Undergraduate probability

• MATH 170A & B -- undergraduate probability. Covers basic concepts of discrete and continuous probability culminating with (simplified) versions of the basic limit laws. We recently changed to Stirzaker's book.
• MATH 171 -- undergraduate course on (discrete-time) stochastic processes building upon the 170AB courses.

Graduate probability

• MATH 275ABC -- our principal graduate probability sequence. The A-part is devoted to the principal setup of probability theory, independence, convergence of random variables, laws of large numbers, central limit theorem. The B-part is devoted to basic examples of dependent random variables: Markov chains (including random walks) and Martingales. The C-part deals with basic ergodic theory and introduces Brownian motion and stochastic processes.
• MATH 275D -- graduate course on Stochastic Calculus (offered roughly every other year).
• MATH 275E -- a topical graduate course on Stochastic Particle Systems or Percolation (offered roughly every other year).

Topics courses & seminars

• MATH 285k -- a topical course devoted to various subjects of interest. Last three courses taught under this banner were
  • Statistical Mechanics of the Ising Model
  • Mean-Field Models of Spin Glasses
  • Random Walk in Random Environment
• MATH 290k -- current-literature seminar. Students give two-hour presentations on recent papers under the supervision of the faculty. In the past, we've had 290's on
  • Path Properties of Brownian Motion
  • Domino Tilings
• MATH 296k -- our research probability seminar. Follow this link for the current-quarter schedule.