Topics range from the subcellular level through the cellular level and the organ systems level to the level of the whole organism and to population dynamics and ecosystem analyses. Introduction to Numerical Analysis Basic numerical analysis. Topics include linear systems, eigenvalues and eigenvectors, nonlinear equations, interpolation and approximation, numerical integration, and optimization. A short introduction to Fortran is included, and Fortran is used in projects based on the course material. The numerical solution of ordinary differential equations, initial value and boundary value problems.
Students implement algorithms on computers.
Probabilistic models Methods of problem formulation and solution. Introduction to the theory of Markov chains, the probabilistic analog of a difference or differential equation. Birth-death statistical processes and their applications. Queuing, probabilistic service and waiting line theory. Sequential decision theory via the methods of dynamic programming.