Ordinary Differential Equations
Math 520 (Honors) -- Fall 2006

Professor Doug Meade
meade@math.sc.edu
Department of Mathematics
University of South Carolina

Maple Worksheets

Date Created
 Filename
 Section
 Description
8 Sep 520-s1-3.mw 1.3
  • I added a few comments to this worksheet, and also added the work to find the maximum height. Once you think about this, it doesn't take any ``work''. (Compare this to what you would have to do to find the maximum height starting from the velocity and height as functions of time.)
  • If you want to get a copy of Maple for your personal use, please contact me for the details. (You need a purchase code to get the best price possible.)
11 Sep 520-s2-2.mw 2.2
  • This is the worksheet showing orthogonal families of curves. I modified it to automate the process of finding the differential equation satisfied by the original family of curves, and the orthogonal family of curves.
  • See if it works for other families of curves.
13 Sep 520-s2-3.mw 2.3
  • This worksheet illustrates the two special classes of first-order ODEs where the right-hand side of the ODE does not depend on one of the variables.
6 Oct 520-ex3-4-12.mw 3.4
  • This worksheet illustrates the solution to Exercise #12 in §3.4. This problem becomes a little involved because of the form of the characteristic values.
  • Think about what it means for a spring to tend towards its equilibrium position with and without passing through the equilibrium.
23 Oct 520-s4-3ex6.mw 4.3
  • This worksheet supports the discussion of Examples 6 and 7 in Section 4.3 of the text.
  • The important observations are the general forms of the images under the linear operators L1 and L2.
  • This worksheet can be used as a template for other problems that require finding the image of functions under a linear differential operator.
6 Nov 520-s6-1.mw 6.1
  • This worksheet supports the discussion of the Model Problem in Section 6.1 of the text.
  • This worksheet should be helpful when working on
  • This worksheet can be used as a template for other systems of first-order differential equations.
1 Dec 520-s6-7.mw 6.7
  • This worksheet provides three examples relevant to Section 6.7 of the text.
  • This worksheet can be used as a template for other systems of first-order differential equations.
1 Dec Lesson13.mw 6.7
1 Dec Lesson21.mw 6.7

Notes:

  • Maple worksheets (.mw files) should be downloaded to your local computer (I recommend creating a folder called, say, MapleFiles.)
  • Portable Document Format (PDF) files are viewable with acroread, a publicly available PDF viewer by Adobe.
  • PostScript (PS) files are viewable with ghostview, the public domain PS viewer.

    • If you have any questions, please send e-mail to meade@math.sc.edu
    Last modified: 23 October 2006