# Math 341     Differential Equations     Spring 2010

## Instructor: Sunil Chebolu

• Office: Stevenson 303B
• Email: szchebol@ilstu.eduz (with the two "z"'s removed)
• Office Hours: Mondays and Fridays 3:00 -- 4:00 PM.
• Class meeting time and place:
• Section 1, 2:00 -- 2:50 MWF, STV 120.
• Text: Differential Equations -- An introduction to modern methods and applications. James R. Brannan and William E. Boyce

Announcements:

• (April 11) Project presentations will be start next week. So please start working on your projects.
• (Feb 1st) Monday's office hours for this week are moved to Wedneday 10:00 - 11:00 AM.
• (Jan 12) There were some typos in the homework assignment below. I gave wrong section numbers and dates. It is now fixed.
• (Jan 11) Welcome to the homepage of Math 341! Please check this webpage for announcements.

## Maple Files

System of 2 first order homogeneous autonomous LDEs (x' = Ax)
• Case A: Real and distinct eigen values
• Case B: Complex eigen values
• Case C: Real and repeated eigen values

## Homework

Week 15 (Apr 19 - Apr 25)

No homework. We will start project Presentations.

Week 14 (Apr 12 - Apr 18) (Refer to the lecture notes posted above)

• Section 2.3 (Page 32): 1, 2, 3(a), 3(c).
• Section 2.4 (Page 36): 1, 3.
• Sections 2.1-2.4 (Page 37): 5, 9, 11, 14 (Note that we have solved exercise 14 completly in two lectures.)

Week 13 (Apr 5 - Apr 11) (Refer to the lecture notes posted above)

• Section 1.2 (Page 11): 1, 3, 5, 10, 13.
• Section 1.3 (Page 15): 1, 3, 6.
• Section 2.1 (Page 25): 1, 2, 7, 10.
• Section 2.2 (Page 29): 2(a), 3(a), 5.

Week 12 (Mar 29 - Apr 4)

• Submit your project proposals by the end of the week.
• Read the first 3 sections of the MIT PDE notes. (See link above.)
• Solve the exercises given in class.

Week 11 (Ma 22 - Mar 28)

Second class test week. No homework.

Week 10 (Mar 15 - Mar 21)

• Section 6.5: 1, 3, 5, 7, 15, 17, 23, 24.
• Section 6.6: 1, 2, 5, 7, 14, 15.
• Section 6.7: 1, 3, 5, 8

Week 9 (Mar 8 - Mar 14)

Spring Break

Week 8 (Mar 1 - Mar 7)

• Section 6.3: 1, 3, 5, 9, 14, 16, 19, 21.
• Section 6.4: 1, 3, 5, 10, 12, 15.

Week 7 (Feb 22 - 28)

• Section 6.1: 1, 2, 4, 5, 7, 9, 13 (a), 13 (b), 13 (c).
• Section 6.2: 1, 3, 5, 7, 9, 11, 13, 15, 17.

Week 6 (Feb 15 - Feb 21)

CLASS TEST 1, Review week, no homework.

Week 5 (Feb 8 - 14)

• Section 5.8: 1, 2, 3, 7, 9, 11, 13 (a), 13(b), 15, 17, 31 (Highly recommended).

Week 4 (Feb 1 - 7)

• Section 5.6: 1, 2, 3, 7, 11, 14, plus try out a couple of problems between 16 - 23 using maple which ever you find interesting.
• Section 5.7: We will skip this for now.

Week 3 (Jan 25 - 31)

• Section 5.4: 1, 3, 5, 7, 12, 14, 15, 20, 22.
• Section 5.5: 1, 3, 5, 9, 11, 13, 19, 23.

Week 2 (Jan 18 - 24)

• Section 5.1: 37
• Section 5.3: 1, 5, 8, 9, 11, 13, 21, 25.
• Section 5.4: 1, 3, 5, 7, 12, 14, 15, 20, 22.

Week 1 (Jan 11 - 17)

• Section 5.1: 1, 5, 7, 13, 15, 18, 25, 36
• Section 5.2: 1, 3, 5, 11, 13, 15, 25, 28(a).