Engineering Sciences and Applied Mathematics MS

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: 12

Course List
Course	Title
ES_APPM 311-0	Methods of Applied Mathematics
or ES_APPM 411-1	Differential Equations of Mathematical Physics
ES_APPM 420-1	Asymptotic and Perturbation Methods in Applied Mathematics
ES_APPM 446-1	Numerical Solution of Partial Differential Equations
1 unit from this list:
ES_APPM 312-0	Complex Variables
ES_APPM 322-0	Applied Dynamical Systems
ES_APPM 345-0	Applied Linear Algebra
ES_APPM 411-1	Differential Equations of Mathematical Physics ^{Only if ES_APPM 311-0 is used above as a core requirement.}
ES_APPM 411-2	Differential Equations of Mathematical Physics
ES_APPM 412-0	Methods of Nonlinear Analysis
ES_APPM 420-2	Asymptotic and Perturbation Methods in Applied Mathematics
ES_APPM 429-0	Hydrodynamic Stability Theory
ES_APPM 440-0	Integral Equations & Applications
ES_APPM 442-0	Stochastic Differential Equations
2 units from this list:
ES_APPM 444-0	High Performance Scientific Computing
ES_APPM 445-0	Iterative Methods for Elliptic Equations
ES_APPM 446-2	Numerical Solution of Partial Differential Equations
ES_APPM 447-0	Boundary Integral Method
ES_APPM 448-0	Numerical Methods for Random Processes
ES_APPM 449-0	Numerical Methods for Moving Interfaces
Mathematical Modeling Electives (approved; 3 units)
Mathematical Content Electives (approved; 3 units)

Mathematical Content Electives Theme: Courses selected to complete the Mathematical Content Electives must have mathematically focused content related by a defined theme chosen by the student.
Mathematical Modeling Electives Theme: Courses selected to complete the Mathematical Modeling Electives must be application areas that use mathematical methods and be related by a defined theme chosen by the student.
At least three of the six courses used to satisfy the mathematical content and mathematical modeling themes must be at the 400/500 level.
Master's Thesis (optional): Up to two units of the Mathematical Modeling Electives Theme may be replaced with ES_APPM 590-0 Research for work culminating in a Master's thesis consisting of original research and approved by a thesis committee.