Math 246 MatLab Projects, Spring 2009
(8 April version)
There are 6 MatLab projects worth 25 points each. These are
given below, but are subject to changes announced either here or in
class. All count toward your course grade.
When and Where to Turn in Your Projects. Each Project
assignment should be turned-in to your discussion section instructor
no later than its due date by either:
- bringing it to the discussion section,
- bringing it to their office during an office hour,
- make other arrangements directly with your discussion section
instructor.
If the University cancels class for any reason on the scheduled
due date of a project then that project will be due on the first day
that the large lecture subsequently meets. Projects turned in
late will be recorded, but may not be graded for full credit.
How Each Project Should Look. You should submit your
work by creating an "M" file, using individual cells in the "M" file
for each problem, and putting the problem number at the beginning
of the cell as a comment. You can split up a multi-part problem into
multiple cells, as long as they label each cell. Then you should use
the "publish to html" option to create a nice looking output and then
print the html file, which can be displayed by matlab or opened with
a web browser. Your answers should be presented in the order that
the problems are assigned. If you use more than one sheet of paper,
they should be stapled together. The top of the first page should
include: your name, course and section number, your discussion section
instructor's name, and the date the assignment is due.
MatLab Teams. Your discussion section instructor will
assign teams for projects B-F. Be sure you know who is on your team
for each project! Each team turns in one version of each project.
The names of every team member should be on each project. Each team
member is responsible for all the work turned in by the team. This
means that while you may have had prime responsiblity for part of the
project, you should be aware of how others on the team approached the
rest of the project. For starters, you should check that they did the
correct problem. You should then understand how they did it. If your
team is not working well, notify your discussion section instructor
right away!
Running MatLab from Off Campus. You can find tips on how
to run MatLab from off campus at
http://www.math.umd.edu/~jow/misc/matlab.html
MatLab Project Assignments
- Friday, 6 February
read Hunt, Lipsman, Osborn, and Rosenberg (HLOR) Chapters 1-4
do Problem Set A (pages 47-49) --- 2, 3ab, 5, 6ad, 7abc, 8ace, 9.
- Friday, 27 February
read HLOR Chapters 5 and 6
do Problem Set B (pages 75-85) --- 3, 5, 11, 17.
Those of you with MatLab 2008a or 2008b will not be able
to do problem 5 as described in the HLOR book
because MathWorks introduced a new symbolic engine with version 2008a.
They had been using Maple (supplied by an independent company),
but switched to MuPAD, who they recently bought out.
Check out their helpdesk at:
http://www.mathworks.com/access/helpdesk/help/toolbox/symbolic/rn/brqy13y-1.html
If you have this problem, just turn in problem 5 with the null
response that MatLab gave you.
- Friday, 13 March
read HLOR Chapters 7, 8, and 9
do Problem Set C (pages 131-138) --- 2, 4, 6, 10, 15.
For those of you with MatLab 2008a or 2008b "dsolve" will
not work for problem 2a as described in HLOR.
The solutions of the it should return are
phi_1(t) = 2/(1 - 2t) and phi_2(t) = (3 + e^{2t})/(3 - e^{2t}) .
Use these expressions to complete 2a.
- Friday, 10 April
read HLOR Chapter 10
do Problem Set D (pages 157-170) --- 3, 4, 5.
You can see how to reduce the ode45 error tolerances
for problem 3c in section 7.3 of HLOR on page 98.
- Friday, 17 April
read HLOR Chapter 12
do Problem Set E (pages 193-205) --- 12, 13abc.
Note that 12b should read y" + 2 y' + 2 y = 0
Note that 13a should read h(t) = u(t - pi) - u(t - 10)
- Friday, 8 May
read HLOR Chapters 13 and 14
do Problem Set F (pages 231-246) --- 1, 8, 9.