May 28, 2023

2020-2021 Graduate Catalog

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2020-2021 Graduate Catalog [ARCHIVED CATALOG]

Mathematics, M.A.

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Priority Admission Application Deadlines: http://www.grad.usf.edu/majors

Concentration:

Pure and Applied

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

Contact Information

College: Arts and Sciences
Department: Mathematics and Statistics

Contact Information: http://www.grad.usf.edu/majors

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: 30 hours

Core Requirements – 9 Credit Hours
Fundamental Sequence Courses – 6 Credit Hours minimum
Elective Sequence Courses or Conceptration Option – 6 Credit Hours (Electives), 12 Credit Hours (Concentration)
Electives - 3 Credit Hours Minimum
Thesis/Non-Thesis– 6 Credit Hours minimum

Core Requirements (9 Credit Hours)

MAA 5306 Introduction to Real Analysis Credit Hours: 3
MAS 5145 Advanced Linear Algebra Credit Hours: 3
MAE 5177 Teaching College Mathematics Credit Hours: 3

Sequences of Courses

The program offers coherent pairs/triples of courses, referred to as sequences, to ensure a certain balance of breadth and depth of disciplinary knowledge. The student must complete a total of two sequences: one Fundamental Sequence and one from among the Fundamental and Elective Sequences with at least a 3.00 average in each sequence. Each course may count towards only one Sequence.

Fundamental Sequences (6 Credit Hours)

Algebra:

MAS 5311 Algebra I Credit Hours: 3
MAS 6312 Algebra II Credit Hours: 3

Analysis:

MAA 5307 Real Analysis I Credit Hours: 3
MAA 6616 Real Analysis II Credit Hours: 3

Topology:

MTG 5316 Topology I Credit Hours: 3
MTG 6317 Topology II Credit Hours: 3

Elective Sequences (6 Credit Hours)

Applied Mathematics:

one of

MAP 5407 Methods of Applied Mathematics Credit Hours: 3
MAP 5345 Applied Partial Differential Equations Credit Hours: 3

one of

MAA 5405 Applied Complex Analysis Credit Hours: 3
MAT 5932 Selected Topics Credit Hours: 1-4 (Numerical Analysis)

Mathematical Statistics

STA 5326 Mathematical Statistics I Credit Hours: 3
MAT 6932 Selected Topics Credit Hours: 1-4
Mathematical Statistics II (3 Credit Hours) (Proposed STA 6326)

Linear Models and Multivariate Analysis

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

Probability

STA 5446 Probability Theory I Credit Hours: 3
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: 4

Concentration Option

The concentration in Pure and Applied Mathematics has the following requirements in lieu of the elective sequence courses.

Pure and Applied Math Concentration ( ) (12 Credit Hours)

Students must complete three of the following courses.
MAT 5932 Selected Topics Credit Hours: 1-4
Applied Complex Variables (3 Credit Hours) (Proposed MAA 5406)
Other topics (3 Credit Hours)
MAP 5345 Applied Partial Differential Equations Credit Hours: 3
MAP 5407 Methods of Applied Mathematics Credit Hours: 3
MAP 6356 Partial Differential Equations Credit Hours: 3
MAT 6932 Selected Topics Credit Hours: 1-4
Topics Vary (3 Credit Hours)
Students must also complete one of the following courses.
STA 5326 Mathematical Statistics I Credit Hours: 3
STA 6206 Stochastic Processes Credit Hours: 4
STA 6876 Time Series Analysis Credit Hours: 3
MAT 6932 Selected Topics: Mathematical Statistics II (3 Credit Hours) (Proposed as STA 6327)

Electives (3 Credit Hours Minimum)

Students select graduate course electives in consultation with their advisor.

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). For the student who elects the Thesis Option, the Comprehensive Examination takes the form of an oral thesis defense, in which the candidate must demonstrate knowledge of the general subject area of the thesis. For the student who elects the Exam Option, the Comprehensive Examination is passed by passing one of the Fundamental Qualifying Examinations at M.A. level or better.

Thesis/Non-Thesis (6 Credit Hours)

Non-Thesis

Students in the non-thesis option complete an additional 6 hours of electives.

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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Mathematics, M.A.

Contact Information

Admission Information

Curriculum Requirements

Core Requirements (9 Credit Hours)

Sequences of Courses

Fundamental Sequences (6 Credit Hours)

Algebra:

Analysis:

Topology:

Elective Sequences (6 Credit Hours)

Applied Mathematics:

one of

one of

one of

Combinatorics:

Complex Analysis:

Differential Geometry

Dynamical Systems:

Functional Analysis:

Harmonic Analysis

Nonlinear Analysis:

Partial Differential Equations:

Theory of Computing:

Statistical Methods

Mathematical Statistics

Linear Models and Multivariate Analysis

Probability

Stochastic Processes And Time Series Analysis

Concentration Option

Pure and Applied Math Concentration ( ) (12 Credit Hours)

Electives (3 Credit Hours Minimum)

Comprehensive Exam

Thesis/Non-Thesis (6 Credit Hours)

Non-Thesis

Thesis

Department Handbook

Bachelor’s/Master’s Pathway