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Graduate School

    The University of Maine
   
 
  Dec 11, 2017
 
 
    
2008-2009 Graduate Catalog [ARCHIVED CATALOG]


Mathematics



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The Department offers work leading to the degree of Master of Arts in Mathematics. The program outlined below offers the student three “pathways” or tracks for advanced study in mathematics: pure, interdisciplinary, and statistical. All paths provide both thesis and non-thesis options. At the time of admission, an interim advisory committee will be assigned to assist the student in developing a course of study consistent with both one of the three tracks and his/her specific needs and/or future plans. This committee will also monitor the student’s progress until s/he can formally establish his/her own advisory committee.

Some graduate courses are scheduled for alternate years. Individualized reading courses can be used to augment the available courses in order to develop a complete course of study. The Department has no language requirement.

Degree Requirements

  1. Base Requirements: All three tracks require at least 30 credit hours, including two semesters of the Graduate Research Seminar, MAT 590. Credits must be distributed as follows:
    1. Thesis Option: A minimum of 21 credit hours (of which 6 are thesis credits) must be at the graduate level. A program of study must be developed and approved by the student’s advisory committee. Upon completion of the course of study and the thesis, the student must present an oral defense of the thesis.
    2. Non-thesis Option: A minimum of 24 credit hours must be at the graduate level. Written comprehensive examinations must be taken in the semester prior to graduation; no oral examinations are required.
  2. Track Requirements: (All unspecified course work is by the student with the approval of his/her advisory committee.)
    1. Pure Mathematics - All students are required to take MAT 523, MAT 527, MAT 563 and at least two courses from MAT 531, 557, 577, and 587 as 12 of the required credit hours.
    2. Interdisciplinary Mathematics - All students are required to take MAT 523, MAT 527, and MAT 557 as 9 of the required credit hours. For both the Thesis and Non-thesis options, up to 12 of the remaining required credit hours may be taken in one or more other disciplines.
    3. Statistics - All students are required to take MAT 523, MAT 531, and MAT 532 as 9 of the required credit hours. In addition, students are encouraged to take a course in Linear Statistical Models through a 3-credit special topics course or reading course.

Admission to the Program

In addition to satisfactory performance of the candidate as an undergraduate, as evidenced by transcripts, letters of recommendation, and G.R.E. scores, the Department requires one semester of advanced calculus (equivalent to MAT 425) and one semester of abstract algebra (equivalent to MAT 463). Occasionally, students can be admitted with a deficiency in one of these areas if the deficiency is made up in the first year of graduate study. Application forms can be obtained from the Graduate School.

Five-year Program

The Department offers a five-year program of study which leads to both the bachelor’s and master’s degrees. Due to the alternate-year scheduling of our graduate courses, the program is designed so the student can take necessary graduate courses during his or her senior year. This is necessary if the student is to complete the requirements for the M.A. in one year of post-baccalaureate study. Contact the Department for further details.

Teaching Assistantships

A limited number of graduate teaching assistantships are available. The holder of a teaching assistantship is expected to spend approximately 17 hours per week either teaching a course or assisting a faculty member and working in the Math Lab, an open tutorial center. Contact the Department for further details.

Courses Allowable for Graduate Credit

Graduate credit will not be given for any course below 400. Normally, any MAT 400 level course listed in the course description section can be taken for graduate credit with the following exceptions: MAT 445, 425, 463.

Graduate Faculty

David M. Bradley, Ph.D. (University of Illinois, Urbana 1995), Associate Professor and Graduate Coordinator. Classical analysis, number theory, special functions, difference differential equations.

William O. Bray, Ph.D. (Missouri, 1981), Professor. Classical analysis, harmonic analysis.

Robert Franzosa, Ph.D. (Wisconsin, 1984), Professor. Applied topology.

Pushpa L. Gupta, Ph.D. (Wayne State, 1970), Professor. Statistics, biostatistics, reliability theory, multivariate analysis and modeling.

Ramesh C. Gupta, Ph.D. (Wayne State, 1970), Professor. Statistics, biostatistics, probability, stochastic processes, reliability theory, mathematical models. 

William Halteman, Ph.D. (Washington, 1980), Associate Professor. Biostatistics.

David Hiebeler, Ph.D. (Cornell, 2001), Assistant Professor. Mathematical ecology and epidemiology, modeling and simulation.

Andre Khalil, Ph.D. (Laval, 2004). Assistant Professor. Image analysis of computational modeling.

Andrew Knightly, Ph.D. (UCLA, 2000), Assistant Professor.

Sergey Lvin, Ph.D. (University of Moscow, Russia, 1977), Lecturer. Partial differential equations, applied mathematics.

Ali E. Ozluk, Ph.D. (Michigan, 1982), Professor. Analytic number theory.

Tod Shockey, Ph.D. (Virginia, 2000). Associate Professor. Mathematics education.

William M. Snyder, Ph.D. (Maryland, 1977), Professor. Number theory.


Associate Faculty

Eisso Atzema, Ph.D. (Utrecht, Netherlands, 1993), Lecturer. History of mathematics, geometry, mathematics education.

 

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