tutorial 6 - 10/25/2022
  • Tutorial 7 - 11/1/2022
  • Tutorial 8 - 11/15/2022
  • Tutorial 9 - 11/22/2022: Term test review & office hours
  • Tutorial 10 - 11/29/2022
  • Tutorial 11 - 12/6/2022
  • Tutorial 12 - 1/13/2023: Selected exercises from Strauss 7.1-7.3 that are not covered in the homework
  • Tutorial 13 - 1/20/2023: Strauss 7.4, Green’s function for the ball, solution formula for Dirichlet problem
  • Tutorial 14 - 1/27/2023: Strauss 7.3 and 7.4, Green’s function for the half-ball and quadrant. Uniqueness.
  • Tutorial 15 - 2/3/2023: Selected exercises from Strauss 9.1-9.2 that are not covered in the homework
  • Tutorial 16 - 2/10/2023: Selected exercises from Strauss 9.4
  • Tutorial 17 - 2/17/2023: Selected exercises from Strauss chapter 6 and 9 (practice for term test 2).
  • Tutorial 18 - 3/3/2023: Strauss 11.1-11.2 with some selected exercises.
  • Tutorial 19 - 3/10/2023: Strauss 12.1 with some selected exercises. Also included examples from Chapter 5 of Choksi
  • Tutorial 20 - 3/17/2023: Strauss 12.1-12.3 with a focus on Fourier transforms.
  • Tutorial 21 - 3/24/2023: Strauss 12.3-12.5 with selected exercises.
  • Tutorial 22 - 3/31/2023: Solving PDEs with transforms, Laplace transform, bilateral Laplace transform
  • Tutorial 23 - 4/21/2023: Bonus review session for the final exam.