CMSC 28501

Topics in Scientific Computing (GEOS 21000)

Prerequisites: Consent of instructor.

Catalog Description: Current topics in scientific computation.

Long Description: Course title for Autumn 2005: Differential equations and Dynamical Systems, Part 1

This course will provide an integrated introduction to simulation and analysis of dynamical systems, introducing the mathematical background necessary for understanding the behavior of time-evolving systems, the numerical techniques needed for simulating such systems, and the programming techniques necessary for flexible and accurate implementation of the numerical methods. The latter topic will be centered on teaching object-oriented methods for approaching scientific simulation problems using the Python programming language. No prior programming experience is presumed. Topics to be treated include: analysis of chaos in the logistic map; introduction to Python for scientific simulation; introduction to ordinary differential equations; elementary solution techniques; numerical methods for evaluating integrals; numerical methods for ordinary differential equations; introduction to asymptotic approximations and their various uses.

Instructors: Ray Pierrehumbert
Quarter offered: Autumn.
Last Verified by Sharon Salveter on 1 December, 2004.