Instructor: John Gemmer
Office: Manchester #360
Phone: 336-758-5386
E-mail: gemmerj@wfu.edu Office Hours: Monday 1-3, Tuesday 2-3, Wednesday 3-5
Lecture: TR: 9:30-10:45, Manchester Hall 124
Textbooks: Olver, Peter J. Introduction to partial differential equations. Switzerland: Springer, 2014.
Course Handouts:
1. Syllabus: (.pdf)
2. Homework Policy: (.pdf)
3. Latex Templates
4. Overleaf
Mathematica Notebooks:
1. Fourier Series (.nb)
2. Heat Equation on Bounded Domains (.nb)
Matlab Scripts:
1. Derivative Approximation Script (.m)
2. Numerical Solution to Heat Equation with Dirichlet Boundary Conditions (.m)
Term Paper Projects
1. Numerical Solutions to the Advection Equation (.pdf)
2. Fredholm Alternative (.pdf)
3. Planar solutions to PDEs (.pdf)
4. Solutions to nonlinear first order equations (.pdf)
Lecture Notes:
1. Lecture 1: Introduction to PDEs (.pdf)
2. Lecture 2: Linear transport equation (.pdf)
3. Lecture 3: Wave Equation (.pdf)
4. Lecture 4: Heated Ring (.pdf)
5. Lecture 5: Fourier Series I (.pdf)
6. Lecture 6: Fourier Series II (.pdf)
7. Lecture 7: Solutions to Heat Equation (.pdf)
8. Lecture 8: Numerical Solutions to Heat Equation (.pdf)
9. Lecture 9: Wave Equation on Bounded Domain (.pdf)
10. Lecture 10: Numerical Solutions to Wave Equation (.pdf)
11. Lecture 11: Laplace's Equation (.pdf)
12. Lecture 12: The Delta Function (.pdf)
13. Lecture 13: Green's Functions (.pdf)
14. Lecture 14: Fourier Transforms (.pdf)
15. Lecture 15: PDES on Unbounded Domains (.pdf)
16. Lecture 16: Maximum Principle (.pdf)
Homework Assignments:
1. (Due 01/22/19): Homework 1 (.pdf), (Solutions.pdf)
2. (Due 01/29/19): Homework 2 (.pdf), (Solutions.pdf)
3. (Due 02/05/19): Homework 3 (.pdf), (Solutions.pdf)
4. (Due 02/12/19): Homework 4 (.pdf), (Solutions.pdf)
5. (Due 02/19/19): Homework 5 (.pdf), (Solutions.pdf)
6. (Due 02/26/19): Homework 6 (.pdf), (Solutions.pdf)
7. (Due 03/05/19): Homework 7 (.pdf), (Solutions.pdf)
8. (Due 03/19/19): Homework 8 (.pdf), (Solutions.pdf)
9. (Due 03/26/19): Homework 9 (.pdf), (Solutions.pdf)
10. (Due 04/09/19): Homework 10 (.pdf), (Solutions.pdf)
11. (Due 04/16/19): Homework 11 (.pdf), (Solutions.pdf)
12. (Due 04/23/19): Homework 12 (.pdf), (Solutions.pdf)
13. (Due 04/30/19): Homework 13 (.pdf), (Solutions.pdf)