Department of Mathematics

University of Toronto

APM346 Partial Differential Equations

Fall of 2015; Section L5101


Teaching Assistants

Kyle Thompson

Evan Miller

Jackson Feng

2015-2016 Timetable Description

Sturm-Liouville problems, Green's functions, special functions (Bessel, Legendre), partial differential equations of second order, separation of variables, integral equations, Fourier transform, stationary phase method.

  • Prerequisite: MAT235Y1/MAT237Y1/MAT257Y1,
  • Exclusion: APM351Y1
  • Distribution Requirement Status: This is a Science course
  • Breadth Requirement: The Physical and Mathematical Universes (5)

Learning Resources

  • This class in the previous years (as I taught)


    • Test 1 (2 hours long) -- Oct. 21, Wed, 19:10–21:00, SF 3202
    • Test 2 (2 hours long) -- Nov. 18, Wed, 19:10–21:00, SF 3202
    For early/late sittings TBA

    Marking scheme

    Your Final Mark will be computed as follows: \begin{gather} \mathsf{FM}= \min\bigl[\mathsf{T}_1 + \mathsf{T}_2 + 0.8\cdot\mathsf{Q} + \mathsf{BM}+\mathsf{FEM},\, 100\bigr],\\[3pt] \mathsf{Q} = \mathsf{Q}_1 + \mathsf{Q}_2+\mathsf{Q}_3 + \mathsf{Q}_4 + \mathsf{Q}_5 + \mathsf{Q}_7 \qquad \text{with 2 worst Quizzes dropped} \end{gather} where $\mathsf{FM}$ and $\mathsf{FE}$ are your Final Mark, and the Final Exams Mark respectively,

    • $\mathsf{T}_1$ and $\mathsf{T}_2$ are your Test 1 and Test 2 marks (each of these tests is worth 20 points),
    • $\mathsf{Q}_n$ are Quiz marks (each 4 points worth), $n=1,2,\ldots,7$, the worst of them is dropped, so $\mathsf{Q}$ is 20 points worth, (each quiz marked out of 5 so $\mathsf{Q}$ gets factor $0.8$;
    • $\mathsf{BM}$ is the bonus mark calculated as $\mathsf{BM}=\min (\mathsf{B}_{\text{class}}+\mathsf{B}_{\text{web}},10)$, where
    • $\mathsf{B}_{\textsf{class}}$ and $\mathsf{B}_{\textsf{web}}$ are the bonus points for the activity in the class and, respectively, contributions to the forum.
    • $\mathsf{FEM}$ is a Final Exam Mark, 40 points

    Home assignments are neither submitted nor graded but Quizzes will be drawn from Home assignments which are due, Quizzes are usually biweekly and are 15--20 min long in class time (usually Thursday, 19:40–20:00), see Lecture Notes which cover also Home assignments and Quizzes.

    Missing work

    There will be no make up (even) for a legitimately missing work, but the remainder will count heavier. Namely: $\mathsf{FM}$ will get factor $100/(100-L)$ with $L$ the sum of all legitimately missed tests or quizzes (while the worst Quiz is still dropped).

    Since there will be early and late sittings for Tests and since Quizzes are during class time you need to provide a doctor's note covering the day of the missing test.

    Loss of work must be reported the day of the return of the respective work.