Program Statistics
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Engineering Sciences and Applied Mathematics
Degree Types: PhD, MS
The program in Engineering Science and Applied Mathematics educates students in mathematical methods and their application to various scientific and engineering fields.
Our program emphasizes techniques associated with asymptotic analysis, bifurcation theory, dynamical systems, numerical analysis, ordinary and partial differential equations, singular perturbations, stability theory, and stochastic processes. These techniques are employed to address problems arising in science and engineering including fluid mechanics, microbiology, neurobiology, ecology, geophysics, materials, diffusion processes, fiber optics, interfacial phenomena, pattern formation, solid mechanics, solidification theory, wave phenomena, and social sciences.
Students are given broad-based training encompassing mathematical methods and fields of science or engineering where significant applications of mathematics are made.
Additional resources:
Program Contact
Contact Ted Shaeffer
Program Assistant
847-491-3345
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Degree Requirements
The following requirements are in addition to, or further elaborate upon, those requirements outlined in The Graduate School Policy Guide.
PhD
Total Units Required: 18
| Course | Title |
|---|---|
| ES_APPM 411-1 | Differential Equations of Mathematical Physics |
| ES_APPM 411-2 | Differential Equations of Mathematical Physics |
| ES_APPM 420-1 | Asymptotic and Perturbation Methods in Applied Mathematics |
| ES_APPM 421-1 | Models in Applied Mathematics |
| ES_APPM 446-1 | Numerical Solution of Partial Differential Equations |
| GEN_ENG 519-0 | Responsible Conduct for Research Training |
| Electives (approved; 13 units) Up to 3 units may be taken outside of ES_APPM | |
Other PhD Degree Requirements
- Examinations: written preliminary examinations in differential equations, advanced calculus, complex variables and linear algebra; oral qualifying examination for admission to candidacy
- English Language Proficiency: meet The Graduate School's spoken English proficiency requirement to be a teaching assistant
- PhD Dissertation: original research, defended before student's doctoral committee
- Final Evaluations: oral presentation and faculty evaluation when all other requirements complete