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Graduate program in Mathematics

At the University of Kentucky, we have strong programs in the traditional areas of algebra, analysis, and topology and in applicable areas of mathematics such as combinatorics, numerical analysis and partial differential equations. Our courses are rigorous, but our atmosphere is friendly and encourages close collaboration between faculty and students. We provide our students a strong preparation for a career in academic mathematics: many of our best students have the opportunity to teach the engineering calculus sequence or junior level mathematics courses during their stay at Kentucky and have the opportunity to work in several special instructional programs. However, in addition to our strength in training students to teach mathematics, many students leave Kentucky to pursue careers in industry or government service.

Degree programs

The Department of Mathematics offers programs leading to the Master of Arts (M.A.), Master of Science (M.S.), Master of Science in Applied Mathematics and the Doctor of Philosophy (Ph.D) degrees. Courses of study are available in algebra, analysis, topology, discrete mathematics, optimization, partial differential equations, and numerical analysis.

The M.A. degree program is based predominantly on course work in algebra, analysis, and topology, and is usually elected by prospective community college and secondary school teachers. It is a thirty credit hour program (ten courses) which may be taken with or without a thesis.

The M.S. degree program is designed to prepare students for industrial, management or public service employment. It emphasizes the skills, attitudes, and knowledge needed for recognition, formulation and solution of real-world problems.

The Master of Science in Applied Mathematics is a more intensive program which emphasizes the skills needed for study of problems arising in areas related to mathematics. This degree requires courses from mathematics, statistics and computer science, as well as a minor outside of mathematics. In addition, students are expected to undertake a project or problem-solving seminar as part of their studies. Additional information is at the address www.math.uky.edu/~MastersAPMS.html

The Ph.D degree is a five year program and consists initially of the course work necessary to pass the Preliminary Examinations (by the end of the third year) and then the research necessary to write an original piece of mathematics for a thesis and eventual publication in a scholarly journal.

Research Facilities

Offices and a library for mathematical sciences are located in a modern office building. The library contains a comprehensive collection of books and journals in mathematics, statistics and related areas. The Center for Computational Science provides computing facilities for faculty and students through a Hewlett Packard superdome computer, and a Linux cluster, an instructional laboratory, and a research graphics laboratory. In addition, HP workstations, a Linux cluster and numerous desktop computers are available to graduate students in mathematics through the Mathematical Sciences Computing Facility. All mathematics graduate students, faculty and staff have accounts on the mathematical sciences network. Opportunities also exist for study of computational mathematics through the Center for Computational Sciences. The University has a campus-wide license for Maple which provides copies for home machines of all University faculty, staff, teaching and research assistants, and fellowship recipients. The University is a member of the Institute for Mathematics and its Applications in Minnesota. Students may attend programs sponsored by the Institute both in Minneapolis and at other member institutions.

Financial Aid

Teaching Assistantships and Fellowships are awarded on a competitive basis. All full-time Teaching Assistants receive stipends of $12,360 - $12,960 per academic year and a full tuition scholarship. Outstanding students may be awarded an additional $3,000, in the form of a Quality Achievement Fellowship, bringing their total award to $15,960 for the ten month academic year. Several fellowships are available for exceptionally well-qualified candidates. Qualified applicants who complete their applications for a teaching assistantship by 1 February 2003 will automatically be considered for these fellowships. There are also a limited number of Research Assistantships with no teaching duties, for advanced students. Most continuing students have the opportunity to teach in the summer term, based on the availability of courses.

Cost of Study

Students supported as fellows or as teaching assistants pay no regular tuition, only a health fee and campus recreation fee totaling $143.75 each semester, and textbook costs. In 2003-04, full-time graduate students who are not holders of teaching assistantships or fellowships pay tuition and fees of $2,487.25 per semester (Kentucky residents) or $6.157.25 (nonresidents).

Student Group

The mathematics department has approximately seventy five graduate students, representing twenty-eight states and six countries. The department places great emphasis on building a community of graduate students and faculty.

Each year, about 5 students receive Ph.D.'s, and about 14 earn Master's degrees. Most Ph.D and M.A. recipients find employment in academic institutions, while M.S. recipients are usually employed by business, industry, or government.

Faculty

The department has a faculty of about forty mathematicians. Faculty work closely with students both in courses, research work and other projects. Research interests include areas of pure mathematics such as algebraic combinatorics, polytopes, algebra, algebraic geometry, commutative algebra, quadratic forms, algebraic topology, elliptic cohomology, mathematical physics, complex analysis, functional analysis, potential theory, non-linear partial differential equations, inverse problems, harmonic analysis, geometric scattering theory and more. In addition, we have an active applied program with interests in areas such as numerical linear algebra, numerical solution of partial differential equations, image processing, combinatorial optimization and the mathematics of materials. For more information about faculty research interests, visit the departmental research web page and the list of faculty web pages

Location

Metropolitan Lexington is in the heart of the Bluegrass country and has a population of approximately 233,000. The area is widely known for its white-fenced horse farms. Lexington and its surrounding areas are rich in historic landmarks and have an unspoiled natural beauty. The city is 80 miles south of Cincinnati, 75 miles east of Louisville, and centrally located in relation to many attractive state parks. Varied sports and recreational facilities and one of the South's leading medical centers make Lexington a very pleasant community in which to study and live.

The University

The University of Kentucky, comprising seventeen colleges, three schools, and the Graduate School, is the principal center for graduate and professional study in Kentucky. Approximately 24,000 students are enrolled on the Lexington campus, and over 6,700 of them are pursuing a graduate or professional degree.

Department of Mathematics, University of Kentucky, Lexington KY 40506-0027, USA

Comments or corrections: dgsmath@ms.uky.edu
Last modified: Tue Jan 27 08:35:04 EST 2004