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 205MATH 206MATH 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 501MATH 502MATH 521MATH 522MATH 561MATH 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:

  1. Complete application form along with paid application fee.
  2. Cover letter to math department including any information you believe will help process your application. Please indicate in this letter whether you are interested in a GTA position, for example.
  3. Transcripts (an official copy for each undergraduate institution attended. UofL transcripts are automatically submitted).
  4. Letters of recommendation (at least two, preferably three).
  5. Recent (within three years) GRE scores (only the general exam is required).
  6. 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

  1. 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.
  2. 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.
  3. 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.
  4. Students choosing the Thesis Option must pass a final oral examination described under Requirements for the Master's Degree

Thesis Option Coursework

Core Courses12
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 1,218
Thesis Coursework (optional)0-6
Thesis Guidance
Minimum Total Hours30-36

Non-Thesis Option Coursework

Core Courses6
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 4,524
Minimum Total Hours30

MATH 601–689 Courses

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