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Graduate Catalog 2018/2019


Mathematics (MTH)

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Doctor of Philosophy (Ph.D.)
CIP Code: 27.0101
College of Arts and Sciences (AS)
Total Minimum Program Hours Required (Post Bachelor's Degree): 90
Total Minimum Program Hours Required (Post Masters Degree): 60

Contact Information:
College of Arts and Sciences
Mathematics and Statistics Department (MTH)
4202 E. Fowler Avenue CMC342
Tampa FL  33620

Program Director or Coordinator:
Brian Curtin
Phone: 813-974-4929
Email: bcurtin@usf.edu

Website: http://www.math.usf.edu


Faculty Search: Arts and Sciences Faculty List


Major Information

The Department of Mathematics and Statistics offers a Ph.D. in mathematics with concentrations in Pure and Applied mathematics and in Statistics. The major provides the experience and knowledge to understand and appreciate prior accomplishments in the discipline and develops 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. Graduates receive training that enables them to conduct independent research and write research papers publishable in peer-reviewed journals of their discipline, as well as a technical education enabling them to take on leading positions in a modern economy.

Accreditation Information:

Accredited by the Commission on Colleges of the Southern Association of College and Schools.

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Admissions Information

Admission Deadlines

Major Priority Deadline

Fall: February 1
Spring: October 1
Summer: ---

Graduate Admission Application Deadlines

MASTER'S AND
EDUCATION SPECIALIST DEGREES

Admission for
Fall Semester

Admission for
Spring Semester

Admission for
Summer Semester

  • Applications received by the Priority Deadline will receive maximum consideration. 
  • Applications received after the Priority deadline, but by the Final University Deadline, are considered on a space available basis. 
  • Applications must be complete with all required information by the stated deadline.  Any application materials received after the deadline may be reviewed on a space-available basis.

Check with the Graduate Major Director for availability or to discuss options for admission in a subsequent term. 

Priority Deadline
(for funding and consideration)

Refer to Specific Major

Refer to Specific Major

Refer to Specific Major

Final University Deadline
Domestic
Applicants

June 1

October 15

February 15

Final University Deadline
International
Applicants

June 1

September 15

February 15

DOCTORATE DEGREES

Admission for
Fall Semester

Admission for
Spring Semester

Admission for
Summer Semester

  • Applications received by the Priority Deadline will receive maximum consideration. 
  • Applications received after the Priority deadline, but by the Final University Deadline, are considered on a space available basis. 
  • Applications must be complete with all required information by the stated deadline.  Any application materials received after the deadline may be reviewed on a space-available basis.

Check with the Graduate Major Director for availability or to discuss options for admission in a subsequent term. 

Priority Deadline
(for funding and consideration)

Refer to Specific Major

Refer to Specific Major

Refer to Specific Major

Final University Deadline
Domestic
Applicants

February 15

October 15

February 15

Final University Deadline
International
Applicants

February 15

September 15

February 15


Admission Requirements

You must comply with general University policies and meet general University Admission requirements in addition to those listed below.

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

  • A degree from a regionally accredited institution relevant to the prospective concentration. Either
    • a Master's degree or equivalent in mathematical sciences/statistics or a related area; or
    • a Bachelor's degree or equivalent in mathematical sciences/statistics or related area with a strong record of undergraduate/graduate courses related to prospective concentration.
  • At least a 55th percentile Quantitative score on the GRE; Verbal and Analytic Writing scores on the GRE are also considered.
  • At least a 3.50 GPA in graduate and/or upper undergraduate mathematics/statistics courses.
  • Three letters of recommendation (two of which should be from college level mathematics/statistics professors)
  • A completed departmental application form, including a statement of goals.
  • A completed departmental graduate teaching assistantship application form (if such a position is desired).

Applicants to the Ph.D. program may be offered admission to the M.A. program and move to the Ph.D. program after establishing a record of success in graduate courses. Graduate Teaching and Research Assistantships are available on a competitive basis. Contact the Department for recommended prerequisites for each concentration.

Admissions Status: Apply

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Major Requirements

Total Minimum Hours: 90 hours post-baccalaureate
Post-master's hours: 60 hours post-masters
Core courses 9 hours
Concentration 9 hours minimum
Sequence Courses 24-27 hours depending on concentration
Electives 2 hours minimum
Dissertation 16 hours minimum

Core Courses 9 hours
All students in the Mathematics Ph.D. program must take the following core courses:
MAA 5307 3Real Analysis I
MAS 5145 3Advanced Linear Algebra
MAE 5177 3Teaching College Mathematics (Proposed course)

Concentrations
Students select from one of the concentrations below. Each concentration requires a number of courses to ensure breadth of disciplinary knowledge. Substitutions may be allowed with prior approval of both the Concentration Director and Concentration Graduate Committee.

