Applied PDE

Math 647: Applied Partial
Differential Equations

(Spring 2019)

TR 1-2:15 in Snow 152

Homework

Homework 1, Due Thursday, January 24
Problems are here.

Solutions

Homework 2, Due Thursday, January 31
Complete the following exercises:
Section 1.1 - Exercises 2, 3, 4.
Section 1.2 - Exercises 1, 2, 7, 8, 13.

Solutions

Homework 3, Due Tuesday, February 12
Complete the following exercises:
Section 1.5 - Exercises 5, 6.
Section 2.1 - Exercises 1, 2, 3, 4, 7, 8(a & b), 9.
Section 2.2 - Exercises 2, 3.

Solutions.

Homework 4, Due Tuesday, Febuary 26
Complete the following exercises:
Section 2.2 - Exercises 1, 5.
Section 2.3 - Exercises 1, 2, 4, 6.
Section 2.4 - Exercises 1, 2, 3, 6, 7, 8, 13.

Hints to selected exercises.
Solutions.

Exam 1 on Tuesday, March 5!!

Homework 5, Due Tuesday, March 26
Complete the following exercises:
Section 3.1 - Exercise 1.
Section 3.2 - Exercises 5.
Section 4.1 - Exercises 2, 4, 6.
Section 4.2 - Exercises 1, 4.

Also, complete these extra problems.
Solutions.

Homework 6, Due Thursday, April 4
Complete the following exercises:
Section 5.1: Exercises 2, 4, 5, 9.
Section 5.2: Exercises 3, 4, 9.
Section 5.3: Exercises 3, 4(a,b).

Solutions.

Homework 7, Due Thursday, April 11
Complete the following exercises:
Section 4.1: Exercise 3.
Section 5.1: Exercise 8.
Section 5.4: Exercises 6, 7(a,c,d,e), 8.
Section 5.5: Exercise 4(a,b).

Also, complete this extra problem.

Solutions.

Exam 2 is Thursday, April 18!!

Homework 8, Due Tuesday April 30
Complete the following exercises:
Section 6.1: Exercises: 6, 8. (Hints: Seek solutions depending only on r...)
Section 6.2: Exercises: 1, 3, 7.
Section 6.4: Exercises: 1, 6, 10.

Also, complete this extra problem.

Solutions.

Homework 9, Due Thursday, May 9
Complete the following exercises:
Section 6.1: Exercise 11. (Hint: Use Green's first identity...)
Section 6.3: Exercises 1, 2 (Both to be completed using Poisson's integral formula).
Section 7.1: Exercise 3, 5. (Hints: For #3, find a BVP satisfied by the difference v of two solutions. Now multiply The PDE by v, integrate over D, and use Green's first identity. For #5, adapt the notes from class for Dirichlet case...).
Section 10.1: Exercises 1.
Section 10.2: Exercises 2, 4, 7.

Solutions.

Final Exam is Thursday, May 16 from 1:30pm-4:00pm.