John A. Gemmer


MTH 352/652

Spring 2024

Instructor: John Gemmer
Office: Manchester #388
E-mail: gemmerj@wfu.edu

Office Hours: T 9-10, W 1-3, Th 9-10, 12:30-1:30
Lecture: MWF: 10:00-10:50, Kirby Hall, Room 103
Textbooks: See syllabus.

Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy: (.pdf)
3. Example Homework Solutions: (.pdf )

Quiz Solutions:
1. Quiz #1 (.pdf)
2. Quiz #2 (.pdf)
3. Quiz #3 (.pdf)
4. Quiz #4 (.pdf)
5. Quiz #5 (.pdf)
6. Quiz #6 (.pdf)
7. Quiz #7 (.pdf)
8. Quiz #8 (.pdf)

Exam Solutions:
1. Exam #1 (.pdf)
2. Exam #2 (.pdf)

Matlab Scripts:
1. Heat Equation Demo (.m)
2. Laplace's Equation on a Disk (.m)
3. Laplace's Equation on an Annulus (.m)

Mathematica Notebooks:
1. Boring PDEs (.nb)
2. Wave Equation (.nb)
3. Fourier Series (.nb)
4. Cooling Rod (.nb)
5. Heat Equation on a Bounded Domain (.nb)

Lecture Notes:
1. Lecture #1: (What are Partial Differential Equations?) (.pdf)
2. Lecture #2: (Linear Operators) (.pdf)
3. Lecture #3: (Linear Transport Equation) (.pdf)
4. Lecture #4: (Method of Characteristics) (.pdf)
5. Lecture #5: (Wave Equation) (.pdf)
6. Lecture #6: (Heated Disk) (.pdf)
7. Lecture #7: (Fourier Series) (.pdf)
8. Lecture #8: (More on Fourier Series) (.pdf)
9. Lecture #9: (Finite Differences and Numerical Solutions to Heat Equation) (.pdf)
10. Lecture #10: (Heat Equation on Bounded Domain) (.pdf)
11. Lecture #11: (Stationary Solutions and Wave Equation on Bounded Domain) (.pdf)
12. Lecture #12: (Dispersion Relationships) (.pdf)
13. Lecture #13: (Laplace's Equation) (.pdf)
14. Lecture #14: (Numerical Solutions to Wave Equation) (.pdf)
15. Lecture #15: (Fourier Transforms) (.pdf)
16. Lecture #16: (Generalized Functions) (.pdf)
17. Lecture #17: (Green's Functions) (.pdf)

Homework Assignments:
1. Homework #1 (.pdf), Solutions (.pdf).
2. Homework #2 (.pdf), Solutions (.pdf).
3. Homework #3 (.pdf), Solutions (.pdf).
4. Homework #4 (.pdf), Solutions (.pdf).
5. Homework #5 (.pdf), Solutions (.pdf).
6. Homework #6 (.pdf), Solutions (.pdf).
7. Homework #7 (.pdf), Solutions (.pdf).
8. Homework #8 (.pdf), Solutions (.pdf).
9. Homework #9 (.pdf), Solutions (.pdf).
10. Homework #10 (.pdf), Solutions (.pdf).
11. Homework #11 (.pdf), Solutions (.pdf).