Master's Programs
The Department offers Master's programs in both Mathematics
and Statistics.
The Master's programs are based on a two-year curriculum of
study culminating with a comprehensive examination or a thesis.
Graduates from these programs are well prepared both for doctoral
studies and for employment in academic and non-academic settings.
Master of Arts
The M.A. program is designed to provide a comprehensive
introduction to the fundamental concepts of modern mathematics and
is appropriate for students who wish to pursue a career teaching at
the community or junior college level or for those who intend to
enter a doctoral program. The degree requires 30 semester hours of
course work that must include the two-semester introductory courses
in algebra, topology, and real analysis and one semester of complex
analysis. In addition, students are required to complete one upper
level sequence in algebra, topology, differential geometry,
differential equations, real or complex analysis. Electives can be
chosen from other graduate level courses in mathematics.
Master of Science in Statistics
The M.S. program in statistics gives students training in
methodology of applied statistics and also provides a solid
foundation in statistical theory. Students' skills in applied
statistics are developed through project oriented courses,
statistical computing emphasizing S+ and SAS, and
faculty supervised experience in the Department's statistical
consulting service. Through the statistical consulting service
students gain first hand experience assisting with the statistical
analysis of problems that come from local institutions such as the
Medical College of Ohio and The UT Center for Applied Pharmacology,
and from local industries. The program requires 32 semester hours
of courses. Among the required courses are applications of
statistics, statistical inference, linear statistical models,
multivariate analysis, statistical computing, non-parametric
statistics, categorical data analysis, statistical consulting, and
sample survey methods and theory.
Master of Science in Applied Mathematics
The M.S. program in Applied Mathematics offers students a
rigorous introduction to the fundamental tools of applied
mathematics, with particular emphasis on differential equations and
numerical analysis. The program requires 30 semester hours of
course work that includes year-long courses in real analysis,
numerical analysis, and differential equations and a semester
course in complex analysis. Elective courses can be chosen from
graduate courses in applied areas such as linear, nonlinear and
dynamic programming, convex analysis, calculus of variations,
applied functional analysis, and optimal control. A recently added
Industrial Mathematics track allows students to take six of their
elective hours in approved courses in the departments of Physics,
Chemistry, Biology, Economics, Engineering, ISOM, Business or
Earth, Ecological and Environmental Sciences. A major component of
this track is a project report (to serve as a thesis) which
contains a solution to a practical "real-life" problem drawn from a
company, university department or government unit.
Master of Science and Education
The M.S.E. degree is offered jointly by the Department of
Mathematics and the College of Education and Allied Professions,
and is appropriate for secondary school teachers seeking graduate
training in Mathematics. At least 18 semester hours of mathematics
courses are required which must include algebra, linear algebra,
geometry, probability and statistics, logic, and analysis. At least
9 hours of education courses are required.
Master's Examinations and Theses
All masters programs culminate in a written comprehensive
examination or a thesis project.
The M.A. and M.S.E exams consist of three 2-hour parts while the
M.S. comprehensive examinations consist of two 3-hour parts. In the
M.S. (statistics) program, one of these parts is a statistical
computing project that is completed over a number of days. The exam
parts are generally scheduled a week apart in the student's fourth
semester of study. Students in the M.A. and M.S. applied programs
who intend to pursue a doctoral degree in the department may also
satisfy the M.A. and M.S. exam requirements by passing the
corresponding doctoral exam at the M.A. or M.S. level.
The thesis option is available in the M.A. and M.S. (applied
mathematics) programs only. Thesis writing and research takes place
during the student's second year of study under the supervision of
a faculty adviser. Recent master's thesis topics include:
"applications of nonlinear programming to optimal control", "exotic
containers", "closed geodesics on Jacobi surfaces", and
"matroids".
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