Engineering Sciences and Applied Mathematics PhD

Degree Requirements

The following requirements are in addition to, or further elaborate upon, those requirements outlined in The Graduate School Policy Guide.


Total Units Required: 18

Course Title
ES_APPM 411-1Differential Equations of Mathematical Physics
ES_APPM 411-2Differential Equations of Mathematical Physics
ES_APPM 411-3Differential Equations of Mathematical Physics
ES_APPM 412-0Methods of Nonlinear Analysis
ES_APPM 420-1Asymptotic and Perturbation Methods in Applied Mathematics
ES_APPM 420-2Asymptotic and Perturbation Methods in Applied Mathematics
ES_APPM 421-1Models in Applied Mathematics
ES_APPM 445-0Iterative Methods for Elliptic Equations
ES_APPM 446-1Numerical Solution of Partial Differential Equations
ES_APPM 448-0Numerical Methods for Random Processes
ES_APPM 444-0High Performance Scientific Computing
GEN_ENG 519-0Responsible Conduct for Research Training
Mathematical Modeling Electives (approved; 2 units)
General Electives (approved; 5 units)

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