This program is designed to provide students with the opportunity to broaden and deepen their knowledge of mathematics with an emphasis on those areas that have been most important in science and engineering. The student will also examine, through seminars and case studies, examples of significant applications of mathematics to other areas. This expanded base of knowledge, together with extensive experience in problem solving should prepare the student for further studies leading to the Ph.D. degree or for immediate employment in many areas of industry and government.

To enter the program the student should have a Bachelor's degree in mathematics, or a related field, and have completed undergraduate courses in Linear Algebra and Differential Equations. Students without these prerequisites may take them without credit toward the M.S. degree. Partial tuition waivers may be available to qualified students.

**List of required courses:**

- One Analysis Course (Math 6050/6060/7210)
- One Statistics Course (Math 6020/6030/6040/7360 and 6370/7370)
- Math 7310-7320 Applied Mathematics I-II
- Math 7350 Scientific Computing I
- Math 7980 Reading and Research (3 credits - for those choosing the non-thesis option)

**List of optional courses:**

- Math 6020 Mathematical Statistics
- Math 6030 Stochastic Processes
- Math 6040 Linear Models
- Math 6050-6060 Real Analysis I-II
- Math 6210 Differential Geometry
- Math 6300 Complex Analysis
- Math 7210-7220 Analysis I-II
- Math 7530-7540 Partial Differential Equations I-II
- Math 7570-7580 Scientific Computing II-III
- Math 7730 Topics in Applied Mathematics
- Math 7740 Topics in Scientific Computing
- Math 7750 Topics in Partial Differential Equations

Math 798 consists of a semester-long project in differential equations, scientific computation, optimization, analytical methods, engineering or other topics in applied mathematics. The project must be under the supervision of a faculty member from the Mathematics Department.

#### Non-thesis option

**1. Ten courses (30 credits) at the 6000/7000 level.**

- All
**six** courses from the required list plus **four** additional courses from the optional list.
- Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.

**2. A four-hour written examination** to be taken upon completion of the course work, with topics drawn from differential equations, and scientific computation. The student is given two chances to pass this exam. The Ph.D. Qualifying examination in Applied Mathematics or Scientific Computation can be substituted for the Masters exam.

**3. A programming project** designed to demonstrate proficiency in one of MATLAB, Fortran, C, or C++.

#### Thesis option

**1. Eight courses (24 credits) at the 6000/7000 level.**

- The first
**five** courses from the required list plus **three** additional courses from the optional list.
- Other courses not listed may be substituted with the approval of the Graduate Studies Committee. Up to six credits may be transferred from other departments or institutions with the approval of the Graduate Studies Committee.

**2. A thesis** approved by the thesis committee consisting of a faculty member acting as advisor and two additional faculty. The thesis is typically much more substantial than the Math 798 project.

**3. A programming project** designed to demonstrate proficiency in one of MATLAB, Fortran, C, or C++.