Welcome to APMA 0360 – partial differential equations, but a whole lot of fun! On this website, you can find the syllabus, lecture notes, homework assignments, and study materials.
Syllabus
APMA 0360 – Syllabus (Spring 2025)
Homework Extension Request Form
Lecture Notes
Note: The lecture notes will be frequently updated. Please refresh your webpage so that you have the most up-to-date version of the notes
Assignments
| Videos | |||
|---|---|---|---|
| Homework 1 | Jan 31 | Solutions | |
| Homework 2 | Feb 7 | Solutions | Transform Method |
| Homework 3 | Feb 14 | Solutions | Factoring Method |
| Homework 4 | Feb 21 | Solutions | |
| Homework 5 | Feb 28 | Solutions | |
| Homework 6 | Mar 14 | Solutions | Energy Method |
| Homework 7 | Mar 21 | Solutions | |
| Homework 8 | Apr 4 | Solutions | |
| Homework 9 | Apr 11 | Solutions | Sum 1/(2m+1)^2 |
| Sum 1/m^6 | |||
| Homework 10 | Apr 25 | ||
| Homework 11 | May 2 | Optional | |
| Mini Project | May 2 |
YouTube Playlists
| Chapter | Playlist |
| 1 | Introduction |
| 2 | First-Order PDE |
| 3 | Wave Equation |
| 4 | Heat Equation |
| 5 | Energy Methods |
| 6 | Fourier Series |
| 7 | Laplace Equation |
| 8 | Applications |
Exams
Midterm 1: Wednesday, March 5, 12-12:50 pm covers Lec 1-13
| Practice Exam | Solutions | Comments |
| Study Guide | ||
| Mock Midterm 1 | Solutions | |
| Mock Midterm 2 | Solutions | |
| Mock Midterm 3 | Solutions | Spring 2023 Midterm 1 |
| Mock Midterm 4 | Solutions | Fall 2024 Midterm 1 |
| Midterm 1 | Solutions | Spring 2025 Midterm 1 |
| Midterm 1 – Review |
Midterm 2: Wednesday, April 16, 12-12:50 pm, covers Lec 14-25
| Practice Exam | Solutions | Comments |
| Study Guide | Updated | |
| Mock Midterm 1 | Solutions | Only do 1, 6, 7 |
| Mock Midterm 2 | Solutions | Ignore 3, 4, 8 |
| Mock Midterm 3 | Solutions | Only do 4 |
| Mock Midterm 4 | Solutions | Spring 2023 Midterm 2 |
| Mock Midterm 5 | Solutions | Fall 2024 Midterm 2 |
| Midterm 2 | Solutions | Spring 2025 Midterm 2 |
| Midterm 2 – Review | ||
| PDE Handout | ||
| Peyam 1 | Solutions | Only do 5, 7, Bonus |
| Peyam 2 | Solutions | Only do 4, 5a |
| Peyam 3 | Solutions | Only do 6 |
| Peyam 4 | Solutions | |
| Canez | Solutions | Only do 16-20 |
| Nadler | Solutions | Only 6, 7 |
| Vojta 1 | Solutions | Only do 9a, 10 |
| Vojta 2 | Solutions | Only do 12, 13 |
| Ribet 1 | Solutions | Only do 5, 9 |
| Ribet 2 | Solutions | Only do 5, 6 |
| Holtz | Solutions | Only do 8, 9 |
| Tarr | Solutions | Only do 1e, 5, 6 |
| Poonen | Solutions | Only do 18, 20 |
| Lenstra | Solutions | Only do 4c, 5 |
| Bergman | Solutions | Only do 3ab, 6 |
Final Exam: Tuesday, May 13, 9 am to 12 pm, covers the entire course
Note: Please also check out the practice midterms above for more study material
| Practice Exam | Solutions | Comments |
| Study Guide | ||
| Mock Final 1 | Solutions | Ignore 7 |
| Mock Final 2 | Solutions | Ignore 3, 4 |
| Mock Final 3 | Solutions | Ignore 4, 8 |
| Mock Final 4 | Solutions | Spring 2023 Final, ignore 7 |
| Final Exam – Review |
Calendar