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Graduate Catalog 2016/2017


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

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Master of Arts (M.A.)
CIP Code: 27.0101
College of Arts and Sciences (AS)
Total Minimum Program Hours Required (Post Bachelor's Degree): 30

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.

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
  • 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

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.

A candidate must complete at least 30 credit hours in Mathematics.

Also offered as a 5-year program.

REQUIRED COURSES

 

Credits

CORE REQUIREMENTS

30

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.

  • The Mathematics graduate courses of 5000 level or higher, offered regularly for mathematics majors from the Mathematics department, are counted towards the 30-hour requirement.
  • Up to 6 hours of 4000 level or higher courses, taken from our department or other departments at USF, may be counted towards the 30-hour requirement with approval by the Graduate Program Director and the Department Chairperson.
  • Completion of Sequences: A Candidate must complete two Core or Elective Sequences, at least one of which must be a Core Sequence, and receive at least a 3.0 average in each sequence.
  • Each candidate for the M.A. degree must either be examined on a thesis or pass one of the written Core Qualifying Examinations.

Comprehensive Exam
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.

A student who elects the exam option must pass one of the Core Qualifying Examinations at M.A. level. A student may repeat each examination once.

 

THESIS REQUIREMENTS

6

MAT6971

Thesis: Master's

6

A student who elects the thesis option must register for a minimum of six (6) credit hours in MAT6971, only six (6) hours of which may be applied toward the 30-hour degree requirement.

 

MINIMUM TOTAL PROGRAM CREDITS (beyond baccalaureate degree)

33

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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 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,