10 Schedule
Warning
This schedule is subject to change.
Here is the planned course schedule: Assignments will be made available on Mondays and due the following Wednesday.
(L = Lecture, P = Problem Class, A = Assignment)
| Week # | Date | Topic | Assignments |
|---|---|---|---|
| 1 | Jan 21 | L1: Introduction to Math 5486. Note: no lecture on Jan 19 |
A1: Notebooks & Prerequisites, Due: Jan 28, 23:59 Read: Section 5.1 and 5.2 up to “Error bounds for Euler” of Burden, Faires, and Burden (2015) |
| 2 | Jan 26, 28 | Chapter 1: Numerical Methods for Initial Value Problems L2: Basic theory of IVPs L3: Euler’s Method |
Read: Section 5.2, 5.3 of Burden, Faires, and Burden (2015) |
| 3 | Feb 2, 4 | L4: Higher order methods P1: Exercises |
A2, Due: Feb 11, 23:59 Read: Sections 5.4, 5.5 of Burden, Faires, and Burden (2015) |
| 4 | Feb 9, 11 | L5, L6: Runge-Kutta Methods | Read: TBC |
| 5 | Feb 16, 18 | Chapter 2: Iterative Methods in Matrix Algebra L7: Reminders on matrix analysis, direct methods, condition numbers, … L8: Jacobi & Gauss-Seidel methods |
A3 Due: Feb 25, 23:59 |
| 6 | Feb 23, 25 | P2: Exercises, L9: Krylov subspace methods I |
Read: TBC |
| 7 | Mar 2, 4 | L10, L11: Krylov subspace methods II | Note: no assignment - revise for midterm instead! |
| . | . | Note: Spring break, no lectures | . |
| 8 | Mar 16, 18 | P3: Revision Session, Midterm Exam |
Read: TBC |
| 9 | Mar 23, 25 | Chapter 3: Finite Differences for Boundary Value Problems L12: Reminders and theory L13: BVP I |
A4 Due: Apr 1, 23:59 |
| 10 | Mar 30, Apr 1 | L14, L15: BVP II | Read: TBC |
| 11 | Apr 6, 8 | P4: Exercises, Chapter 4: Numerical Solution to PDEs L16: Reminders and overview |
A5 Due: Apr 15, 23:59 |
| 12 | Apr 13, 15 | L17, L18: PDE I | Read: TBC |
| 13 | Apr 20, 22 | L19, L20: PDE II | A6 Due: Apr 29, 23:59 |
| 14 | Apr 27, 29 | Presentations | Read: TBC |
| 15 | May 4 | P5: Revision Session Note: no lecture on May 6 |
. |
| . | May 11 | Final Exam | . |
10.1 Important dates
Please see Spring 2026 Calendar for important dates.
Burden, Richard L., Douglas J. Faires, and Annette M. Burden. 2015. Numerical Analysis. 10th ed. CENGAGE Learning.