Pure and Applied Concentration 9 hours
The student must complete at least one course from each of the following groups:

Group 1 Algebra: MAS 5311 Algebra I
MAS 6312 Algebra II

Group 2 Complex Analysis:MAA 6406 Complex Analysis I
MAA 6407 Complex Analysis II

Group 3 Topology: MTG 5316 Topology I
MTG 6317 Topology II

Statistics Concentration 18 hours
The student must complete the following courses:
STA 5446 Probability Theory I
STA 6447 Probability Theory II
STA 5526 Nonparametric Statistics
STA 6746 Multivariate Analysis
STA 6876 Time Series Analysis
MAT 5932 Special Topics (Survival Analysis)

Choose three of the following seven courses:9 hours
STA 6206 Stochastic Processes
MAT 6932 Special Topics (Stochastic Dynamic Modeling)
MAT 5932 Special Topics (Time Series Analysis II)
MAT 5932 Special Topics (Nonlinear Time Series Analysis)
MAT 5932 Special Topics (Multivariate Iterative Processes with Applications)
MAT 6908 Independent Study (preapproval required)
MAT 5932 Special Topics Courses (preapproval required)

Sequences of Courses - 24 hours minimum
Each concentration offers coherent pairs/triples of courses, referred to as sequences, to ensure a certain depth of disciplinary knowledge. The student must complete two Fundamental sequences and a total of four sequences from among the Fundamental and Elective Sequences with at least a 3.00 average in each sequence. Fundamental Sequences prepare students for Fundamental Qualifying Examinations, of which students must pass two. A student who passes a Fundamental Qualifying Examination at Ph.D. level will be considered to have completed the corresponding Fundamental Sequence. Prior to offering, the Mathematics Graduate Committee may approve a pair of courses to be an elective sequence. Each course may count towards only one sequence.

Fundamental Sequences for the Pure and Applied Mathematics concentration

Algebra: MAS 5311 Algebra I
MAS 6312 Algebra IIReal Analysis: MAA 5306 Introduction to Real Analysis
MAA 5307 Real Analysis I (taken as a core requirement)
MAA 6616 Real Analysis IITopology:MTG 5316 Topology I
MTG 6317 Topology II

Elective Sequences for the Pure and Applied Mathematics concentration

Applied Mathematicsone of MAP 5407 Methods of Applied Mathematics
MAP 5345 Applied Partial Differential Equations
one ofMAA 5405 Applied Complex Variables
MAT 5932 Special Topics (Numerical Analysis)
andone of MAP 6205 Control Theory and Optimization
MAT 6932 Special Topics (Dynamical Systems II)CombinatoricsMAD 6206 Combinatorics I
MAD 6207 Combinatorics IIComplex AnalysisMAA 6406 Complex Analysis I
MAA 6407 Complex Analysis IIDifferential GeometryMTG 6256 Differential Geometry I
MTG 6257 Differential Geometry II (Proposed course)Dynamical SystemsMAT 5932 Special Topics (Dynamical Systems I)
MAT 6932 Special Topics (Dynamical Systems II)Functional AnalysisMAA 6506 Functional Analysis I
MAA 6507 Functional Analysis IIHarmonic AnalysisMAT 6932 Special Topics (Harmonic Analysis)
MAP 6356 Partial Differential EquationsNonlinear AnalysisMAP 5316 Ordinary Differential Equations I
MAP 5317 Ordinary Differential Equations IIPartial Differential EquationsMAP 5345 Applied Partial Differential Equations
MAP 6356 Partial Differential EquationsTheory of ComputingMAD 6616 Theory of Computing
MAD 6510 Analysis of Algorithms

All sequences for the Statistics Concentration are Elective Sequences for the Pure and Applied Concentration.

Fundamental Sequences for the Statistics Concentration

Statistical Methods: STA 5166 Statistical Methods I
STA 6167 Statistical Methods II
STA 6208 Linear Statistical Models

Mathematical Statistics: STA 5326 Mathematical Statistics I
STA 6326 Mathematical Statistics II

Elective Sequences for the Statistics Concentration
Linear Models and Multivariate Analysis:STA 6208 Linear Models
STA 6746 Multivariate Analysis

Probability:STA 5446 Probability I
STA 6447 Probability II

Stochastic Processes and Time Series Analysis:STA 6876 Time Series Analysis
STA 6206 Stochastic Processes

Electives 2 hours minimum
Students select graduate course electives in consultation with their advisor.

