Linear Algebra and Differential Equations

Math 2243, Fall '02

Last changed: Dec 24, 2002.

This course, Linear Algebra and Differential Equations,
covers basic Ordinary Differential Equations and basic Linear Algebra.
See the syllabus for more information (link below, to a PDF document).

The course meets 5 times a week:
2:30-3:20pm MWF, MoosT 2-690, for Lectures, and at
2:30pm or 3:35pm TuTh for Discussion Sessions:
At 2:30 TuTh: Sec. 031: 1701 Univ, 14; Sec. 032: FolH 214;
At 3:35 TuTh: Sec. 033: EddyH 102.

Office Hours: 1 - 2pm, MWF or by appointment -- or call 5-3855 to see if I'm in and available, especially before class.

You can ask questions by email too: jodeit@math.umn.edu
Please, send me messages in TEXT mode only! Also, here is a Web link to a list of special codes for math symbols (most of them start with the \ character).

TEXT: (ISBN 0-13-263757-X)
Differential equations and Linear Algebra,
by Stephen Goode, 2nd ed., Prentice-Hall, 2000.

Announcements, hints, "news" will be here.

NEWS Dec 24: A link to a report on the Final is below.

NEWS Dec 23:
> 140 or more on the Final is A
> 120 or more on the Final is B
> 100 or more on the Final is C
> 80 or more on the Final is D
Beginning Dec. 26, check this space for details
about what was done to equalize the Final for those who
did not take the Final at 1701 University.

NEWS Dec 13: Suggested problems to do from Chapter 5
have been added to the list below.

NEWS Dec 12: Suggested problems to do from Chapters 1 - 4
have been added to the list below.

NEWS Dec 9: Suggested problems to do from 8.11 and 8.12
are listed below.

NEWS Dec 7: A suggested list of problems to do from 8.6 and 8.7,
to prepare for the Final, is below.
More will follow, from 8.11 and 8.12,
then lists from earlier chapters. The lists are only suggestive!

If you have two Math Finals on Dec 16, go soon to
Vincent Hall 115 to sign up for the special setup
they have for you. If you have THREE math Finals that day,
see me soon!

NEWS Dec 4: Link below to Final Exam Cover Page.

NEWS Dec 1: Solution keys for Test 3, link below.
The questions will be put in later!
I still do not know when you should go to VinH 115
to sign up for taking two Finals on Dec 16!

NEWS Nov 22: Gradelines for Test 3, and some early information
about time and location for the Final Exam.

Old News.

A list of problems suggested as practice for the Final:

8.6: 1 - 9 (odd) and 2.

8.7: 1 - 6. Do #9 "in your head."

8.11: 1 - 3, and 5, chosen randomly, from 4 - 18 (except #14, which was done in class).

8.12: 1 - 9.

Remarks: MWF we will cover 8.11 and 8.12. You might want to
review section 1.3! Also, it would help you to read 8.11
and 8.12 again a few times. The IDEAS that are there are what you
might need to know later; then you'll remember where to look.

More problems to use for review:
1.1: 7 - 16.
1.2: 6 - 20, 25
1.3: read the section; 15 (once-over), 17 - 24 (some).
1.4: 1 - 11 (some), 18.
1.5: 1 - 8.
1.6: 1 - 14 (some).
1.7: 1 - 8.
Note: We did not cover 1.8 - 1.13. A glance at these sections
might be a good idea, because they might be useful to you later.
Sec. 1.13, especially, might be good as a different "take" on 8.11
and 8.12.
2.1: All. By now, these should be easy!
2.3: 1 - 12.
2.4: 1 - 19.
2.5: 1 - 11 (some).
2.7: None, but you might want to glance at this section
for a different "take" on 8.7.
3.1: All. By now, these should be easy!
3.2: 1 - 20 (some, and again, some).
3.3: Look at all, to see if you need to do any for review.
3.4: 1 - 8 (look at); 9 - 25. 3.5: At least one from each "block" of problems.
3.6: 1 - 22 (but work the ones you choose in your own way).
4.4: 1 - 12 (some).
5.1: All. By now, these should be easy!
5.2: 1 - 7, 9 - 14 (read them and do them in your head).
5.3: 3 - 24 (several!).
5.4: 4 - 10, 13 - 18.
5.5: Do as many as you need to from 1 - 32, and two from 33 - 37.
5.6: 1 - 22, and read the others quickly.

Here are the gradelines for Test 3:

The gradelines for
Test 3 are:
A, 70 or more;
B, 56 or more;
C, 38 or more;
D, 29 or more.

Final Exam Information The Final Exam will be
Monday, December 16, 1:30pm - 4:30pm,
at 1701 University, room 143.

Some of you are taking two Mathematics
courses that have their Final Exams on
Monday, December 16, 1:30pm - 4:30pm.
If you are one of these, you will take
both of these Final Exams on Monday
December 16. One Exam will be taken in the
morning, the other in the afternoon.
You will be able to choose the order of
these Exams and get more details when you
go to VinH 115 to sign up.

They are ready now in VinH 115 for you to sign up!

Links, if any, to other Web pages pages related to this course will go here.

A Mathematica Notebook, "MatrixAlgebra.nb"

The following are PDF files (you need Adobe Acrobat Reader to view them).
Follow this link to download the latest Acrobat Reader from Adobe at no charge.
"Express" URL

Final Exam Report.

Final Exam Cover Page.

Practice Test 3.

Practice Test 2.

A chatty note on Systems of Linear Equations.

Test 3: Solution keys.

Test 2: Solutions.

Test 1: Solutions.

Practice Test 1.

Trial Solutions Using Leibniz' Rule.

Math 2243, F '02, Syllabus.