Please see the current semester's course page for syllabus.
Models for biological processes based on discrete mathematics (graphs, combinatorics) and probabilistics and optimization methods, such as Markov chains and Markov fields, Monte-Carlo simulation, maximum-likelihood estimation, entropy and information. Applications selected from epidemiology, inheritance and genetic drift, combinatorics and sequence alignment of nucleic acids, energy optimization in protein structure prediction, topology of biological molecules.
The prerequisites are Linear Algebra, Math 640:250, Calculus III, Math 640:251, and Probability, either Math 640:477 or Comp. Sci. 198:206 or Statistics 960:381).
The course text is available online. This text is free.
- Spring 2010. Prof. Ocone
- Spring 2009. Prof. Ocone
- Spring 2008. Prof. Sontag
- Spring 2007. Prof. Ocone
- Spring 2006. Prof. Ocone
- Spring 2005. Prof. Sontag
- Spring 2004. Prof. Ocone
- Spring 2003. Prof. Ocone
- Spring 2002. Prof. Sontag
- Spring 2001. (Old version, see 336) Profs. Sontag, Sussmann