Time Schedule:
Carl T Bergstrom
BIOL 429
Seattle Campus
Explores use of models in biology in a wide range of topics, including morphogenesis, nerve signals, ecological interactions, population biology, and evolutionary theory. Emphasis on the biological insights models can provide rather than mathematical techniques. Prerequisite: either MATH 146, MATH 390, MATH 395, STAT 342, or STAT 391.
Class description
This description is for Winter 2008 only:
Information is a central organizing concept in the study of biology; Shannon's information theory provides a valuable set of tools for understanding how information operates in biological system. This quarter we will develop the mathematical foundations necessary to understand and use information theory in biological applications ranging from neurobiology to evolutionary theory.
This quarter we will focus on the mathematical machinery that we need to model such processes: the mathematics of stochastic processes. Topics include Markov chains , birth-death processes, branching processes, poisson processes, Brownian motion, renewal processes, and Ornstein-Uhlenbeck processes.
Student learning goals
General method of instruction
Lecture
Recommended preparation
Prerequisites:
1) College calculus: MATH 124-126 or MATH 134-136 or MATH 144-146. 2) Probability theory: MATH 390 or MATH 394-395 or MATH 144-145 or STAT 341-342 or STAT 391
Class assignments and grading
Problem sets
Problem sets, exams