The midterm take-home exam was handed out in Lec #19, and was due in Lec #20.
Midterm Exam (PDF)
Spring 2005 Exams
The exam solutions were partially written by students who took this class and are used with their permission.
The Spring 2005 version of this class had two midterm exams.
|Exam 1 (PDF)||
Multivariate Normal Random Walk With Non-Identical Steps
Exact Solution For The Position PDF
Student Random Walk
Generalized Gram-Charlier Expansion With Fat Tails
Distribution Of The Largest Step Taken, Case Of Fat Tails And The Transition To Anomalous Scaling
|Chris Rycroft (PDF)|
|Exam 2 (PDF)||
Poisson-Boltzmann Equation, Debye-Huckel Linearization, Gouy-Chapman Solution
First Passage Of A Set Of Random Walkers
Survival Probability Near An Absorbing Wall, Levy-Smirnov Density, Minimum First Passage Time
Escape From A Symmetric Trap Mean First Passage Time, Kramers Escape Rate, Finite-Temperature Corrections By Saddle-Point Asymptotics