An independent study course. We covered roughly the first 12 of Dan Spielman's course notes, some functional analysis (Laplacian ↔ Dirichlet form ↔ semigroup, connection to Markov chains), and Doyle and Snell's "Random walks and electric networks".
Some of the materials I've used in teaching this course have been adapted in the current iteration of MATH 3160. See the UConn Undergraduate Probability OER.
I taught the Honors version of MATH 3160 (to be renamed MATH 3165 in 2017) in Spring 2015 and Fall 2015.
For a history of Honors probability at UConn, see my report [pdf].
Tom Roby and I recorded Lightboard video lectures for MATH 3160 in Fall 2015, with the assistance of the Center for Excellence in Teaching & Learning. UConn affiliates can access the video catalog using their NetIDs and passwords. If you are not a UConn affiliate and wish to access the videos, please contact me or Tom.