## Degree of M.S. in Mathematics

### Requirements

Information concerning the degree of MA can be found in the Graduate Program Rules (2011). The following is a brief summary of the degree requirements:

Candidates for the MA degree will be required to take at least 30 credits in courses: 12 credits for the core courses of the first year.

### Pure Mathematics Option

#### Total de Créditos 30

Course |
Title |
Crs. |

MATH 6201 | Modern Algebra | 3 |

MATH 6261 | Real Variables I | 3 |

MATH 6301 | Complex Variables | 3 |

MATH 6540 | Introduction to Topology | 3 |

MATH 6800 | Graduate Seminar | 3 |

MATH 6996 | Thesis | 3 |

Elective courses^{1} |
12 |

^{1}Electives must be chosen so as to complete a minimum of one of the following two-semester sequences: MATH 6201-6202, MATH 6261-6262, MATH 6540-6551. The remaining credits are taken in courses chosen under guidance.

### Applied Mathematics Option (30 credits)

#### Total de Créditos 30

Course |
Title |
Crs. |

MATH 6601 | Probability and Statistics I | 3 |

MATH 6681 | Data Structures I | 3 |

MATH 6680 | Computational Analysis | |

or MATH 6881 | Linear Programming | |

or MATH 6882 | Nonlinear Programming | 3 |

MATH 6700 | Projects in Applied Mathematics | 3 |

MATH 6996 | Thesis | 3 |

Elective courses^{1} |
15 |

^{1}Electives must be chosen so as to complete a minimum of one of the following two-semester sequences: MATH 66011-6602, MATH 6681-6682, MATH 6680-6681 or 6882. The remaining credits are taken in courses chosen under guidance.

### Masters Seminar

Beginning with the third year, MS students will be required to register in a master’s seminar. Students in the Pure Mathematics option must register in MATH 6800. Students in the Applied Mathematics option must register in MATH 6700.

### Qualifying Exams

Students must take written quafifying examinations.

The students interested in qualifying for the MS. degree have two options:

- They may take the same examinations as administered to PhD. students, and may receive a masters level pass (if unsuccessful at the doctoral level). These students have three consecutive opportunities to pass three exams at the

masters level. - They may take the masters qualifying examinations, that will test basic knowledge in several general areas determined by their chosen option:
- Pure Mathematics: (i) Algebra (MATH 6201); (ii) Real Analysis (MATH 6261) (iii) Complex Analysis (MATH 6301); (iv) Topology (MATH 6540).
- Applied Mathematics: Probability

and Statistics (MATH 6601 and MATH 6602);

(ii) Computationai Analysis I (MATH 6680), Linear Programming (MATH

6881), Optimization (MATH 6882)

(iii) Data Structures I (MATH 668l), Algorithms (MATH 6682)

The qualifying examinations will be offered twice yearly. Regular students in

The MS program must take the examinations as soon as possible and no later than the fouxth Semester of graduate studies.

Students must confirm their request to take the exams at the

Graduate Program Office on or before the official deadline.

Exams will not be offered in a subject area for which no

petitions are registered by the above deadline.

#### MA Degree – Syllabi and Old exams

Detailed syllabi may be requested in the Office of Graduate Studies of the Department of Mathematics.