For a copy of the course syllabus, click here

Click here for some notes.

Click here for some additional lecture notes (most of which I will not cover).

I have decided to add two office hours: Let's say Thursdays from 1:05-1:55, and Wednesdays from 2:05 - 2:55 (after class).

For a copy of the notes on the Lovasz Local Lemma, click here .

For a note on the ``Birthday problem'' about 23 people sharing a birthday, see this note .

Homework 1 (to be turned in Friday, Sept. 24)

• Click here for the first HW.

• *** Note: I HAVE CHANGED MY TUESDAY OFFICE HOUR TO THURSDAY (so that I can attend a seminar at UGA Tuesday afternoons). ***

• For a copy of lecture note 3, click here .

• For a link to the Banach-Tarski Paradox from class, click here .

• For a note on the ``two slips of paper'' puzzle from class today, click here .

Homework 2 (to be turned in with the exam Oct. 13).

• Click here for a copy of the second homework. *** the hw file is now complete ***

• Click here for a note on Bayesian Spam filtering from class today.

• Click here for some notes on random variables and probability density functions.

• Click here for some notes on Bernoulli and Binomial random variables.

• *** Your first medterm has been scheduled for Wednesday, October 13. ***

• Click here for a note on Poisson Processes.

• Click here for a note on the Poisson distribution and Poisson random variables (continues on from the previous note).

• *** Click here for a copy of the study sheet for the first midterm. ***

Homework 3 (due Monday, Nov. 8).

• Click here for lecture notes on the Erdos Multiplication Table Theorem, and Chebyshev's inequality and Markov's inequality.

• Click here for a note on some facts about the expectation operator.

• Click here for the new HW.

• Click here for notes on the chi-squared distribution.

• Click here for some notes on applications of the central limit theorem.

• Click here for the ``two portfolios'' example from class today.

Homework 4 (Wednesday, November 24 (turn in with midterm) ).

• Here are a few popular math articles related to statistics: Click here for a general-audience essay about ``Zipf's Law''; click here for an article on how the IRS uses Benford's Law to catch tax cheats. Click here for a general-audience essay about prime numbers and energy levels; and click here for a related article which appeared in the American Scientist. Click here for an journal publication about ``binocular rivalry'', consciousness and quantum formalism (Note: The article is not asserting that the mind arises from `quantum processes' -- it is only asserting that the same math used to describe quantum phenomena can be used to model the binocular rivalry phenomenon.). Click here for an article on ``Random Matrix Theory: a law that explains everything''. Click here for an article on ``The Biham-Middleton-Levine Traffic Model'', and the strange statistical distributions that arise in traffic jams. Finally, click here for an article on ``universality''.

• Click here for a note on confidence intervals for the mean and variance of a standard normal (and pay attention to the bit of history!).

• Click here for a copy of the fourth HW.

• Click here for a note on maximum likelihood estimates and least squares estimates.

• Click here for a note on the correlation coefficient.

• Click here for some advice for students planning on attending graduate school in mathematics.

• *** The day for your second miderm has been set for the Wednesday before Thanksgiving, November 24. ***

  *** Note: There was an error in the statement of hw 4, problem 1b. The V(X_bar) should have been E(X_bar^2). ***

  For a note on hypothesis testing, click here .

  Because I have been late in getting you a study sheet, I have decided to make the exam ``open note''; HOWEVER, you are only allowed to use the notes above starting from those using the ``Homework 3'' section heading, and continuing on down to the one on ``hypothesis testing''. Because I am allowing you to use notes, I will replace the ``definition question'' with a computation problem. You will have two proofs and three computations on this exam. You will be allowed a scientific calculator, but no programmable calculator.

  *** Note: I left off the sample standard deviation from probelm 5 in the hw (I miscopied the problem from the book I took it from). I have now added this to the hw4 above. ***

  Click here for a note on the Pagerank algorithm.

  Click here for a note on Hidden Markov Models.

  Click here for the first set on notes on Markov Chains.

  Click here for an example of an old Final Exam.

  Click here for some practice problems on Markov chains.

  Click here for a note on Markov Chains notes part 2.

  As promised, here is the reference to the probability book for the Brownian Motion material: Introduction to Probability Models, Eighth Edition, by Sheldon Moss.

  Click here for a study sheet for the final exam.