# Mathematics (MA)

**Master of Arts in Mathematics (MATHMA)**

Unit: College of Arts and Sciences (GA)

Department: Mathematics

Program Webpage: math.louisville.edu/graduate/

## Program Information

The University of Louisville Department of Mathematics is a research-oriented department that prides itself on delivering first-rate graduate instruction. There is a broad range of courses and ample opportunities to interact with faculty. The Department also maintains an active colloquium series with talks given by visiting mathematicians, statisticians and scientists.

Appropriate preparation for a Master of Arts in Mathematics is undergraduate coursework equivalent to a major in mathematics from an accredited university. This should include a one-year course in either analysis or abstract algebra, equivalent to MATH 501-MATH 502 and MATH 521-MATH 522 at the University of Louisville. Candidates who have not taken both must complete them by the end of the second year of their MA program.

### Accelerated BA/BS-MA Option in Mathematics

Students must apply for admission to the program no later than the end of the junior year and must have completed MATH 205, MATH 206, MATH 301, and MATH 325, or equivalent courses, prior to application.

Applicants must have a minimum overall GPA of 3.5, and minimum GPA of 3.66 in mathematics courses. As part of the combined degree, students must complete MATH 405 and at least four (4) of the following: MATH 501, MATH 502, MATH 521, MATH 522, MATH 561, MATH 562, or MATH 581, including at least one sequence from among these courses.

The student may take a maximum of nine (9) credit hours for graduate credit, which will also apply to the requirements for the baccalaureate degree in Mathematics. All 600-level courses numbered 689 or below qualify, as do 500-level courses when completed in accord with the stipulations for graduate credit outlined in the syllabus.

## Admission Requirements

Apply online at this location: louisville.edu/graduate/apply

Complete applications require the following:

- Complete application form along with paid application fee.
- Cover letter to math department including any information you believe will help process your application.
, for example.**Please indicate in this letter whether you are interested in a GTA position** - Transcripts (an official copy for each undergraduate institution attended. UofL transcripts are automatically submitted).
- Letters of recommendation (at least two, preferably three).
(within three years) GRE scores (only the general exam is required).*Recent*- All applicants for whom English is a second language must also submit official TOEFL scores of 79 or higher on the internet-based test, 213 or higher on the computer-based test, or 550 or higher on the paper-based test for verification of English proficiency. English proficiency can also be met by submitting official IELTS scores of at least 6.5 overall band score from the academic module exam.

## Degree Requirements

- Candidates must complete a program of study approved by the department. All courses (maximum of 12 credit hours total) taken outside the Department of Mathematics must have prior departmental approval.
- All students must complete a minimum of 30 credit hours of non-thesis graduate credit, including at least 15 credit hours in the Department of Mathematics. Non-Thesis Option students must complete at least one full-year sequence in Mathematics (MATH) courses numbered 601–689; Thesis Option students are required to complete at least two full-year sequences in Mathematics (MATH) courses numbered 601–689.
- Students must satisfy one of the following three requirements:
**Master's Level Examination Option:**Pass written examination in three areas of mathematics chosen from a list prepared by the department. At most, two attempts are allowed. Examinations will be approved and administered by the departmental Graduate Studies Committee.**Thesis Option:**Write a thesis on an advanced topic in the mathematical sciences. A total of two full-year sequences among courses numbered 601 through 689 must be completed.**PhD Qualifier Option:**Pass two qualifier examinations for the departmental PhD Program. These examinations need not be taken together and each may be attempted at most twice.

- Students choosing the Thesis Option must pass a final oral examination described under Requirements for the Master's Degree.

### Thesis Option Coursework

Code | Title | Hours |
---|---|---|

Core Courses | 12 | |

Choose two full-year sequences from the following: | ||

Real Analysis I Real Analysis II | ||

Algebra I Algebra II | ||

Combinatorics and Graph Theory I Combinatorics and Graph Theory II | ||

Mathematical Modeling I Mathematical Modeling II | ||

Theory of Probability I Therory of Probability II | ||

Statistical Inference Linear Statistical Modeling | ||

Non-Thesis Elective Courses ^{1,2} | 18 | |

Thesis Coursework (optional) | 0-6 | |

Thesis Guidance | ||

Minimum Total Hours | 30-36 |

^{1} | All courses taken outside the Department of Mathematics must have prior departmental approval. |

^{2} | Must include at least 3 hours of Mathematics (MATH) coursework numbered 601-689 (see list below). May include up to 12 hours of approved coursework outside of the department. |

### Non-Thesis Option Coursework

Code | Title | Hours |
---|---|---|

Core Courses | 6 | |

Choose one full-year sequences from the following: | ||

Real Analysis I Real Analysis II | ||

Algebra I Algebra II | ||

Combinatorics and Graph Theory I Combinatorics and Graph Theory II | ||

Mathematical Modeling I Mathematical Modeling II | ||

Theory of Probability I Therory of Probability II | ||

Statistical Inference Linear Statistical Modeling | ||

Elective Courses ^{4,5} | 24 | |

Minimum Total Hours | 30 |

^{4} | All courses taken outside the Department of Mathematics must have prior departmental approval. |

^{5} | Must include at least 9 hours of Mathematics (MATH) coursework numbered 601–689 (see list below). May include up to 12 hours of approved coursework outside of the department. |

### MATH 601–689 Courses

Code | Title | Hours |
---|---|---|

Graduate Course List | ||

Real Analysis I | ||

Real Analysis II | ||

Functional Equations I | ||

Functional Equations II | ||

Seminar on Applied Analysis | ||

Complex Variables I | ||

Complex Variables II | ||

Algebra I | ||

Algebra II | ||

Group Theory | ||

Rings and Ideals | ||

Mathematical Modeling I | ||

Mathematical Modeling II | ||

Topology I | ||

Topology II | ||

Theory of Probability I | ||

Therory of Probability II | ||

Statistical Inference | ||

Linear Statistical Modeling | ||

Introduction to the Stochastic Calculus | ||

Actuarial Models I | ||

Actuarial Models II | ||

Actuarial Modeling I | ||

Actuarial Modeling II | ||

Combinatorics and Graph Theory I | ||

Combinatorics and Graph Theory II | ||

Advanced Combinatorics and Graph Theory I | ||

Advanced Combinatorics and Graph Theory II | ||

Seminar on Discrete Mathematics |