Introduction to Ordinary Differential Equations
Math 331, Fall 2005

Instructor:  Dr. Alexandros Sopasakis Teaching Assistant :
  Mike Diehl
Office hours : Th 4:00-5:30, F 3:00-4:30 Office hours :  Tue. 12:45-2:15 in LGRT 123
 Wed. 1:30-3:00 in LGRC A301
Office : LGRT 1426 Office :  LGRT 1323H
phone : 413 - 545 0823 phone :
  413 - 545 1855
email : sopas@math.umass.edu email :
  diehl@math.umass.edu
Daily Schedule
(Blue background denotes exam dates)
Tuesday

Thursday

Sept. 6

Sept. 8
Introduction & Classification
1.3, 1.4 and 2.2
HW #1:  Due: Tues. Sept. 13
1.3: 1,2,3,4,5,6,7,8,9,14,17,22,23,28.
2.2: 1, 3, 7, 9, 11, 23.

Sept. 13

Collect
HW #1
First order ODEs
2.1, 2.6
HW #2: Due: Tues. Sept. 20
2.1: 1, 5, 9, 15, 28.
2.6: 1,3,6,9,11,12,15,18,21,25,27,29
Sept. 15
 Applications for 1st order ODEs
2.3
HW #2: Due: Tues. Sept. 20
2.3: 1,3,4,7,12,13,20,22,23,29

Sept. 20

Collect
HW #2
 Theory on first order ODEs
2.4, 2.5
HW #3: Due: Tues. Sept 27
2.4: 1,3,6,7,9,12,24,25,28,29
2.5: 1,3,4,8,9,11,13,22
(Last day to Drop)
Sept. 22
Homogenious second order ODEs
3.1, 3.4, 3.5 & 2.9(HW only)
HW #3: Due: Tues. Sept. 27
2.9: 36,40,42,44,48,51
3.1: 7,10,15
3.4: 9,11,17,22
3.5: 4,5,11,13

Sept. 27

Collect
HW #3
 Second order ODEs
3.2, 3.6
HW #4: Due Tues. Oct. 4
3.2: 7,9,11,16,17,19,21,23,25
3.6: 3,7,12,13,17,18
Sept. 29
 Non-homo Second order ODEs
3.7, 3.8
HW #4: Due Tues. Oct. 4
3.7: 1,5,7,13,15,17,18
3.8: 6,7

Oct. 4

Collect
HW #4
 Higher Order ODEs
3.9, 4.1, 4.2
HW #5: Due Tues. Oct. 11
3.8: 8,11,12
3.9: 5,6,12,16
4.1: 2, 3
4.2: 11,14,18,29
4.3: 3,9

Oct. 6
 Higher Order ODEs
4.3

Review for Exam 1

Oct. 11

Collect
HW #5
 Exam 1 - In Class
Covers: All sections until sec. 4.3
Bring a pen and an 1-sided
handwritten page of notes
(no calculators allowed)
Oct. 13
 Series Solutions
5.1, 5.2
HW #6: Due Thur. Oct. 20
5.1: 1,3,8,9,12,13
5.2: 3,5,11

Oct. 18

 Series Solutions
5.2, 5.5
HW #6: Due Thur. Oct. 20
5.5: 1,7,11,16

Oct. 20

Collect
HW #6
 Series Solutions
5.3, 5.4, 5.6
HW #7: Due Thur. Oct. 27
5.3: 6,7
5.4: 5,10,13,14
5.6: 1,2,3,7

Oct. 25


 Laplace Transforms
6.1, 6.2
HW #7: Due Thur. Oct. 27  
6.1: 5,15,19

Oct. 27

Collect
HW #7
 Laplace Transforms
6.2, 6.3
HW #8: Due Thur. Nov. 3
6.2: 3,5,8,9,10,11,13,14,22
6.3: 9,10,15,17

Nov. 1


 Laplace Transforms
6.4, 6.5
HW #8: Due Thur. Nov. 3
6.4: 2,5,8
6.5: 5,9
Nov. 3

Collect
HW #8
 Laplace & Systems of ODEs
6.6, 7.1
HW #9: Due Thur. Nov. 10
6.5: 12
6.6: 6,7,10,11,20
7.1: 1,5,8,9,22

Nov. 8


 Algebra Review
7.2, 7.3, 7.5
HW #9: Due Thur. Nov. 10
7.5: 1,3

Nov. 10

Collect
HW #9
 Systems of ODEs
7.6, 7.7, 7.8
HW #10: Due Tues. Nov. 22
7.5: 5,11,15
7.6: 1,4,5,9
7.7: 1
7.8: 1,3,6,7,8

Nov. 15
Systems of ODEs
7.7, 7.9
HW #10: Due Tues. Nov. 22
7.7: 2,5,7,12
7.9: 1,2,3,6
Nov. 17


 Systems of ODEs
7.9
 Review for Exam 2



Nov. 22

Collect
HW #10
 Exam 2 - In Class
Covers: Series, Laplace & Systems
Bring pen and an 1-sided
handwritten page of notes
You may also use a
calculator if you like
Nov. 24
Happy Thanksgiving!

Nov. 29

 Numerical Methods
8.1, 8.2
Return Exam 2
HW #11: Due Tues. Dec. 6
8.1: 4 (only for t=.1), 5 (only for t=.1)
8.2: 1 (only for t=.1), 2 (only for t=.1)

Dec. 1
Numerical Methods
8.3, 8.6, 9.1
HW #11: Due Tues. Dec. 6
8.3: 3 (only for t=.1), 7 (only for t=.5)
8.6: 2 (only for t=.2)
9.1: 3abc, 6abc
(In part c do not draw the plots of x1 versus t.)

Dec. 6

Collect
HW #11
 Nonlinear ODEs
9.2, 9.3, 9.4
HW #12: Not Due.
9.3: 5,7,9
9.4: 2,3,5
Dec. 8
 Nonlinear ODEs
9.4



Review for Final Exam


Saturday Dec. 17,  4:00pm
at ECSC  0119
 F I N A L   E X A M
Covers Everything Done in Class
 Bring pen and a single two-sided
handwritten page of notes
You may also use a
calculator if you like

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As such any reproduction or any other use must by accompanied by an expressed written consent by the author.