Course Information
Syllabus
Computer programs
R code
For Thursday, October 4:
Review the list of research ideas and look up some basic information
about a couple that you are curious about.
Research ideas
For Tuesday, September 25:
Find the mathematical expectation of the number of people alive as
a function of time in the following two cases, and compare with some
method you found to simulate (you can of course start with the program
posted in the Rcode directory). Can you find the average and median
time to death in each case?
The death rate is delta1 for t less than Ts and delta2 for t
greater than Ts.
The death rate is delta0 * t (that's multiplied by t).
Think about how you would simulate a stochastic epidemic to see how
many people survive.
For Tuesday, September 4:
Read the first two chapters of "How the Immune System Works" (on reserve
and also some sort of ebook).
Challenges for Thursday, August 30:
Extend the Euler's method program (in the above R code link) to include
susceptibles, and see if everybody survives. Experiment with different
values of the initial population size.
Use the method of separation of variables to solve the equations,
sort of. What does the solution tell you? Is it more than a
mathematical amusement?
IMPORTANT NOTES:
Instead of having formal office hours, I'll be available in my
math office (LCB 304) both before and after class, or by appointment.