Independent Study, Graduate Seminar, and Directed Research
Prior to passing two Fundamental Qualifying Examinations at Ph.D. level, students may not earn credit toward the MA or Ph.D. degrees for MAT 6908 Independent Study, MAT 6939 Graduate Seminar, and MAT 6911 / 7912 Directed Research, although they may take these courses with the approval of the Concentration Graduate Director. Students must obtain the approval of the Seminar Organizer to take credit hours of MAT 6939 Graduate Seminar.

External Coursework
Graduate coursework taken from other departments may be accepted toward the minimum number of credits with prior approval from the Concentration Graduate Director.

Qualifying Examinations
A Qualifying Examination based on a Fundamental Sequence is called a Fundamental Qualifying Examination. The student is required to pass two Fundamental Qualifying Examinations at the Ph.D. Level. The student is expected to pass both within 17 months after entering the Ph.D. unless an extension is granted by the Concentration Graduate Committee. Students may repeat an examination only once unless additional attempts are granted by the Concentration Graduate Committee. The syllabus for each examination is available from the Department. Fundamental Qualifying Examinations are offered in January, May and August.

After passing two Fundamental Qualifying Examinations, the student will select a Dissertation Advisor, who will convene a Specialty Examination Committee. The Specialty Examination Committee will prepare a syllabus for the students Specialty Examination on background material for the students intended research. The syllabus for the Specialty Examination and the names of two examiners from the Faculty, must be approved by the Concentration Graduate. The student is expected to complete the Specialty Examination within 25 months after entering the Ph.D. unless an extension is granted by the Concentration Graduate Committee.

Passing two Fundamental Qualifying Examinations and the Specialty Examination at the Ph.D. level is considered passing the Doctoral Qualifying Examination. After passing the Doctoral Qualifying Examination, the student should form their Doctoral Dissertation Committee and apply for Doctoral Candidacy. Once admitted to Doctoral Candidacy, the student may enroll in Doctoral Dissertation hours.

Each Spring semester after admission to doctoral candidacy, the candidate shall give an oral presentation to the Doctoral Committee of the problem(s) under investigation. The presentation may also include a discussion of partial results. The Dissertation Advisor shall submit to the Department Chairperson a written report of the presentation.

Dissertation - 16 credit hours minimum
MAT 798016Doctoral Dissertation

Students admitted to doctoral candidacy are required to take at least 16 hours in MAT 7980 Doctoral Dissertation, with a minimum of 6 credits of dissertation hours accumulated during each previous 12-month period (previous 3 terms, e.g. Fall, Spring, Summer) until the degree is granted.

The candidate will conduct original and significant research which is worthy of publication. The research will be described in the doctoral dissertation. Research towards the dissertation typically forms the major part of the work required for the Ph.D. in Mathematics. The Doctoral Dissertation Defense shall consist of an oral presentation of the research in the dissertation to the supervisory committee.

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.


College Degree Requirements

Refer to the College Section of theGraduate Catalog for College requirements and information.

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USF Degree Requirements

See USF Degree Requirements —
http://www.grad.usf.edu/policies.php

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Financial Assistance


Financial Aid

Fellowships & Scholarships

Graduate Assistantships

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Registration Process

First, contact your graduate advisor for guidance courses to register for. Obtain any electronic course permit if necessary. Register for the new student orientation online at http://www.grad.usf.edu/orientation.php. Then go to http://oasis.usf.edu/ the link to OASIS, USF's on-line registration system to register for your classes. Follow the directions given on-line.

To access online course materials, students must have a USF NetID (e-mail account). Please visit: https://netid.usf.edu/una/ to obtain your NetID.

New students, including those studying online, may obtain a USFCard. Please visit: http://www.usf.edu/it/class-prep/usf-card.aspx to obtain your USFCard.

Tuition and fees: Fees are determined by the level of the course. Please visit Cash Accounting, Controller's Office, for information on tuition and fees.

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Graduate Course Information

Use the list below to lookup graduate courses related to this program in the USF Course Inventory:

MAS5107, MAS5311, MAS5312, MAA5306, MAA5307, MAA6616, STA5326, STA6326, MTG5316, MTG5317, MAP5407, MAP5345, MAA5405, MAT5932, MAD4401, MAP6205, MAT6932, MAD6206, MAD6207, MAA6406, MAA6407, STA5166, STA6167, MAT5932, MAT5932, MHF5306, MHF6307, STA6208, STA6356, MAP5316, MAD6207, MAP6336,