Master Scienes in

Ph. D. in

Applied Mathematics Program

Applied mathematics involves applications of mathematical methods and techniques to explore, and describe behavior of scientific, industrial, and engineering phenomena. The applied mathematics program is interdisciplinary in spirit. It is based on principles of mathematical continuous modeling, computer simulation, linear programming, optimization, operations research, bioinformatics, numerical methods, etc. The applied mathematics program appeals to individuals who are interested in applying their mathematical interests and skills to real-world problems. Applicants should have an undergraduate degree in Mathematics or its equivalent. Candidates are expected to have approved undergraduate courses in Multivariable calculus, Linear Algebra, Ordinary Differential Equations, Numerical Analysis and Advanced Calculus. It is also recommended to have some programming experience using a high level language such as C\C++, and/or a mathematical package such as Matlab and Mathematica.
In addition to the requirements of the Office of Graduate Studies, the Master of Science degree in Pure Mathematics, has three options of study, thesis (Plan I), project (Plan II), and thesis or project (Plan III).

Plan 1

9 credits in core courses

Course Code Course Name
MATE 6261 Real Analysis
MATE 6672 Numerical Mathematical Analysis
MATE 6677 Partial Differential Equations

9 credits from the following (area of specialization)

Course Code Course Name
MATE 5016 Game Theory
MATE 5047 Intermediate Differential Equations
MATE 5049 Calculus of Variations
MATE 5055 Vector Analysis
MATE 5056 Tensor Analysis
MATE 5150 Linear Algebra
MATE 6025 Numerical Linear Algebra
MATE 6026 Numerical Optimization
MATE 6035 Topics in Operation Research I
MATE 6036 Topics in Operations Research II
MATE 6045 Optimization Theory
MATE 6262 Real Variable II
MATE 6301 Complex Variable
MATE 6530 Differential Geometry
MATE 6622 Topics in Complex Variable
MATE 6627 Topics in Analysis I
MATE 6628 Topics in Analysis II
MATE 6674 Numerical Methods for PDEs
MATE 6675 Mathematics in Modern Science I
MATE 6676 Mathematics in Modern Science II
MATE 6678 Topics in Partial Differential Equations

6 credits outside the area of specialization or major

The requirement of a minimum of two out-of-discipline courses is to ensure cross-disciplinary breadth. The courses must be related to mathematics and should be chosen in a coherent way. These should be of level 5000 or higher. It is recommended that student choose these courses with the help of their advisor.

6000 or 5000 level courses not listed in the area of specialization.
6000 or 5000 level courses outside the math department.

2 credits in Seminar

Course Code Course Name
MATE 6991 Seminar I
MATE 6992 Seminar II

6 credits in Thesis

Course Code Course Name
MATE 6999 Thesis

Plan 2

Project option: the course and examination requirements are similar to Option I, however the 6 Thesis credits must be replaced by 6 Project credits. An oral examination on the project is also required.

Plan 3

No project, no thesis: the student should approve a minimum of 36 course credits:

A minimum of 27 credits at graduate level
A minimum of 21 credits in the major field
A minimum of 6 credits in courses related to, but outside the area of specialization.