## APM346 Partial Differential Equations

### General:

• Lectures:
• instructor: Victor Ivrii
• office: HU 1008, Huron 215
• phone: 416-978-4031
• email: ivrii@math.toronto.edu
• office hours: Preliminary
• Mon, 15:15—16:15 (and also immediately before and after the lecture).
• Thu, 15:15—16:15 (and also immediately before the first and after the second lecture).
• Mon, 13:00—13:45 (but another class has a priority).
• Wed, 17:00—17:45 (but another class has a priority).

#### Teaching Assistants and Tutorials

For L0201 please enroll into tutorial section:

• T0101, Thursday, 12:00—13:00, SS 2110
• T5102, Wednesday, 17:00—18:00, BA 3012
• TA: Nathan Carruth
• office: PG301 (PGB - 45 St. George St.)
• phone: 416-978-7510
• email: n.carruth@mail.utoronto.ca
• Office hours: during tutorials

#### 2017-2018 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,
MAT244H1/MAT267H1
• Exclusion: APM351Y1
• Distribution Requirement Status: This is a Science course
• Breadth Requirement: The Physical and Mathematical Universes (5)

### Learning Resources

#### Tests

• Term Test 1 (2 hours long) Thu, February 15, 15:20— 17:20, EX 300.
• Term Test 2 (2 hours long) Thu, March 22, 15:20— 17:20, EX 320
There will be early/late sittings (TBA).

#### Marking scheme

Your Final Mark will be computed as follows: \begin{gather} \mathsf{FM}= \min\bigl[ \mathsf{Q} + \mathsf{BM}+\mathsf{T}_1 + \mathsf{T}_2 + \mathsf{FEM},\, 100\bigr],\\[3pt] \mathsf{Q} = \mathsf{Q}_1 + \mathsf{Q}_2+\mathsf{Q}_3 + \mathsf{Q}_4 + \mathsf{Q}_5 + \mathsf{Q}_6 + \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), $n=1,2,\ldots,7$, two worst of them is dropped, so $\mathsf{Q}$ is 20 points worth,
• $\mathsf{BM}$ is the bonus mark calculated as $\mathsf{BM}=\min (\mathsf{B}_{\text{class}}^{\text{Lec}}+\mathsf{B}_{\text{class}}^{\text{Tut}}+\mathsf{B}_{\text{web}},10)$, where
• $\mathsf{B}_{\textsf{class}}^{\text{Lec}}$, $\mathsf{B}_{\textsf{class}}^{\text{Tut}}$ and $\mathsf{B}_{\textsf{web}}$ are the bonus points for the activity in the class (during lectures and tutorials, respectively) and contributions to the forum.
• $\mathsf{FEM}$ is a Final Exam Mark, 40 points worth.

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, 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: $\mathsf{T}_1 + \mathsf{T}_2 + \mathsf{FEM}$ will get factor $80/(80-L)$ with $L$ the sum of all legitimately missed tests. Similarly $\mathsf{Q}$ will get a factor $20/(20-LQ)$ with $LQ$ the sum of all legitimately missed quizzes.

Since there will be early and late sittings for Tests and since Quizzes are during class time you need to provide a Verification of Student Illness or Injury form covering the day of the missing test.

You may email me a scan of this form when you receive it, but then you need to bring me the original .