# Degree Programs

## Master of Science in Applied Mathematics

In order to enter a program leading to the degree Master of Science in Applied Mathematics, the prospective student is strongly advised to possess either a bachelor’s degree with a major in mathematics or a bachelor’s degree in another discipline with a strong mathematical orientation.

Any program that leads to the degree Master of Science in Applied Mathematics for a student who has met the entrance criteria must contain a minimum of 32 quarter-hours of graduate-level (3000-4000 numbered) courses with a minimum QPR of 3.0. The program specifications must be approved by both the department Chairman and the Academic Associate. The program is subject to the general conditions specified in the Academic Council Policy Manual as well as the following:

A student must complete or validate the four course 1000 level calculus sequence (MA1116 is optional for those in the discrete track) and the introductory courses in linear algebra and discrete mathematics.

The program must include at least 16 hours in 3000-level mathematics courses and 16 hours of approved 4000-level mathematics courses.

Courses in Ordinary Differential Equations (MA2121), Real Analysis (MA3607), and upper division Discrete Mathematics (MA3025) are specifically required, and those at the 3000 level or above may be applied toward the requirement above. The remaining two 3000 level courses should come from: linear algebra (either MA3042 or MA3046), partial differential equations (MA3132), numerical analysis (MA3232), and modern algebra (MA3560). Finally, students on the applied track are expected to take MA4322, and those following the discrete track must take MA4560 and MA4570.

Some typical course matrices are shown here:

## Quarter | ## Applied Track | ## Discrete Track | |||||||

| MA1113 | MA1114 | MA2025 | MA2043 | MA1113 | MA1114 | MA2025 | MA2043 | |

| MA1115 | MA1116 | MA2121 | MA3025 | MA1115 | MA1116 | MA2121 | MA3025 | |

| MA3046 | MA3232 | MA3560 | OA3201 | MA3046 | MA3232 | MA3560 | OA3201 | |

| OA3101 | MA4261 | MA3132 | Elective | OA3101 | MA4560 | MA3042 | Elective | |

| OA3102 | MA3607 | Elective | Elective | OA3102 | MA3607 | MA4560 | MA4400 | |

| OA3103 | MA4322 | Elective | Elective | OA3103 | MA4027 | OA 4202 | Elective | |

| MA4XXX | Elective | Elective | Thesis | MA4404 | Elective | Elective | Thesis | |

| Elective | Elective | Thesis | Thesis | Elective | Elective | Thesis | Thesis |

An acceptable thesis is required. The Department of Applied Mathematics permits any student pursuing a dual degree to write a single thesis meeting the requirements of both departments, subject to the approval of the Chairs and Academic Associates of both departments.

## Doctor of Philosophy in Applied Mathematics

The Department of Applied Mathematics offers the degree Doctor of Philosophy in Applied Mathematics. Areas of specialization will be determined by the department on a case by case basis. Requirements for the degree include course work followed by an examination in both major and minor fields of study, and research culminating in an approved dissertation. It may be possible for the dissertation research to be conducted off-campus in the candidate's sponsoring organization.

Entrance into the program will ordinarily require a master’s degree, although exceptionally well-prepared students with a bachelor’s degree in mathematics may be admitted. A preliminary examination may be required to show evidence of acceptability as a doctoral student. Prospective students are directed to contact the Chairman of the Applied Mathematics Department or the Academic Associate for further guidance.