MATH 441 (Fall 2026): Differential Equations
Syllabus. MATH 441 – Syllabus (Fall 2026)
Office hours. Tuesdays 15:35-16:25, Harker Hall, Room 314i.
Lecture notes and Exercises.
| Unit # | Lecture notes | Exercises |
| 1 | Introduction and first-order ODEs | Exercises |
| 2 | Second-order linear ODEs | Exercises |
| 3 | The Laplace transform | Exercises |
| 4 | Series solutions of second-order ODEs | Exercises |
| 5 | Linear systems of ODEs | Exercises |
| 6 | Nonlinear systems of ODEs | Exercises |
| 7 | Intro to numerical methods for ODEs | Exercises |
Assignments. Your solutions must be handwritten; I will not accept typed solutions unless you have an accommodation. All assignments are to be handed in class by 11 AM on the due date.
| Homework | Due date | Solutions |
| Homework 1 | Sep 9 | Solutions |
| Homework 2 | Sep 18 | Solutions |
| Homework 3 | Extended to Oct 5 | |
| Homework 4 | Oct 16 | |
| Homework 5 | Oct 30 | |
| Homework 6 | Nov 13 | |
| Homework 7 | Dec 4 |
Quizzes. Each quiz is in class and 50 minutes long.
| Quiz | Solutions | Date | Notes |
| Practice Quiz 0 | Solutions | ||
| Practice Quiz 1 | Solutions | ||
| Practice Quiz 2 | |||
| Practice Quiz 3 | |||
| Mock Quiz | Solutions | Sep 25 | Ungraded. 1% bonus point if attempted in class. |
| Quiz 1 | Oct 9 | Graded | |
| Quiz 2 | Nov 6 | Graded | |
| Quiz 3 | Nov 18 | Graded |
Final exam. The final exam is scheduled to take place on Wednesday, December 16th, between 8:00 and 11:00 AM.
External resources.
- Introductory lectures series on ODEs on Youtube by Associate Professor Jason Bramburger.
- Linear algebra resource: MIT OpenCourseWare (18.06 / 18.06SC).
