Math 3215, Prob and Stats, Fall 2011

Click here for a copy
of the syllabus.

I thought I would start by mentioning to you a few
interesting links: first, click here
for some advice for those planning on attending grad school in mathematics; second, here is an interesting video about how ``algorithms shape our world''; third, here is an inspiring little film about the mathematician Julia Robinson; here is an amusing little TEDxObserver talk by Cedric Villani; lastly, here is a nice article about how computational complexity, a branch of mathmeatics (and CS), will affect philosophy in coming decades.
Homework 1 (due Wednesday, September 7 at the end of class ):

Click here for the first part of the first HW.

Click here for the second part of the first HW.
Homework 2 (due Friday, September 23):

Click here for an article on drug testing in sports.

Click here for a summary of a Nature article on the same thing.

Finally, click here for an article on the misuse of math in court cases.

Click here for a copy of the first
part of HW 2.

Click here for the second part of HW 2.
Homework 3 (due Monday, October 10):

Click here for discussion of how the Poisson Distribution
comes up in the detection of exoplanets.


Page 6667, #2.12, #2.110.

Page 7375, #2.214.

Page 87, #2.39.

Page 98, #2.413.

Page 124, #2.620.

Click here for the solution
to the terrorist/liedetector problem.



Click here for a sample of an
old Math 3770 exam, which should look similar to yours (except slightly
different material).
Homework 4 (due Friday, November 4).

Page 151153, #3.21, #3.27.

Page 159162, #3.33.

Page 169170, #3.41, #3.46.

Page 181182, #3.58.

Page 206207, #4.11, #4.14, #4.111.

In addition to those problems, do THESE .

Here's that Francis Galton quote I told you about, concerning
the Central Limit Theorem: ``I know of scarcely anything so apt to impress the imagination as the wonderful form of cosmic order expressed by the law of frequency of error. The law would have been personified by the Greeks if they had known of it. It reigns with serenity and complete selfeffacement amidst the wildest confusion. The larger the mob, the greater the apparent anarchy, the more perfect is its sway. It is the supreme law of unreason.''


And click HERE for an
article by Terry Tao on universal laws of statistics, of which the
Central Limit Theorem is one of the bestknown examples.

Homework 5 (due Wednesday, November 30).

Click HERE for a pdf file of
the HW.

For a note on confidence intervals and statistical sample,
click HERE .

.

For a note on Maximum Likelihood Estimators, click
here .


Click here for a study
sheet for midterm 2.
Click here and
here for some notes on
Markov chains and processes.
Click here for a
classic article on Hidden Markov Models.
Click here for HOMEWORK #6. I will
not collect this homework. I am putting it up here for your benefit,
to use to study for the final exam.
For the final exam, know all the material in the two study sheets above,
as well as all the material on hypothesis testing, maximum likelihood
estimators, minimum variance estimators. Be able to use all the different
pdf's we have encountered. Also, just to remind you: YOU ARE ALLOWED A
FORMULA SHEET FOR THE FINAL. This sheet should not include definitions 
only formulas.