Math 2373 Spring 2006
Welcome to the class web page. Most materials in this class are given out as hard copies in workshop on Tuesdays and Thursdays, but I'll place as much useful information here as I can.
Lost and Found!
7622 Complex Eigenvalues is missing from the AlphaPrint lecture notes. Copies of this section were handed out on Thursday in workshop, but they didn't make it to section 21 in time. You can download a copy here, but be forewarned: I don't have the original file, so I had to scan the pages in, which made for a largerthannormal PDF file. It's about 600kb long.
To get the file size below one megabyte I had to allow the scanner to do automatic text recognition. It seems to have done a good job, but let me know if you spot any typos.
Exam Information
The first exam is on Thursday, February 16th. Exams start at 5:30 and at about 6:35. Students at the early session aren't allowed to leave early, so if you take the exam at 5:30 and finish quickly, you'll have to sit quietly and wait until 6:30.
The second exam is on Thursday, March 23rd. Exams start at 5:30 and at about 6:35. Same rules apply as far as leaving early.
Study Guide for Exam 2 [pdf]
Locations for Exam 2. (Note the changes!).
 Lecture 10 (Miracle, 9:05am): Smith Hall 100
 Lecture 20 (Rogness, 2:30pm): Science Classroom Building 125
The third exam is on Thursday, April 27th. Exams start at 5:30 and at about 6:35. Same rules apply as far as leaving early. The locations are the same as for exam 2.
Study Guide for Exam 3 [pdf]
Review sheets will be handed out on Tuesday and Thursday in workshop. Your workshop leaders can also provide answers to the review problems.
Textbook and Syllabus
You are required to pick up the lecture notes for Math 2373 at Alpha Print in Dinkytown; there will be another packet to pick up later in the semester.
The lecture notes include the syllabus and all homework exercises.
Useful Links

Drawing a phase plane is one way to graph a system of autonomous differential equations. (Remember, autonomous means that t doesn't appear on the right hand side of the equations in the systems.) It's a higherdimensional equivalent to the phase lines we drew for a individual autonomous equations. It looks like we won't be spending much time on this in class, but for those of us (including me) who are more visual than computational, I'll try to spend a few minutes sketching the ideas. You can search online to find any number of applets to draw phase planes. Here's the applet used in class, with the teddy bear example.

This Resonance Applet lets you experiment with the different possibilities. To see "pure resonance" in action, change "Exciter Angular Frequency" to 3.16 rad/s.
 Here is the Slope Field applet used in the afternoon lecture. If you follow this link you may be asked whether to accept (or run) a certificate. It's only necessary to say yes if you plan to print pictures from the applet; if you say no, the applet will still function.
 Damped Spring Motion java applet. (Make sure to increase b in the applet if you want to see the damping effect.)
 St. Louis University has an excellent page about Success in
Mathematics. If you are concerned about our exams, I particularly
recommend the sections on studying
for and taking a
math test.
 Winter Olympics Special: Creating a luge ride with Mathematica. The article uses techniques like rotation matrices and parametric surfaces (from Math 2374) to show a luge ride. You can read an online version of the article or download a Mathematica notebook. (IT Computer Labs such as Lind 24 all have a copy of Mathematica.)
This page is http://www.math.umn.edu/~rogness/math2373/index.shtml and belongs to rogness@math.umn.edu The views and opinions expressed in this page are strictly those of the page author. The contents of this page have not been reviewed or approved by the University of Minnesota.
Many thanks to css/edge for a lot of the ideas used in the creation of this page.