Methods and Applications of Partial Differential Equations

Summer II 2003

Instructor: Peter F. Stiller
Office: Blocker Bldg. 634B
Office Phone: 862-2905
E-mail: stiller@math.tamu.edu
Office Hours: Summer II Schedule

Course Information

Time: MTWRF 10:00 to 11:35
Place: CE 136
Text: Basic Partial Differential Equations by David Bleecker and George Csordas
Supplementary Material: See the bibliography below
Prerequisites: The equivalent of Math 308 and Math 601.
Grades: We will have two major exams, a mid-term and a final. Both will count for 35% of the grade, and both will include an in class, as well as a take home, portion. We will also have six homework sets that will count 30% (5% each).
Overview: This course will introduce students to the theory and application of partial differential equations.

Syllabus

We will cover a substantial portion of the material in the book through Chapter 7.

Bibliography:

• xxxxx, Springer Verlag.

Week #1 July 8 - 11

Read: Introduction and Chapter 1, pages 1-56. Try the following exercises:

• Page 17-20 1a, 4a,g,f, 6e,j, 15, 17b
• Page 39-43 1b,d,e,f

Assignment #1 Due Monday July 14th in class.

Do the following exercises: Exercises page 39-43 1c, 2b, 3a, 4d, 7a, 9,13, 15.

Week #2 July 14 - 18

Read: Chapter 2, pages 57-110. Try the following exercises:

• Page 71-73 3, 4, 13
• Page 90-91 8
• Page 107-110 1, 7a,b, 12, 14

Assignment #2 Due Monday July 21st in class.

Do the following exercises: Exercises page 71-73 1d, 2c, 11, 12; page 90-91 1b, 2b (uses 1b), 3d (uses 1b); and page 107-110 3, 6a,b, 10, 13.

Week #3 July 21 - 25

Read: Chapter 3, pages 121-186 and Chapter 4 pages 187-206.

Assignment #3 Due Tuesday July 29th in class.

Do the following exercises: Exercises page 151 1a, 3; page 169 5, 7; page 184 3, 4, 6, 7, 8 (also read exercise 5a,b you will need it in 6 and 7); and page 205 2a, 3, 4, 5a, 7a.

Mid-Term Friday July 25th in class. The take-home portion will be handed out on Thursday July 24th and is due in class Monday July 28th.

Week #4 July 28 - August 1

Read: Chapter 4, pages 207-280 and Chapter 5, pages 281-298.

Assignment #4 Due Thursday August 7th in class.

Do the following exercises: Exercises page 232 1a,b,c,d, 9, 10; page 253 4, 5a, 6, 8a (read part b), 11, 13, 15a; page 278 2a, 6, 7b,d,e.

Week #5 August 3-8

Read: Chapter 5, pages 299-338 and Chapter 6, pages 339-365.

Assignment #5 Due at the time of the Final Exam which is Wed. 8/13 10:30-12:30

Do the following exercises: Exercises page 294 1b,d, 2, 3a, 4, 6a, (read 8 to use in 9), 9; page 317 1b,c,d, 4, 5, 7; page 336 2, 7, 9, 11; page 348 1a,b, 3, 4, 5a,b.