Graduate Catalog 2017/2018


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: 8139744929
Email: bcurtin@usf.edu
Website: http://www.math.usf.edu/
Faculty Search: Arts and Sciences Faculty List



Major Information

The Department of Mathematics at the University of South Florida, Tampa Campus, is composed of approximately thirty faculty who do research in a variety of fields, and teach courses ranging from the freshman to the doctoral level. The Department serves as the editorial base for the international journals: Abstract and Applied Analysis and Journal of Theoretical Probability. The Center for Mathematical Services within the department provides lectures, special programs for secondary students, and in service training programs in mathematics. Major Research Areas Algebra, Analysis, Discrete Mathematics, Partial Differential Equations, Probability, Statistics, and Topology, including the following fields: Applied Mathematics, Approximation Theory, Combinatorics, Computational Statistics, Control Theory, DNA computing, Dynamical Systems, Graph Theory, Knot Theory, Nonlinear Analysis, Number Theory, Special Functions, Theoretical Computer Science, and other areas.  
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: August 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 spaceavailable 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 spaceavailable 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 requirements (see Graduate Admissions) as well as requirements for admission to the major, listed below.  Bachelor's degree or equivalent in mathematical sciences or related area
 at least a 650 quantitative score preferred on the GRE
 at least a 3.0 GPA in undergraduate math courses
 three letters of recommendation (two of which should be from college level math professors)
 A completed math department application form
 Statement of goals
In addition to the M.A. program requirements, entrants to the Ph.D. Program must have a Master's degree in Mathematics or a strong enough background as determined by the Graduate Admissions Committee, and three letters of recommendation, at least two of which from mathematicians indicating an aptitude for doctoral study.
Admissions Status: Apply

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Major Requirements

In addition to the University and College requirements, the students must fulfill the following requirements.  REQUIRED COURSES   Credits  CORE REQUIREMENTS  12  Some graduate courses are organized into Core and Elective Sequences as follows:  Sequences  Algebra  MAS5107 MAS5311 MAS5312  Advanced Linear Algebra Algebra I Algebra II  3 3 3  Analysis  MAA5306 MAA5307 MAA6616  Real Analysis I Real Analysis II Abstract Integration  3 3 3  Topology  MTG5316 MTG5317  Topology I Topology II  3 3  Electives  Applied Mathematics: Three courses, one from each group listed.  Group A MAP5407 MAP5345 Group B MAA5405 MAT5932 (or MAD4401) Group C MAP6205 MAT6932  Methods of Applied Mathematics Applied Partial Differential Equation
Applied Complex Analysis Selected Topics
Control Theory and Optimization Selected Topics  3 3
3 14 3 14  Combinatorics  MAD6206 MAD6207  Combinatorics I Combinatorics II  3 3  Complex Analysis  MAA6406 MAA6407  Complex Analysis I Complex Analysis II  3 3  Statistical Methods  STA5166 STA6167  Statistical Methods I Statistical Methods II  3 3  Dynamical Systems  MAT5932 MAT5932  Selected Topics Selected Topics  14 14  Foundations  MHF5306 MHF6307  Mathematical Logic and Foundations I Mathematical Logic and Foundations II  3 3  Linear Models and Multivariate Analysis  STA6208 STA6356  Linear Statistical Models   3   Mathematical Statistics  STA5326 STA6326  Mathematical Statistics I   3 3  Nonlinear Analysis  MAP5316 MAD6207  Ordinary Differential Equations I Ordinary Differential Equations II  3 3  Ordinary Differential Equations  MAP6336 MAT5932  Theory Ordinary Differential Equations I Selected Topics  3 14  Partial Differential Equations  MAP5345 MAP6356  Applied Partial Differential Equations Partial Differential Equations  3 3  Probability  STA5446 STA6447  Probability Theory I Probability Theory II  3 3  Stochastical Processes and Time Series Analysis  STA6206 STA6876  Stochastic Processes Time Series Analysis  4 3  Theory of Computing  MHF5306 MAD6616  Mathematical Logic and Foundations I Algebraic Automata Theory  3 3  For degree requirements, each course from the Elective Sequence list above counts towards only one Elective Sequence. Qualifying Exam A qualifying examination based on a Core Sequence is called a Core Qualifying Examination. The syllabus for each examination is available from the Department. Core Qualifying Examinations are offered in January, May and September. A student who passes a Core Qualifying Examination at Ph.D. level will be considered to have completed the corresponding Core Sequence. Credit hours of MAT 6908 Independent Study, MAT 6939 Graduate Seminar, and MAT 6911 / 7912 Directed Research, earned before passing two Core Qualifying Examinations at Ph.D. level, do not count towards M.A. or Ph.D. degree. These courses, MAT 6908, 6911, 6939 and 7912, however, can be taken by a student before passing two Core Qualifying Examinations at Ph.D. level, with an approval from the Graduate Director, and also from the Seminar Organizer for MAT 6939. The course work for more than one credit hour for MAT 6939 needs an approval from the Graduate Committee.  Core Qualifying Examinations
The student is required to pass two of the Core Qualifying Examinations at Ph.D. Level. A student is expected to complete both within 13 months after entering the Ph.D. unless an extension is granted by the Mathematics Graduate committee. A student may repeat each examination once.  Elective Qualifying Examination
After passing two Core Qualifying Examinations, the student will select a Dissertation Advisor and a Doctoral Committee will be appointed by the Department Chairperson. The Committee will determine a course of study leading to the written Elective Qualifying Examination, which may be based on one of the Elective Sequences above, possibly supplemented by other material. The syllabus for this examination, and the names of two examiners from the Faculty, must be approved by the Mathematics Graduate Director at least one semester before the examination is to take place. A student is expected to complete all three examinations within 25 months after entering the Ph.D. unless an extension is granted by the Mathematics Graduate Committee. A student may repeat each examination once. The student will be admitted to candidacy after completion of the above two requirements.  Completion of Four Sequences
The student must complete four sequences from among Core and Elective Sequences with at least a 3.0 average in each sequence.  Additional Course Requirement: The student must complete at least one course from each of the following groups: Group 1 Algebra: MAS 5311, 5312; Group 2 Real Analysis: MAA 5307, 6616; Group 3 Complex Analysis: MAA 6406, 6407; Group 4: Topology: MTG 5316, 5317
 Progress Evaluation
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.  Final Oral Examination
The Final Oral Examination is also called the Dissertation Defense The department defers to the university requirements.   DISSERTATION REQUIREMENTS  16  MAT7980  Dissertation: Doctoral  16  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 12month period (previous 3 terms, e.g. Fall, Spring, Summer) until the degree is granted. The dissertation is expected to contain new mathematical results which are worthy of publication. Research towards the dissertation typically forms the major part of the work required for the Ph.D. in Mathematics.   MINIMUM TOTAL PROGRAM CREDITS  90  Top  


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 online registration system to register for your classes. Follow the directions given online.
To access online course materials, students must have a USF NetID (email 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/classprep/usfcard.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,

