Dec 04, 2024

2024-2025 Graduate Catalog

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2024-2025 Graduate Catalog

Mathematics, M.A.

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College of Arts and Sciences
Department: Mathematics and Statistics

Major Contacts, Deadlines, and Delivery Information

Also offered as a Bachelor’s/Master’s Pathways

This Major shares a common core with the Applied Mathematics, M.A.

The Major provides the experience and knowledge to understand and appreciate prior accomplishments in the discipline and develop the skills necessary for a meaningful contribution to the intellectual advancement and applications of the discipline. It prepares its graduates to pursue long-term careers in their field by providing solid and cutting-edge knowledge, as well as a technical education enabling them to take on leading positions in a modern economy.

Major Research Areas

Algebra & Number Theory, Applied Statistics, Approximation Theory, Bio-Mathematics, Complex & Harmonic Analysis, Cyber-Security & Cryptography, Data Science, Differential Equations, Graph Theory & Combinatorics, Low-Dimensional Topology, Mathematics Education, Mathematical Physics, Operator Theory, Probability, Statistical Learning, Stochastic Processes & Modelling

Admission Information

Must meet University Admission and English Proficiency requirements as well as requirements for admission to the major, listed below.

A Bachelor’s degree or equivalent in mathematical sciences or related area.
GRE - At least a 55th percentile Quantitative score; Verbal and Analytical Writing scores are also considered.
At least a 3.00 GPA in undergraduate math courses, and specifically in the following courses or their equivalents: Elementary Abstract Algebra, Bridge to Abstract Mathematics, and Intermediate Analysis.
Three letters of recommendation (two of which should be from college level mathematics/statistics professors).
A completed math department application form, including a statement of goals
A completed departmental graduate teaching assistantship application form (if such a position is desired).

The Graduate Admissions Committee may provisionally admit applicants from other majors to the Master’s Program if they meet the GPA requirement.

Curriculum Requirements

Total Minimum Hours: 31 hours

Shared Core Requirements – 4 Credit Hours
Other Required Courses - 3 Credit Hours
Mathematics Knowledge Breadth and Depth - 6 Credit Hours Minimum
Electives - 6 Credit Hours
Thesis/Non-Thesis– 6 Credit Hours minimum

Core Requirements (4 Credit Hours)

MAS 5145 Advanced Linear Algebra Credit Hours: 3
MAT 5710 Scientific Computation and Writing Credit Hours: 1

Additional Required Courses (3 Credit Hours)

Students must complete the following course. If taken at the undergraduate level (MAA 4212) or its approved analogue is taken, then an approved elective may be taken in place of MAA 5306:

MAA 5306 Introduction to Real Analysis Credit Hours: 3

Mathematics Knowledge Breadth and Depth Courses (6 Credit hours minimum)

The Program offers structured coursework to ensure both breadth and depth of disciplinary knowledge. The student must complete either two pairs of courses from the Fundamental Knowledge categories, or one pair of courses from the Fundamental Knowledge categories and one group of courses from Mathematical Depth categories with at least a 3.00 grade average. Each course may count towards one category.

Fundamental Knowledge in Algebra, Analysis or Topology

MAS 5311 Algebra I Credit Hours: 3 AND
MAS 6312 Algebra II Credit Hours: 3
OR
MAA 5307 Real Analysis I Credit Hours: 3 AND
MAA 6616 Real Analysis II Credit Hours: 3
OR
MTG 5316 Topology I Credit Hours: 3 AND
MTG 6317 Topology II Credit Hours: 3

Course Groups Representing Mathematics Depth

Graph Theory

MAD 6305 Graph Theory I Credit Hours: 3 AND
MAD 6308 Graph Theory II Credit Hours: 3

Harmonic Analysis

MAP 6418 Harmonic Analysis Credit Hours: 3 AND
MAP 6356 Partial Differential Equations Credit Hours: 3

Nonlinear Analysis:

MAP 5316 Ordinary Differential Equations I Credit Hours: 3 AND
MAP 5317 Ordinary Differential Equations II Credit Hours: 3

Partial Differential Equations:

MAP 5345 Applied Partial Differential Equations Credit Hours: 3 AND
MAP 6356 Partial Differential Equations Credit Hours: 3

Theory of Computing:

MAD 6616 Algebraic Automata Theory Credit Hours: 3 AND
MAD 6510 Algorithms in Discrete Structures Credit Hours: 3

Statistical Methods

STA 5166 Statistical Methods I Credit Hours: 3 AND
STA 6167 Statistical Methods II Credit Hours: 3 AND
STA 6208 Linear Statistical Models Credit Hours: 3

Mathematical Statistics

STA 5326 Mathematical Statistics I Credit Hours: 3 AND
STA 6348 Mathematical Statistics II Credit Hours: 3

Linear Models and Multivariate Analysis

STA 6208 Linear Statistical Models Credit Hours: 3 AND
STA 6746 Multivariate Analysis Credit Hours: 3

Probability

STA 5446 Probability Theory I Credit Hours: 3 AND
STA 6447 Probability Theory II Credit Hours: 3

Stochastic Processes And Time Series Analysis

STA 6876 Time Series Analysis Credit Hours: 3
STA 6206 Stochastic Processes Credit Hours: 3
MAT 6932 Selected Topics Credit Hours: 1-4 taken as Stochastic Modelling of Dynamical Systems (3 Credit Hours for this program)

Electives (6 Credit Hours Minimum)

Students select graduate courses listed above in consultation with their advisor. Courses cannot count in more than one area.

Comprehensive Exam

The student must either successfully defend a thesis (the Thesis Option) or pass one of the written Fundamental Qualifying Examinations (the Exam Option).

Thesis/Non-Thesis (6 Credit Hours)

Non-Thesis

Students in the non-thesis option complete an additional six (6) hours of electives from the graduate courses listed above.

Thesis

MAT 6971 Thesis: Master’s Credit Hours: 2-19 (6 Credit Hours)
A student who elects the Thesis Option must register for a minimum of six (6) credit hours in MAT 6971 , only six (6) hours of which may be applied toward the 30-hour degree requirement.

Department Handbook

The student is responsible for familiarizing themselves with the additional program requirements and expectations listed in the program handbook, particularly those concerning timely progress.

Bachelor’s/Master’s Pathway

Also available as a Bachelor’s/Master’s Pathway

University of South Florida

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