Three programs are currently closely affiliated with the Mathematics Department: the Mathematics Program (MATH), the Applied Mathematics and Scientific Computation Program (AMSC), and the Mathematical Statistics Program (STAT). Students applying for admission should use the appropriate symbol to indicate their program of interest. The interdisciplinary Applied Mathematics and Scientific Computation Program offers two concentrations, one in applied mathematics and one in scientific computation. The Statistics Program is concerned with mathematical statistics and probability. The AMSC and STAT programs are described in detail elsewhere in this catalog.
Students can earn Master of Arts and Doctor of Philosophy degrees in the Mathematics Program. The master's degree is not required for entrance to the Ph.D. program.
The Mathematics Program offers graduate programs in algebra and algebraic geometry, complex analysis, dynamical systems and chaos, geometry, harmonic analysis, mathematical logic, number theory, numerical analysis, ordinary differential equations, partial differential equations, probability, real and functional analysis, representation theory, statistics and topology.
Admission is granted to applicants who show promise in mathematics as demonstrated by their undergraduate record. Unless courses in advanced calculus and (undergraduate) abstract and linear algebra have been taken, admission may be on a provisional basis (conditioned on passing MATH 410, 403, and/or 405 with a grade of B). Both the Subject Test and the General Test of the Graduate Record Examination are required for admission.
Type of Applicant Fall Spring
Domestic Applicants; US Citizens and Permanent Residents with foreign credentials; International Applicants seeking admissions under A, E, G, H, I and L visas and immigrants
Deadline: May 1
Preferred: January 15
Deadline: October 1
Preferred: September 15
International Applicants seeking admission under F (student) or J (exchange visitor) visas
Deadline: February 1
Preferred: January 15
Deadline: June 1
Preferred: June 1
GRE General, GRE Mathematics, 3 letters of recommendation, and advanced courses form
Master of Arts (M.A.)
The M.A. degree program offers both a thesis and non-thesis option; most students choose the latter. The non-thesis option requires students to take 30 credit hours with an average of at least a B. At least 18 credits must be at the 600/700 level, including at least 12 hours in mathematics. Additionally, students must complete two full-year sequences at the 600/700 level; either pass Departmental written examinations in three different mathematical fields at the Master's level, or pass two exams in different mathematical fields at the PhD level; and write a scholarly paper.
The thesis option requires a total of 24 hours of courses carrying graduate credit of which at least 15 are at the 600/700 level. Of these 15 hours at least 12 must be in mathematics. Of these 12 hours, at least 3 hours must be in each of two fields of mathematics distinct from the one in which the thesis is written, and must be passed with a grade of B or better. The student must also take 6 hours of thesis research, write a satisfactory thesis, and pass a final oral examination.
The M.A. degree includes no foreign language requirement. Generally it takes two to three years to earn the M.A., and approximately 20 degrees are granted each year in mathematics (MATH, STAT, and AMSC combined).
The department also has a 5-year program to earn a combined M.A./B.S. degree. The requirements for this program include the requirements for both the B.S. degree and the M.A. degree, with 9 hours of overlapping credits. Either the thesis or non-thesis option for the M.A. degree is available in this program.
Doctor of Philosophy (Ph.D.)
The Ph.D. program does not require an M.A. degree, but applicants who are accepted should show, on the basis of their undergraduate record and recommendations, that they possess not only marked promise in mathematical activities but the potential to perform on a creative level. Like the M.A. program, admission may be granted on a provisional basis.
Students in the Ph.D. program must complete a minimum of 36 hours of formal coursework (at least 27 at the 600/700 level) with an average grade of B or better; at least 18 hours must be taken in the Department of Mathematics. In addition, the university requires at least 12 hours of MATH 899 (Doctoral Research). Ph.D. students must pass Departmental written examinations in three subfields of mathematics. The purpose of the written qualifying exams is to indicate that the student has the basic knowledge and mathematical ability to begin advanced study. Passing the exams is thus supposed to certify understanding of (selected) first-year graduate material. These examinations are given twice a year, in January and August. A student may take one or more examinations at a time. All three examinations must be passed by January of the student's third year in the graduate program. If successful in these written examinations, students must do advanced reading and coursework in their special area of interest before they can be admitted to candidacy and begin dissertation research. The dissertation must represent an original contribution to mathematical knowledge and is usually published in a mathematical journal.
Generally Ph.D. students spend about six years before obtaining the degree. The combined programs of mathematics, applied mathematics and statistics award an average of 18 Ph.D.s each year. The Ph.D. program has a foreign language requirement. Before a student can schedule the Final Oral Examination, he or she must pass a written examination in either French, German or Russian. The language examinations are composed and graded within the Department and involve translating a passage from a mathematical text into competent English.
The Department is actively involved in research in a number of areas, strengthened further by a complement of mathematicians from the Institute for Physical Science and Technology. The Department fosters a lively program of seminars and colloquia; about half of these talks are given by outside specialists. In addition the department has a tradition of hosting distinguished long term visitors who give series of seminar talks or teach semester long courses.
The Engineering and Physical Sciences Library is located on the ground floor of the Mathematics Building and contains more than 95,000 volumes in mathematics, physics and engineering, and more than 280 journals in pure and applied mathematics. The Library of Congress, with its extensive collection of books and technical reports, is only a half hour from campus.
The Department has a large network of computers mostly running Linux. The Department houses a computer classroom and a Mathematical Visualization Lab, and similar labs are scattered across campus. There are computers in almost all graduate student offices, and many of the other computers on campus are available for student use.
The Department cooperates closely with the Institute for Physical Science and Technology and with the Department of Computer Science. Faculty members of both groups offer courses in the Department, and the facilities of the computer center are available to serve the research needs of both faculty and graduate students. Members of the Department participate actively in the interdisciplinary Applied Mathematics and Scientific Computation Program, and they also staff the Mathematical Statistics Program.
The MATH program is expecting to support between 15 and 20 new doctoral students each Fall. Offers of support are generally made for up to five years, contingent on the student making satisfactory academic progress. Except for unusual circumstances, offers of financial aid will not be made to applicants seeking a Master's degree. The normal teaching load is four to six hours per week of classroom teaching in addition to the duties of meeting with students and grading papers. Sometimes fellowships and research assistantships are also available.
For questions regarding Departmental programs, admission procedures, and financial aid, contact:
Ms. Celeste Regalado, Program Coordinator
1112 Mathematics Building
University of Maryland
Telephone: (301) 405-5058