The Ph.D. in Mathematics with a concentration in Pure and Applied Mathematics
Detailed information concerning the requirements for the Ph.D. in Mathematics can be found in the Graduate Catalog. See, in particular
Admission Requirements
Students seeking admission to the Ph.D. Program in Mathematics at the University of South Florida should satisfy the following requirements:
 Either:
 A Master's degree or equivalent in mathematical sciences or a related area; or
 A Bachelor's degree or equivalent in mathematical sciences or a related area with a strong record of undergraduate/graduate mathematics courses
 Minimum score of 155 on the Quantitative portion of the GRE General Test
 Minimum GPA of 3.5 (on a scale of 4.0) in undergraduate/graduate Mathematics courses
At the discretion of the Graduate Admissions Committee, Ph.D. applicants may be recommended for admission to the Master's Program provisionally.
Coursework Requirements
A Ph.D. in Mathematics requires satisfactory completion of 90 credit hours of graduate coursework, with the following specific requirements.
1. Two Core Sequences
Complete two of the following three Core course sequences, with a minimum GPA of at least 3.0 in each sequence.
Passing a Core Qualifying Exam is considered equivalent to completing the corresponding Core Sequence.
Core Coures Sequences 
Algebra 
 MAS 5107 — Advanced Linear Algebra
 MAS 5311 — Algebra I
 MAS 5312 — Algebra II


Real Analysis 
 MAA 5306 — Introduction to Real Analysis
 MAA 5307 — Real Analysis I
 MAA 6616 — Real Analysis II

Topology 
 MTG 5316 — Topology I
 MTG 5317 — Topology II

2. Two Elective Sequences
Complete two additional course sequences among Core and Elective Sequences, with a minimum GPA of at least 3.0 in each sequence.
For a list of the Elective course sequences, please consult the Mathematics Graduate Program Director or refer to page 228 of the
Graduate Course Catalog.
3. Four Distribution Courses
Complete one course from each of the following four course distribution groups:
Course Distribution Groups 
Algebra 
 MAS 5311 — Algebra I
 MAS 5312 — Algebra II


Real Analysis 
 MAA 5307 — Real Analysis I
 MAA 6616 — Real Analysis II

Complex Analysis 
 MAA 6406 — Complex Analysis I
 MAA 6407 — Complex Analysis II

Topology 
 MTG 5316 — Topology I
 MTG 5317 — Topology II

4. Sixteen Dissertation Hours
At least 16 hours of MAT 7980 — Dissertation. Students working on a dissertation must enroll for a minimum of two (2) hours of dissertation every semester, starting with the semester following Admission to Doctoral Candidacy, up to and including the semester the dissertation is submitted to and approved by the Office of Graduate Studies.
Requirements for Ph.D. Candidacy
 Passing two Core Qualifying Exams at the Ph.D. level within 13 months of entering the Ph.D. program unless an extension is granted by the Mathematics Graduate committee. Each exam can be retaken once. Material covered on the Core Qualifying Exams is outlined in the Syllabi.
 Passing an Elective Qualifying Exam within 25 months of entering the Ph.D. program.
Requirements for Ph.D. Degree
Students must meet graduation requirements in USF Tampa Graduate Catalog from the Office of Graduate Studies. Please see the Graduate Catalog. The following are in addition to the above coursework requirements and requirements for Ph.D. Candidacy:
 Final Oral Examination.
 Final Submission of Dissertation.
Note: If you are preparing your dissertation in LaTeX, the files contained here are correct as of March 2019.
Suggested Ph.D. Course Program
The course program shown below is only a suggestion. Please consult the Graduate Program Director or your Advisor for other possibilities that may better fit your background and interests. The Graduate Program Coordinator can help you with all necessary paperwork.
How to read the following list:
 Core Sequence AI/AII and BI/BII refer to any two of the pairs of course sequence courses
Algebra I/Algebra II, Real Analysis I/Real Analysis II, and Topology I/Topology II.
 Elective sequence AI/ BI and AII/BII similarly refer to any pair of courses which form an elective sequence.
 Elective X means an elective course which may or may not be part of an elective sequence. Electives may be offered as Selected Topics Courses (MAT 5932, MAT 6932).
 Distribution Courses 3 and 4 refer to those distribution courses not yet fulfilled by taking core sequences.

Year 1 
Fall 
 Core Sequence AI (3 cr. hrs.)
 Core Sequence BI (3 cr. hrs.)
 MAS 5107 — Advanced Linear Algebra (3 cr. hrs.)
 International Students only: A course emphasizing spoken English


Spring 
 Core Sequence AII (3 cr. hrs.)
 Core Sequence BII (3 cr. hrs.)
 Elective 1 (3 cr. hrs.)
 Take Core Qualifying Exam A in May.


Summer 
 Elective 2 (3 cr. hrs.) (if offered)
 Elective 3 (3 cr. hrs.) (if offered)


Year 2 
Fall 
 Take Core Qualifying Exam B in September.
 Distribution Course 3 (3 cr. hrs.)
 Elective Sequence AI (3 cr. hrs.)
 Elective Sequence BI (3 cr. hrs.)
Note 1: Apply for the Elective Qualifying Exam after passing both the A and B Core Qualifying Exams at the Ph.D. level. The syllabus of the Elective Exam must be approved by the Graduate Program Director at least one semester prior to taking the exam. Independent Study courses (MAT 6908) may be taken for the Elective Qualifying Exam if Electives are not offered in area of interest.


Spring 
 Take Core Qualifying Exam A in January, if not taken in May.
 Elective Sequence AII (3 cr. hrs.)
 Elective Sequence BII (3 cr. hrs.)
 SeminarColloquium Course * (3 cr. hrs.)
 Take Elective Qualifying Exam in May.
Note 2: After passing three exams at the Ph.D. level, apply for Ph.D. Candidacy and complete the paperwork for the thesis committee.
Note 3: Passing one of the Core Qualifying Exams at either the M.A. or Ph.D. level and completing the abovelisted courses with a GPA of at least 3.0 qualifies for an M.A. degree (exam option).

Summer 
 Elective 4 (3 cr. hrs.) (if offered)
 Elective 5 (3 cr. hrs.) (if offered)



Year 3 
Fall 
 Distribution Course 4 (3 cr. hrs.)
 MAT 7980 — Dissertation (3 cr. hrs.)
 SeminarColloquium Course (3 cr. hrs.)

Spring 
 Elective 6 (3 cr. hrs.)
 MAT 7980 — Dissertation (3 cr. hrs.)
 SeminarColloquium Course (3 cr. hrs.)

Summer 
 Elective 7 (3 cr. hrs.) (if offered)
 MAT 7980 — Dissertation (3 cr. hrs.)


Year 4 
Fall 
 MAT 7980 — Dissertation (6 cr. hrs.)
 SeminarColloquium course (3 cr. hrs.)
Note 4: As appropriate, apply for graduation or extension of Teaching Assistantship. 
Spring 
 Apply for Oral Dissertation Defense.
 MAT 7980 — Dissertation (9 cr. hrs.)


* 

*
The courses MAT 6908 (Independent Study) and MAT 6939 (Graduate Seminar) can be taken with approval from the Graduate Program Director, and, for MAT 6939, the Seminar Organizer. However, credit hours from MAT 6908 and MAT 6939 that are earned prior to passing two Core Qualifying Exams at the Ph.D. level cannot count toward the M.A. or Ph.D. degree.

