Department of Mathematics

Main Departmental Office

General Academic Building, 418

P.O. Box 311430

Denton, TX 76203-1430

(940) 565-2155

Web site: www.math.unt.edu

Neal Brand, Chair

Graduate Faculty: Allen, Anghel, Bator, Bilyeu, Brand, Brittenham, Brozovic, Cherry, Clark, Conley, DeLatte, Douglass, Hagan, Iaia, Jackson, Kallman, Kung, Lewis, Liu, Mauldin, Michler, Monticino, Neuberger, Quintanilla, Urbanski, Vest, Viens, Warchall, Zamboni.

The department offers programs leading to the following degrees:

Opportunities for supervised research are available in algebra, differential equations, numerical analysis, probability and statistics, topology, descriptive set theory, vector measures, operator theory and group representations, combinatorics, Banach spaces, image processing, logic and foundations, chaos and dynamical systems.

Students who graduate with degrees in mathematics are flexible and adaptable in the workplace and readily obtain jobs with high-technology companies and in business, industry, government and education. Salaries and working conditions match those of engineers and computer scientists.

The library collection in the mathematical sciences is one of the nation's finest, with more than 17,000 volumes. Students and faculty have access to the mainframe computers by way of terminals in the department. Each faculty and graduate student office is equipped with a desktop PC and printer.

Research

Faculty and students actively pursue both basic and applied research in mathematics. These topics range from the traditional areas of algebra, analysis, topoloty, probability and foundations to new and applied topics such as chaos theory, dynamical systems, image processing and stochastic differential equations

Research is currently supported by grants from the National Science Foundation, the Air Force, the National Security Agency, the Institute for Defense Analysis, the Texas Advanced Research Program, Lockhee/Martin and the Defense Advanced Research Project Agency.

Scholarships and Financial Support

Graduate students usually support their study by working as teaching fellows for the department. Stipends paid for teaching fellows are competitive.

Work also is available for teaching assistants and math lab tutors, and the department has funds available for research assistants.

Contact the department chair for complete details and for information about financial support.

Admission Requirements

Note: Admission requirements were being revised at the time this catalog went to press. Contact the Toulouse School of Graduate Studies or the program for current admission requirements, or see information posted on the graduate school web site (www.tsgs.unt.edu).

Application for admission to the Toulouse School of Graduate Studies is made through the office of the dean of the School of Graduate Studies. The applicant should have the equivalent of an undergraduate major in mathematics at this institution. Deficiencies in this respect will be evaluated and must be remedied as a condition of final admission. A score of 1100 (verbal plus quantitative) on the GRE is required.

Degree Programs

The Department of Mathematics offers graduate programs leading to the following degrees:

All graduate students will consult with the graduate adviser regarding a program of study. Graduate students are evaluated annually regarding progress toward graduation. Those not making satisfactory progress will be dropped from the program. Appeals for reinstatement may be made to the department's graduate affairs committee.

Master of Arts

The Master of Arts degree in mathematics is designed primarily for those students who plan to pursue the PhD degree and who plan careers in college teaching, business or industry. The program consists of 24 hours of approved course work (numbered 5000 or above) and a thesis carrying 6 hours of credit. The student in this program normally will take five of these six courses: MATH 5310, 5320, 5520, 5530, 5610 and 5620. A minor of 6 semester hours may be elected by the student with consent of the department. The final oral examination is scheduled after completion of the thesis.

Candidates for the MA degree must demonstrate proficiency in a foreign language (normally French, German, Spanish or Russian). See the Admission section of this catalog for further details.

Master of Science

The Master of Science degree with a major in mathematics is designed for those students who wish to develop a high level of competence in mathematical theory and technique in order to apply this knowledge in fields outside mathematics. The program consists of 36 hours of approved course work, including a minor of up to 9 hours in a field outside mathematics. The student normally will take five of these six courses: MATH 5310, 5320, 5520, 5530, 5610 and 5620.

Candidates must demonstrate a proficiency in computer programming equivalent to that acquired in a 6-hour introductory course. The final examination normally will be scheduled during the final semester of the studentís course work. A thesis is optional.

Doctor of Philosophy

The Doctor of Philosophy degree is awarded for superior accomplishment, the attainment of a high level of scholarship and the demonstrated ability, through independent study and research, to carry out an original investigation and present the results of such investigation.

Course Requirements

Until the student has selected a major professor, a provisional committee will assist in planning the doctoral program. The program will be designed to provide the student with competence in several major areas of mathematics and to provide for intensive study and research in the area of specialization. The student will be expected to complete approximately 90 hours of graduate work in mathematics beyond the bachelor's degree, of which about half should be in courses numbered above 6000. Included in this work, the student will be expected to take (or previously have taken the equivalent of) the following core sequences: MATH 5310-5320, 5410-5420, 5520-5530 and 5610-5620. In addition the student is required to take at least two 6000-level courses in each of the areas of algebra, analysis and topology.

Foreign Language Requirement

PhD candidates must demonstrate proficiency in a foreign language approved by the department (normally chosen from French, German, Spanish and Russian). See the Doctoral Degree Requirements section of this catalog for additional information.

Qualifying Examinations

Before enrolling in the dissertation seminar, the student must pass qualifying examinations over two areas chosen from algebra, topology, real analysis and complex analysis. The doctoral advisory committee is appointed upon successful completion of the qualifying examinations.

Dissertation and Final Examination

The candidate must submit a dissertation exhibiting independent research on a topic approved by the doctoral committee. After the completion of the dissertation, a final comprehensive oral examination will be given, which will be primarily a defense of the dissertation.

Courses of Instruction

All Courses of Instruction are located in one section at the back of this catalog.

Course and Subject Guide

The "Course and Subject Guide," found in the Courses of Instruction section of this book, serves as a table of contents and provides quick access to subject areas and prefixes.

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