Graduate Catalog
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Mathematical Sciences

IRENA LASIECKA, PhD
Chair
373 Dunn Hall
(901) 678-2482


RALPH FAUDREE, PhD
Graduate Coordinator (Mathematics)


EBENEZER O. GEORGE, PhD
Graduate Studies Coordinator (Statistics)

E-mail: gradstudies@msci.memphis.edu

www.msci.memphis.edu

I. The Department of Mathematical Sciences offers graduate programs leading to the Master of Science and Doctor of Philosophy degrees with a major in Mathematical Sciences.

The areas of concentration for the MS degree are Applied Mathematics, Mathematics, Teaching of Mathematics, and Statistics. Within the MS degree, students may complete up to twelve credit hours in a collateral area approved by their advisor.

The areas of concentration for the Doctor of Philosophy degree are Applied Statistics and Mathematics.

 All graduate students must comply with the general requirements of the Graduate School (see Admissions Regulations, Admission on International StudentsAcademic Regulations, and Minimum Degree Requirements) as well as the program requirements of the degree being pursued.

II. MS Degree Program, with concentrations in Applied Mathematics, Mathematics, Teaching of Mathematics, and Statistics.

Program objectives are (1) development of thorough background in mathematical sciences, including retention and integration of core knowledge; (2) development of research skills in mathematics; and (3) development of interdisciplinary opportunities and good oral and written communication skills.

A. Program Prerequisites

  1. GRE scores are required and are an important factor for admission.
  2. Two letters of recommendation.
  3. TOEFL scores are required for students whose native language is not English.
  4. An undergraduate degree with a minimum GPA of 2.5 on a 4.0 scale.

B. Program Requirements

  1. At least 24 credit hours at the 7000 level
  2. A passing grade on a comprehensive examination
  3. Each of the concentration areas has additional program prerequisites and requirements, which are given below.
  4. Mathematics Concentration
    1. Prerequisite: An undergraduate degree with a major in mathematics or equivalent training.
    2. Requirements
      1. Satisfactory completion of 33 credit hours of graduate course work in a program approved by the department.
      2. Satisfactory completion of at least 21 credit hours of graduate course work in mathematics (A typical program will include at least two of the following two-course sequences: MATH 7350-7351, 7261-7262, 7411-7361.)
      3. Up to 3 credit hours from graduate level seminars may be applied to satisfy degree requirements.
      4. Courses designed for the “Teaching of Mathematics” concentration cannot be used to satisfy degree requirements.
  5. Applied Mathematics Concentration
    1. Prerequisite: An undergraduate degree with a major in mathematics or equivalent training. Students should have some background in differential equations and linear algebra. Students whose major was in a related field but not mathematics will be considered on a case-by-case basis.
    2. Requirements
      1. Satisfactory completion of at least 33 credit hours of graduate course work in a program approved by the department.
      2. MATH 7350 is a required course.
      3. Satisfactory completion of at least 21 credit hours of graduate course work in applied mathematics/mathematics. This course work must include at least 12 credit hours in the following broadly defined core categories:
        Calculus of Variations and Optimization
        Control Theory
        Differential Equations
        Financial Mathematics
        Mathematical Physics
        Modeling, Numerical Analysis and Scientific Computation

        At least 6 of these 12 credit hours must be taken in the same core category. MATH 7996 does not count towards the required credit hours in the core categories.

      4. Up to 3 credit hours from graduate level seminars may be applied to satisfy degree requirements.

      5. Courses designed for the “Teaching of Mathematics” concentration cannot be used to satisfy degree requirements.

      6. Students may choose a thesis or non-thesis option. Non-thesis Option – Each student must pass a final written four-hour comprehensive examination which may be broken into several parts at the department’s discretion. The written comprehensive examination covers topics contained in MATH 7350, 6 credit hours of course work in one of the core categories (see item 3. in Requirements) and 3 credit hours of additional relevant course work approved by the department. Thesis Option – Each student must enroll in at least 3 credit hours of MATH 7996 and submit a written thesis acceptable to the student’s advisory committee. A student must present and defend the thesis before the student’s advisory committee. The oral defense of the thesis will encompass material contained in the thesis and learned during course work and will count as the comprehensive examination. Up to 6 credit hours of MATH 7996 can be used to satisfy degree requirements.

        NOTE: Students should familiarize themselves with the Thesis/Dissertation Preparation Guide before starting to write.

