# Math 3FF3

## Prof. S. Alama / HH-421 / x27363

Office Hours: Mondays 3:00-4:00; Thursdays 11:30-12:30

#### Where are we now?

Homework and Practice Problems

TA: Yusuke Shimabukuro. Office hours Tuesdays 11:30-12:30 and Wednesday 3-4, in HH/401 (Note change!).

Final Exam: Tuesday April 30, 14:00-17:00, in T-28.

## Announcements:

Office Hours and Q&A during Exam Period: Office hours Thursday April 25, 3:30; Friday April 26, 1:00. Q&A session, Monday April 29, 1:30-3:00, in HH/109.

Formula sheet as it will appear on the final exam.

Solutions to: Test 1 | Test 2

There will be no class meeting on Monday April 1st. (Seriously, no joke!)

Yusuke will not have office hours for the week of March 25-29.

Homework #3 and Practice Set # 8. Assigned problems due in class on Thursday April 4.

Note: problem 7.15 should be done as in the proof of the Max. Princ. (Thm 7.5), while problem 7.2 is done with Green's Identity (equation 7.20).

Solutions to even numbered problems in Practice #8.

Practice Set #7 - The Energy Method

p. 128, # 5.16, 5.17, 5.18

Test #2: during class time, Thursday March 21, 9:30-10:20, in HH/109. Covers all material from Separation of Variables, through the Sturm-Liouville problems, to the Energy Method (relevant parts of Chapters 5, 6). Includes lecture material and the content of Practice Sets #5, 6, 6.1, 7, and Homework #2. Your McMaster Standard Casio calculator is permitted (but unneccesary.) Bring ID.

Sample formula sheet. These formulas will be on the front cover of Test 2.

Practice Problems #6. (Corrected!) Not to be submitted, but you will be responsible for their content on the tests.

Some solutions to Practice Sets #5 and #6.

One More Practice Problem (on the Lagrange Identity) NOTE: for part (d), assume alpha=1=gamma and beta=0=delta.

Homework #2. Due in class on Tuesday March 12.

Practice Problems #5. Not to be submitted, but you will be responsible for their content on the tests.

p. 124-127, # 5.1, 5.3, 5.5, 5.10, 5.11, 5.12

Practice Problems #4. Not to be submitted, but you will be responsible for their content on the tests.

Note: you are not responsible for part (b) of problem 4.10 for Test #1 (ie, the part that says the Darboux problem is "well posed".)

Some solutions for Practice #3 and #4

Practice Problems #3. Not to be submitted, but you will be responsible for their content on the tests.

p. 73, # 3.2, 3.3, 3.4

Example on hyperbolic PDE from class

Test #1: Tuesday Feb 12, 10:30-11:20 (usual class time) in T29/101. Covers all material through lecture on Thursday Feb 7, Homework #1 and Practice Problems #1-4. Bring ID. You may bring your McMaster Standard Calculator (Casio fx-991), but it is not necessary.

A formula sheet will be included. Here is a sample.

Homework #1 and Practice #2. The assigned problems are due on Tuesday Jan 29, in class.

Some partial solutions for practice problems #2.

Practice Problems #1. Not to be submitted, but you will be responsible for their content on the tests.

Some hints for PP #1.

The example from class, Thurs Jan 10. Didn't finish it, forgot to come back to in the following class (Sorry...)

Classes begin Monday January 7!