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2008-2009 Graduate Catalog - Catalog of Studies - University of ...

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The <strong>Graduate</strong> School Departments and Course Descriptions<br />

MANAGEMENT (MGMT)<br />

128<br />

See <strong>Graduate</strong> School <strong>of</strong> Business, page 189.<br />

MARKETING AND LOGISTICS (MKTL)<br />

See <strong>Graduate</strong> School <strong>of</strong> Business, page 190.<br />

MATHEMATICAL SCIENCES,<br />

Department <strong>of</strong> (masc)<br />

Chaim Goodman-Strauss<br />

Department Chair<br />

301 Science Engineering Building<br />

479-575-3351<br />

E-mail: strauss@uark.edu<br />

Mark Johnson<br />

<strong>Graduate</strong> Coordinator<br />

226 Science Engineering Building<br />

479-575-3351<br />

E-mail: markj@uark.edu<br />

http://math.uark.edu<br />

• Distinguished Pr<strong>of</strong>essor Schein<br />

• Pr<strong>of</strong>essors Akeroyd, Brewer, Capogna, Cochran, Feldman,<br />

Goodman-Strauss, Lanzani, Luecking, Madison, Ryan<br />

• Associate Pr<strong>of</strong>essors Arnold, Hogan, Johnson, Meaux, Meek,<br />

Petris, Rieck<br />

• Assistant Pr<strong>of</strong>essors Raich, Song, Tjani<br />

• Instructor Woodland<br />

Degrees Conferred:<br />

M.S. (MATH)<br />

Ph.D. (MATH) with concentrations in Mathematics and Statistics<br />

M.A. in Secondary Mathematics (SMTH)<br />

M.S. in Statistics (STAT) (See Statistics)<br />

Primary Areas <strong>of</strong> Faculty Research: Analysis, algebra, geometric topology,<br />

numerical analysis, statistics.<br />

Prerequisites to Degree Program: Prospective candidates for the Master<br />

<strong>of</strong> Science degree in Mathematics are expected to have completed a program<br />

equivalent to that required by the department for a B.S. degree, as set forth in<br />

the current catalog <strong>of</strong> the Fulbright College <strong>of</strong> Arts and Sciences. Deficiencies<br />

may be removed either by taking the appropriate undergraduate courses or by<br />

examination.<br />

The degree <strong>of</strong> Master <strong>of</strong> Science is intended for collegiate teachers <strong>of</strong><br />

mathematics, non-teaching pr<strong>of</strong>essional mathematicians, and those who desire<br />

to continue advanced study.<br />

Requirements for the Master <strong>of</strong> Science Degree: This degree is <strong>of</strong>fered<br />

under two separate options, a general option and a computational mathematics<br />

option. The general option is intended for students who plan to be collegiate<br />

teachers <strong>of</strong> mathematics, continue advanced study in mathematics, or obtain a<br />

broad background for preparation as a non-teaching pr<strong>of</strong>essional mathematician.<br />

The computational mathematics option is intended for students who<br />

intend to specialize in computational and applied mathematics in preparation<br />

for pr<strong>of</strong>essional employment in an interdisciplinary or computationally<br />

intensive environment.<br />

The program <strong>of</strong> a candidate will be determined in conference with the<br />

candidate’s graduate adviser. A comprehensive examination must be passed<br />

by each candidate for the Master <strong>of</strong> Science degree. It should be taken near<br />

the end <strong>of</strong> the last semester <strong>of</strong> residence. At least four weeks prior to the<br />

scheduled date, students must notify the department <strong>of</strong> their intention to<br />

take the examination. No student may take the comprehensive examination<br />

more than three times. MATH 5013, MATH 5033, and MATH 504V<br />

are not applicable to the Master <strong>of</strong> Science degree in mathematics. The<br />

program will include at least two semesters <strong>of</strong> one-hour credit in MATH<br />

510V Mathematics Seminar.<br />

The candidate for the general option must complete a minimum <strong>of</strong><br />

32 semester hours <strong>of</strong> approved graduate work. Students may include up to<br />

nine semester hours <strong>of</strong> graduate work in courses outside the department.<br />

All selected courses are subject to the approval <strong>of</strong> the <strong>Graduate</strong> Committee.<br />

The comprehensive examination for the general option will include material<br />

covered in six semester hours <strong>of</strong> graduate courses in each <strong>of</strong> 1) abstract algebra,<br />

2) topology, 3) real or complex analysis, and 4) an area chosen by the candidate<br />

and approved by the <strong>Graduate</strong> Committee. When there is a choice in the<br />

above list <strong>of</strong> topics, students shall make their choice not less than four weeks<br />

before the date <strong>of</strong> the examination.<br />

The candidate for the computational mathematics option must complete<br />

a minimum <strong>of</strong> 32 semester hours <strong>of</strong> approved graduate work. Students must<br />

include at least six but not more than twelve semester hours <strong>of</strong> graduate work in<br />

courses outside <strong>of</strong> mathematics. All selected courses are subject to the approval<br />

<strong>of</strong> the <strong>Graduate</strong> Committee. The comprehensive examination for the computational<br />

mathematics option will include material covered in six semester hours<br />

<strong>of</strong> graduate courses in each <strong>of</strong> 1) numerical analysis, 2) applied mathematics,<br />

3) analysis, algebra, or topology, and 4) an area other than mathematics chosen<br />

by the student and approved by the <strong>Graduate</strong> Committee.<br />

Requirements for the Master <strong>of</strong> Arts Degree with a Major in Secondary<br />

Mathematics: This program is designed for secondary school teachers <strong>of</strong><br />

mathematics. It requires 32 semester hours <strong>of</strong> graduate work.<br />

Prospective candidates for the Master <strong>of</strong> Arts degree in secondary mathematics<br />

are expected to have earned credit in courses equivalent to MATH<br />

2574, MATH 3083, MATH 3113, and MATH 3773. Deficiencies may be<br />

removed either by taking the appropriate courses or by examination.<br />

The candidate’s program must include MATH 4513, MATH 5123,<br />

two semesters <strong>of</strong> one hour credit in MATH 510V, and one <strong>of</strong> the following<br />

courses: MATH 5133, MATH 5303, MATH 5313, MATH 5503, MATH<br />

5523, or MATH 5703. Not more than 12 semester hours <strong>of</strong> credit toward this<br />

degree will be allowed from graduate courses in education. All courses selected<br />

to apply on this degree must be approved by the student’s adviser in accordance<br />

with the above requirements. Recommended courses include MATH 4103,<br />

MATH 4253, MATH 4353, MATH 4363, MATH 4523, and either STAT<br />

3013 or STAT 5103.<br />

Each person receiving the Master <strong>of</strong> Arts degree in secondary mathematics<br />

must pass a written examination covering 1) algebra, MATH 5123, 2) advanced<br />

calculus, MATH 4513, 3) geometry, and one other area <strong>of</strong> mathematics<br />

to be approved by the candidate’s adviser. The examination schedule is the<br />

same as for the Master <strong>of</strong> Science degree. No student will be allowed to take<br />

the examination more than three times.<br />

Requirements for the Doctor <strong>of</strong> Philosophy Degree: Candidates for<br />

the degree <strong>of</strong> Doctor <strong>of</strong> Philosophy with a major in mathematics will be<br />

required to earn not less than 60 semester hours <strong>of</strong> course credit beyond the<br />

bachelor’s degree in mathematics and closely related fields. The number <strong>of</strong><br />

hours and the courses for each student will be determined by the advisory<br />

committee. The candidate must fulfill the course requirements for the Master<br />

<strong>University</strong> <strong>of</strong> Arkansas, Fayetteville

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