INSTRUCTOR:
Prof. Andrew Knyazev
Office: CU (Dravo Bldg) 644. Phone: (303) 556-8102.
Office hours: Thursday 2-3:30 pm, or by appointment.
WWW: http://www-math.cudenver.edu/~aknyazev
TEXTBOOK:
W. Kohler & L. Johnson, Elementary Differential Equations,
Addison Wesley, 2003, plus
MyMathLab Student Starter Package.
The project makes 20% extra credit of the class grade.
Project desription:
- In MATLAB, locate and run the code
ballode.m. It will generate a figure that you need
to save as a picture in any appropriate graphic format, e.g. jpeg or png.
- Locate and edit the source
ballode.m in order to change the initial speed attenuation of the ball is after each bounce from 0.9 to 0.5. Save
the modified source and run the code again. It will generate another figure that you need to save.
- Explain the difference between the figures.
- Study the code and write down the differential equation being solved
between the ball bounces. Hints: read "help ode23" and
analyse the body of the function dydt = f(t,y).
- Determine the type
(linear or nonlinear, scalar or a system) and the order
(first, second or higher) of this
differential equation.
- Find a general solution to this equation with a pencil.
- Highlight the similarities and the dissimilarities between
the model used in the code and in the Example 1 on p. 2 of the textbook.
Does the material of Section 6.2 have anything in common with the
model used in the code?
- Prepare the project report in the format described below:
The project report must be a web page posted on a web server of your choice.
I suggest using as samples student reports from my
NAI class in 2002
(near the bottom of the page),
for example, the report by
Gurgel.
When the report is completed, just send me a email
with the web link and a subject line indicating that this is a report link for NAI.
It's your responsibility to check that your web report is not broken and all the links
(if you have them) and pictures there are actually present.
- The project report can be graded any time between
your email submission and the end of the semester. Please do not
erase the project report untill you get a grade for it from me.
Here is a
sample student project report.
Here is another sample student project report.