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Graduate Catalog 2016/2017


Mathematics (MTH)
with a Concentration in Pure and Applied (PAA)

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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


Program 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

There is an established University deadline for the submission of admission application materials. Programs may have earlier deadlines than the University deadline. The deadlines reflected below are the earliest of the two deadlines. Graduate Programs may continue to accept and process applications after the published deadline if space exists within the program. Check with the Program for availability.

Application Deadline (domestic application)

Fall: February 15
Spring: October 1
Summer: ---

International Students

Foreign applicants who are outside the U.S. are required to apply for a visa. Depending on the country of origin, this may take a few months. So the deadlines for these international applicants may be earlier than the Program deadline and these applicants must apply prior to both deadlines. They are strongly encouraged to apply as early as possible. Foreign applicants who are in the U.S. and are currently on a visa may use the domestic application deadline dates. In addition to meeting the published application deadline for the Program of interest, all immigration documents should be submitted as soon as possible, but must be on file at USF no later than the following processing deadlines:

Fall: February 1
Spring: August 1
Summer: ---

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 listed below.

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. See list below.

Program Admission Requirements

Same as general university requirements plus:

  • 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

Students with insufficient preparation in real analysis and/or abstract algebra will be required to take MAA 4211 and/or MAS 4301 before or during their first semester of study.

 

Admissions Status: Apply

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Program Degree 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
1-4


3
1-4

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

1-4
1-4

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
1-4

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 Program 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. program 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 Program 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. program 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 12-month 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

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College Degree Requirements

Refer to the College Section of the Graduate 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 program 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,