Math 481: Applied Partial Differential Equations (Spring 2025)
Course Information
- Title: Applied Partial Differential Equations (3 hours/4 hours)
- Lecture Time: Monday/Wednesday/Friday 10am - 10:50am
- Lecture Location: Addams Hall 307
Personal Information
- Office: 1219 Science and Engineering Offices (SEO)
- E-mail: davidn ((at)) uic ((dot)) edu
Office Hours
- Time: Wednesdays, 2pm - 3pm, or by appointment.
- Location: SEO 1219
Textbook
- Gockenbach, Partial Differential Equations:
Analytical and Numerical Methods (Second Edition).
Other References
- Haberman,
Applied Partial Differential Equations with Fourier Series
and Boundary Value Problems,
Fifth Edition.
- Strauss,
Partial Differential Equations: An Introduction,
Second Edition.
Grading
- Homeworks: 20%
- Quizzes: 10%
- Exam 1: 20%
- Exam 2: 20%
- Final: 30%
Homeworks
- Homework 1 due
Friday, January 31 by 2pm.
- Homework 2 due
Friday, February 14 by 2pm.
- Homework 3 due
Friday, February 28 by 2pm.
- Homework 4 due
Friday, March 14 by 2pm.
- Homework 5 due
Friday, April 11 by 2pm.
- Homework 6 due
Friday, May 2 by 2pm.
Quizzes
- Quizzes will take place on the following eleven
Fridays:
Jan 24, Jan 31, Feb 7, Feb 14, Feb 28, Mar 7,
Mar 14, Mar 21, Apr 11, Apr 18, Apr 25.
(No quizzes first, midterm, or
last weeks.)
Exams
- Midterm 1:
Friday, February 21 (in class).
- Midterm 2:
Friday, April 4 (in class).
- Final Exam:
Friday, May 9
(10:30am-12:30pm, location TBA).
Tentative Schedule and Homework Problems
| Week | Date | Sections/Topics |
Homework Problems |
| 1 | Mon, Jan 13 | Ch. 1 | [HW 1]: 2, 10 |
| | Wed, Jan 15 | Ch. 2 | [HW 1]: 2.1: 8, 2.4: 4 |
| | Fri, Jan 17 | 3.1 | [HW 1]: 6, 12 |
| 2 | Mon, Jan 20 | MLK DAY |
| | Wed, Jan 22 | 3.2 | [HW 1]: 4(a), 8 |
| | Fri, Jan 24 | 3.3 | [HW 1]: 6, 8 |
| 3 | Mon, Jan 27 | CANCELLED | |
| | Wed, Jan 29 | 3.4 | [HW 2]: 2, 8 |
| | Fri, Jan 31 [HW 1 due] |
3.4 | |
| 4 | Mon Feb 3 | 3.5 (3.6) | [HW 2]: 3.5: 2, 6 |
| | Wed, Feb 5 | (4.1) 4.2 | [HW 2]: 4.2: 10 |
| | Fri, Feb 7 | 4.3 (4.4) | [HW 2]: 4.3: 4 |
| 5 | Mon, Feb 10 | 5.1 | [HW 3]: 2, 10 |
| | Wed, Feb 12 | 5.2 | [HW 3]: 2, 10(a,b) |
| | Fri, Feb 14 [HW 2 due] |
5.2 | |
| 6 | Mon, Feb 17 | 5.3 | [HW 3]: 2, 6 |
| | Wed, Feb 19 |
REVIEW |
| | Fri, Feb 21 |
MIDTERM 1 |
| 7 | Mon, Feb 24 | 5.3 | |
| | Wed, Feb 26 | 5.4 | [HW 4]: 2, 6 |
| | Fri, Feb 28 [HW 3 due] |
5.4 | |
| 8 | Mon, Mar 3 | Guest Lecture | |
| | Wed, Mar 5 | 5.5 | [HW 4]: 2, 6 |
| | Fri, Mar 7 | 5.5 | |
| 9 | Mon, Mar 10 | 5.6 | |
| | Wed, Mar 12 | 5.6 | |
| | Fri, Mar 14 [HW 4 due]
| 5.6 (MATLAB) | |
| 10 | Mon, Mar 17 | 6.1 | [HW 5]: 2, 4 |
| | Wed, Mar 19 | 6.1 | |
| | Fri, Mar 21 | 6.2 | [HW 5]: 2, 4 |
| 11 | Mon, Mar 31 | 6.3 | [HW 5]: 6, 10 |
| | Wed, Apr 2 |
REVIEW |
| | Fri, Apr 4 |
MIDTERM 2 |
| 12 | Mon, Apr 7 | 7.1 | [HW 6]: 2, 4 |
| | Wed, Apr 9 | 7.1 | |
| | Fri, Apr 11 [HW 5 due]
| 7.2 | [HW 6]: 2, 10 |
| 13 | Mon, Apr 14 | 7.2 | |
| | Wed, Apr 16 | 7.2 | |
| | Fri, Apr 18 | 7.4 | [HW 6]: 4 |
| 14 | Mon, Apr 21 | 8.1 | [HW 6]: 2, 8 |
| | Wed, Apr 23 | 8.1 | |
| | Fri, Apr 25 | 8.2 | [HW 6]: 2, 4 |
| 15 | Mon, Apr 28 | 8.2 | |
| | Wed, Apr 30 | 8.2 | |
| | Fri, May 2 [HW 6 due] |
REVIEW |
MATLAB Documentation