Welcome to Partial Differential Equations! For course info and policies, please see the syllabus. For grades, log into Moodle. If you need help or have questions, please contact Prof. Wright

**Prof. Wright's office hours:** Mon. 2–3, Tues. 9:45–10:45, Wed. 9–10, Thurs 1–2, Fri. 10:30–11:30, or by appointment in RMS 405

**Help sessions:** Tues. 7–9pm RNS 204 (Oct. 24 through Nov. 14)

Jump to today

Do the following before next class:

- Complete the Syllabus Quiz.
- Read §1.1 through §1.4 in the textbook. Be sure you understand the derivations of Equations (1.2.4), (1.2.5), (1.2.9), and (1.2.10).
- Begin Homework 1.

Do the following before next class:

- Read §1.5. Note similarities between the derivation of the heat equation in one dimension and in multiple dimensions.
- Finish Homework 1 (due 4pm Thursday).

Do the following before next class:

- Finish deriving Laplace's equation in polar coordinates (solution in the notes from Thursday).
- Read §2.1 and §2.2. Come to class knowing the definition of a
*linear operator*and the*principle of superposition*. - Begin Homework 2.

Do the following before next class:

- Read §2.3. This is a long section, but the the first half (or so) should be somewhat familiar from class. Note what it means for functions to be
*orthogonal*. Also note how infinite series are used in the solutions toward the end of this section. - Finish Homework 2 (due 4pm Thursday).

Do the following before next class:

- Read the §2.3 Appendix (pages 54–55). Also read §2.4, and make sure you understand the two examples in this section.
- Begin Homework 3.

Do the following before next class:

- Read §2.5.1 and §2.5.2. Observe how separation of variables can be used to find equilibrium temperature distributions on a 2-dimensional region.
- Finish Homework 3 (due 4pm Thursday).

Do the following before next class:

- Read §3.1, §3.2, and §3.3 up to page 100.
- Begin Homework 4.

Do the following before next class:

- Read the rest of §3.3. Pay careful attention to the convergence of Fourier (sine/cosine) series.
- Finish Homework 4 (due 4pm Thursday).

Do the following before next class:

- Complete the take-home exam (TeX source).

Do the following before next class:

- Read §3.4. Make sure you understand the conditions under which Fourier series may be differentiated term by term.

Fall break! No class Tuesday, October 17.

Do the following before next class:

- Read §3.5 (it's short!). Note what happens when you integrate Fourier series.
- Do the problems on Homework 5. Typing solutions and turning them in for a grade is optional.

Do the following before next class:

- Read §4.1–4.4. Make sure you understand the derivation of the wave equation and the solution of the wave equation by separation of variables.
- Begin Homework 6.

Tuesday

Oct. 24

Oct. 24

Wave equation

Intro to Sturm-Liouville problems

Intro to Sturm-Liouville problems

Do the following before next class:

- TBA...

Thursday

Oct. 26

Oct. 26

Sturm-Liouville problems

Homework 6

due today

due today

Do the following before next class:

- TBA...

Tuesday

Oct. 31

Oct. 31

Sturm-Liouville problems

Do the following before next class:

- TBA...

Thursday

Nov. 2

Nov. 2

TBA...

Do the following before next class:

- TBA...

Tuesday

Nov. 7

Nov. 7

TBA...

Do the following before next class:

- TBA...

Thursday

Nov. 9

Nov. 9

TBA...

Do the following before next class:

- TBA...

Tuesday

Nov. 14

Nov. 14

TBA...

Do the following before next class:

- TBA...

Thursday

Nov. 16

Nov. 16

TBA...

Do the following before next class:

- TBA...

Tuesday

Nov. 21

Nov. 21

TBA...

Do the following before next class:

- TBA...

Thanksgiving break! No class Thursday, Nov. 23

Do the following before next class:

- TBA...

Tuesday

Nov. 28

Nov. 28

TBA...

Do the following before next class:

- TBA...

Thursday

Nov. 30

Nov. 30

Work on projects

Do the following before next class:

- TBA...

Tuesday

Dec. 5

Dec. 5

Work on projects

Do the following before next class:

- TBA...

Thursday

Dec. 7

Dec. 7

Work on projects

Do the following before next class:

- TBA...

Tuesday

Dec. 12

Dec. 12

Work on projects

Finish projects

Tuesday

Dec. 19

Dec. 19

Project presentations

9:00 – 11:00am

9:00 – 11:00am