  6. Statistics Concentration
    1. Prerequisites: three semesters of calculus and one semester of linear algebra.
    2. Requirements
      1. Satisfactory completion of 30 credit hours of graduate course work with a thesis or 33 credit hours of graduate course work without a thesis in a program approved by the department.
      2. Satisfactory completion of the following courses: MATH 7642, 7643, 7647, 7654, 7685, 7762, and either MATH 7645 or MATH 7657, either MATH 7660 or MATH 7670.
      3. Graduate students in the Department of Mathematical Sciences may not receive credit for both MATH 6637 and MATH 7643.
      4. Up to 3 credit hours from graduate level seminars may be applied to satisfy degree requirements.
      5. Courses designed for the “Teaching of Mathematics” concentration cannot be used to satisfy degree requirements.
  7. Teaching of Mathematics Concentration
    1. Prerequisite: In addition to the general prerequisites for the MS Degree program, students will be required to have an undergraduate degree in mathematics or the equivalent.
    2. Requirements
      1. Satisfactory completion of at least 33 credit hours of graduate course work in a program approved by the department.
        1. Core courses required for all students are: MATH 6151, MATH 7171, MATH 7174, MATH 7281; MATH 7282; MATH 7381; MATH 7382; MATH 7681; either ICL 7500 or ICL 7503.
        2. Elective courses must be approved by the department. Sample electives include: MATH 6242; MATH 6361; MATH 6411; MATH 7237; MATH 7996; ICL 7500; ICL 7503; ICL 7508.
      2. At least 27 hours must be at the 7000 or 8000 level and a minimum of 24 hours must be mathematics coursework (MATH 7996 does not count toward this requirement).
      3. Students may choose a thesis or non-thesis option.
        1. Thesis Option - Each student must submit a thesis acceptable to the student’s advisory committee. The thesis can be based on work done for Math 7996. A student may take 3-6 credit-hours in Math 7996; however, only 3 hours may be applied to the degree requirement. Students must complete a research project, submit a written thesis describing the research, orally present and defend the thesis before a faculty committee. Students are also required to earn a passing grade on a comprehensive written examination. The oral defense of the thesis will encompass material learned during course work and will count as the comprehensive examination. NOTE: Students should familiarize themselves with the Thesis/Dissertation Preparation Guide before starting to write.
        2. Non-thesis Option - Pass a final written and oral comprehensive examination which will be administered by the student’s Advisory Committee during the final semester of residence. The content for the comprehensive written examination will be based on the core curriculum of the program.

III. Accelerated BS/MS Degree Program, with concentrations in Applied Mathematics, Mathematics, and Statistics

This program allows outstanding undergraduates to complete both a Bachelor of Science degree in Mathematical Sciences and a Master of Science degree in Mathematical Sciences with concentration in Applied Mathematics, Mathematics or Statistics. Students admitted into the program will follow a carefully designed program of study which allows them to begin course work for the Master of Science program during their senior year. Interested students are encouraged to consult with their undergraduate advisor in the Department of Mathematical Sciences and to begin planning to enter the accelerated BS/MS degree program early in their undergraduate career. Through careful coordination with their undergraduate and graduate advisors students will be able to graduate with both a bachelor’s and master’s degree within a five year period.

To apply, students must have finished 18 credit hours of course work in mathematics by the end of the semester of their application. Applicants must have a cumulative GPA of 3.00 (on a 4.0 scale) as well as a GPA of 3.30 (on a 4.0 scale) in their mathematics courses. The initial application for the accelerated BS/MS degree program consists of the following two parts:

  1. A letter of intent including two letters of reference and a copy of the applicant’s transcript to be submitted to the Department of Mathematical Sciences
  2. Application with the Graduate School for “combination senior” status

To continue in the program beyond the bachelor’s degree, students must also apply for full admission into the Graduate School and be accepted into the master’s program by the Department of Mathematical Sciences.

Up to 9 hours of graduate course work may be applied to both the undergraduate and graduate programs. Details on courses that can be applied will be available in the Department of Mathematical Sciences. However, any graduate course work will not be used to calculate the undergraduate GPA.

IV. PhD Degree Program

A. Admission Requirements

  1. GRE scores are required and are an important factor for admission.
  2. Three letters of recommendation
  3. TOEFL scores are required for students whose native language is not English.
  4. An undergraduate degree in an appropriate discipline with a minimum GPA of 2.5 (on a 4.0 scale) or equivalent preparation

B. Program Requirements

  1. The doctoral degree program requires satisfactory completion of a minimum of 72 credit hours of graduate credit (a minimum of 36 hours for a student entering with an approved master’s degree). The 72 hours:
    1. may include a maximum of 12 hours of 6000 level coursework, but must include at least 18 hours of 8000 level course work;
    2. may include between 9 and 15 hours of dissertation (9000); 
    3. cannot include courses designed for the “Teaching of Mathematics” concentration, and
    4. must include the satisfactory completion of one of the concentration requirements listed below.
  2. Each student must:
    1. obtain a passing grade on a qualifying examination;
    2. obtain a passing grade on a comprehensive examination;
    3. complete an acceptable dissertation (Students should familiarize themselves with the Thesis/Dissertation Preparation Guide before starting to write.); and
    4. pass a final examination given by a committee composed of departmental and university representatives.
      Detailed information can be obtained by contacting the graduate coordinator of the department.
  3. Mathematics Concentration
    1. The PhD concentration in mathematics is designed so that students may pursue a degree based on independent research or may choose a more broadly based program aimed toward a college teaching career. Students may contact the department for more detailed information.
  4. Applied Statistics Concentration
    1. Students must complete the following courses: MATH 7-8642, 7-8651, 7-8670, 7-8692, 7-8695, and two courses from MATH 7-8759, 7-8763, 7-8764, and 7-8765. In addition, students are required to give at least two formal presentations through taking MATH 7-8691
    2. Presentation of an acceptable dissertation proposal within six months after passing the comprehensive examination. Students should familiarize themselves with the Thesis/Dissertation Preparation Guide before starting to write.

MATHEMATICS (MATH)

In addition to the courses below, the department may offer the following Special Topics courses:
MATH 6010-19. Special Topics in Mathematics and Statistics. (1-3). Topics are varied and announced in online class listings. PREREQUISITE: Permission of instructor.

MATH 7020-49–8020-49. Special Topics in Mathematics (3).


MATH 7630-7639-8630-8639. Special Topics in Statistics. (1-3).
Topics are varied and announced in online class listings.