2007 Spring MATH 229-01
Bulletin Course Description Formulation and analysis of mathematical models in science and engineering. Emphasis on case studies; may include individual or team research projects. Instructor: Staff
(Instructor named in bulletin description above may not be current. For current instructor, see listing below.)
Title MATHEMATICAL MODELING Department MATH Course Number 2007 Spring 229 Section Number 01 Primary Instructor Witelski,Thomas P Permission required? N Course Homepage www.math.duke.edu/~witelski/229/
Prerequisites
Undergraduate background in ordinary and partial differential equations and physics, or permission of instructor.
Synopsis of course content
This course will present a survey of mathematical models for problems in the applied sciences and engineering. The real-world problems, coming from areas like fluid dynamics, solid mechanics, electromagnetism, chemical reactions, and heat transfer, will be formulated as idealized mathematical models. Mathematical techniques, such as nondimensionalization, perturbation analysis, stability theory and simple numerical methods, will then be introduced to simplify the models and yield insight into the underlying problems.
Textbooks
Mathematical Models in the Applied Sciences, A. C. Fowler, Cambridge University Press (Required).
Mathematics applied to Deterministic Problems in the Natural Sciences, C.C. Lin and L. A. Segel, SIAM Press (Recommended).
Assignments
Weekly problem sets will be assigned.
Exams
No exams
Grade to be based on
The course grade will be based on the homework sets and possibly a final project.
