Welcome, please note that the schedule and syllabus are linked just below.

The final exam is coming up soon, I offer several times for you to take the exam. Of course you may take it during the officially scheduled time or during the official time of the alternate section.

1.) December 11, 6-9pm, in Ha 207 [this is section 6 official time]

2.) December 14, 1-4pm, meet in Ha 209 [probably I'll move you to empty room]

3.) December 17, 1-4pm, meet in Ha 209 [probably I'll move you to empty room]

4.) December 18, 1-4pm, in Ha 113 [ this is section 4 official time]

For options 2,3 it would be best if you were there on time or a little early since there is a danger you'll not be able to find us once we move to another room.

Keep in mind if I said something that differs from this review in class then what I said in class wins. For example you need not worry about section 3.4 for test I. If in doubt ask.

Warning: while the content of the tests this semester will be very similar we will order the material differently. My plan is that the Laplace Transforms material goes to the end of the course. This means that test III of previous semesters will be like our test II and also the old test II will be like our test III. In part, I am doing this so that I can give several lectures that address the topics in the project. This will give you more time to understand the concepts in the Project ( do not put this Project off until the week before its due, it will be very obvious that you procrastinated, it requires some thought ). Also I suspect the qualitative material covered in the Project may bring some more context to what we do in Chapter 9. Finally Laplace transforms are more or less disconnected from the rest of the material so we could cover it at pretty much any point in the course. Other sections have in past semesters covered Chapter 7 to begin. I figure since it is fairly easy material its better suited towards the end of the course.

These solutions contain errors, if you think you found one send me an email with a clear exposition of what the error is and how to fix it and you'll earn a bonus point on some test, this also goes for the notes. Of course once I notify the class of the error you may no longer ask for that point. To start with check our page of known errors (errata page).

Lecture will often closely follow these notes. Your text covers most of what is in these notes, I add some material on the matrix exponential, the imaginary exponential and finally I add some comments to the energy analysis. Mostly the text has much more to say, Newton's Law of Cooling and the analysis of springs are much more verbose and detailed in your text and certainly worth reading if you're interested. I try to just stick to the math.

( Test I covers pages 1-39 and pages i-8i in my notes )

( Test II covers pages 72-123 in my notes )

( Test III covers pages 40-71 in my notes )

You have a 10 point project that requires you to use software (Maple, Matlab etc... your choice) to analyze certain ODEs. Both Maple (link to previous students battle with Maple provided here ) and Matlab (see "p plane" package will do just about everything) are capable of plotting excellent phase plane plots. We will use them to supplement our understanding. The energy analysis should be done in junction with a software package for full effect. You will complete a project worth 10pts which employs some software package to make nice phase plane plots, and the energy analysis which helps explain what those plots mean in terms of physical solutions. See the course schedule for more details.

******** HINTS ***** HINTS ******* HINTS *******

The following are tutorials created by your peers to help get you started on the software portion of the project. Of course my instructions should be followed, these are not meant to be complete guides on how to do the whole project, they are mostly on how to use pplane to plot the phase plane. You will need to use Maple or Matlab or something to create the plots that I ask for in PROBLEM ONE part d ). It think that sketching by hand is probably best for PROBLEM THREE part c and PROBLEM FOUR part c, although you might see a way to make it prettier once you get the idea.

I have gathered together some simple applications of Maple to aid you in completing your homework.Maple is not required for this course,but it might be helpful to use to check your answers (I also recommend the TI-89 as a supplement to brute force calculation, I'll allow you to use the calculator to check your work, but not to do the work.)

Hannah says do your homework early and ask good questions.

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Last Modified: 12-7-07