To concentrate on the formulation and derivation of mathematical models of continuous dynamical
systems and to analyze their simulation by means of analog and digital computers.
* This is an undergraduate course that can be taken for graduate credit.
Definition of continuous and discrete systems.
Differential equations and their role in modeling.
Numerical methods, integration algorithms, the CSMP language, error propagation.
Examples of continuous and discrete dynamic processes in physics. environment, urban studies, genetics, engineering and industrial dynamics
Homework and assigned computer programs are designed to give students a feel for the derivation of differential equations describing dynamical phenomena, the evaluation or measurement of parameters, and the methods of computer simulation.
- will be prepared to contribute to a rapidly changing field by acquiring a thorough grounding in the core principles and foundations of computer science (e.g., techniques of program design, creation, and testing; key aspects of computer hardware; algorithmic principles).
- will acquire a deeper understanding on (elective) topics of more specialized interest, and be able to critically review, assess, and communicate current developments in the field.
- will be prepared for the next step in their careers, for example, by having done a research project (for those headed to graduate school), a programming project (for those going into the software industry), or some sort of business plan (for those going into startups).