Class schedule

  • TR 11:35–12:55, Burnside Hall 920

    Date Topics
    R 1/6 Introduction. Cauchy-Kovalevskaya theorem.
    T 1/11 ...
    R 1/13 ...
    T 1/18 ...
    R 1/20 ...
    T 1/25 ...
    R 1/27 ...
    T 2/1 ...
    R 2/3 ...
    T 2/8 ...
    R 2/10 ...
    T 2/15 ...
    R 2/17 ...
    T 2/22 ...
    R 2/24 ...
    T 3/8 ...
    R 3/10 ...
    T 3/15 ...
    R 3/17 ...
    T 3/22 ...
    R 3/24 ...
    T 3/29 ...
    R 3/31 ...
    T 4/5 ...
    R 4/7 ...
    T 4/12 ...

    Recommended books

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    Planned topics

    Course outline

    Instructor: Dr. Gantumur Tsogtgerel

    Prerequisite: MATH 580 (PDE1), MATH 355 (Honours Analysis 4) or equivalent

    Note: If you plan to take this course without taking MATH 580, please consult with the instructor.

    Calendar description: Systems of conservation laws and Riemann invariants. Cauchy-Kowalevskaya theorem, powers series solutions. Distributions and transforms. Weak solutions; introduction to Sobolev spaces with applications. Elliptic equations, Fredholm theory and spectra of elliptic operators. Second order parabolic and hyperbolic equations. Further advanced topics may be included.

    Grading: Homework assignments 50% + Course project 50%.

    Homework: Assigned and graded roughly every other week, through MyCourses.

    Course project: The course project consists of the student reading a paper or monograph on an advanced topic, typing up notes, and giving a lecture.