Departmental Requirements for the Ed.D. in Mathematics

Credit Requirements

A total of 90 hours above the B.S. degree is required, including credit hours for the Ed.D. thesis. At least 60 of these must be in the mathematical sciences.

Core Requirements

1.

Mathematics
All candidates for the Ed.D. degree are required to complete the following courses:

• Advanced Calculus I & II (Math 4143, Math 4153)
• Modern Algebra I & II (Math 4613, Math 5013)
• General Topology (Math 5303)

In addition the student must complete at least two of the following three sequences:

• Complex Analysis I & II (Math 5283, Math 5293)
• Real Analysis I & II (Math 5143, Math 5153)
• Algebra I & II (Math 5613, Math 5623)

 

2.

Statistics, Computer Science, and Numerical Analysis:
At least 6 graduate hours must be taken in either statistics, computer science, or numerical analysis. Normally, this requirement is satisfied by a pair of courses from the following list:

• Statistical Methods I & II (Stat 4013, Stat 4023)
• Applied Regression Analysis, Sample Survey Designs (Stat 4403, Stat 5043)
• Mathematical Statistics I & II (Stat 4203, Stat 4213)
• Operating Systems I, Data Structures and Information Processing (Comsc 4323,Comsc 4343)
• Computer Networks, Computer Organization and Architecture (Comsc 4283, Comsc 5113)
• Numerical Mathematics: Analysis, Linear and Nonlinear Programming ( Math 4513, Math 4553)
• Numerical Analysis for Linear Algebra & Differential Equations (Math 5553, Math 5543)
• Theoretical Numerical analysis (Math 6513)

3.

Education
The student must complete at least 15 hours of Educational Leadership (Edle) courses. Required courses are:

• Critical Issues in Higher Education (Edle 6230)
• Historical Development of Higher Education (Edle 6753)
• Academic Programs: Development and Implementation (Edle 6813)
• The Academic Department (Edle 6843)

Additional courses may be selected from the following:

• Supervision (Edle 6263)
• The Community Junior College (Edle 6683)
• Directed Readings (Edle 6850)
• Educational Systems, Design and Analysis (Edle 6853)

4.

Thesis Work
At least 10 hours of Math 6000 (thesis) are required.  

Comprehensive Examination in Mathematics

Before being admitted to candidacy the student must pass the Comprehensive Examination in the mathematical sciences. The exam covers the material approximated by the core mathematics courses and it should be taken within a year of completion of the core courses.

The student has several options for topics on which to be examined. In general, the student will be tested on the following topics:

• Complex Analysis (Math 5283, Math 5293)
• Real Analysis (Math 5143, Math 5153)
• General Topology (Math 5303)
• Algebra (Math 5613, Math 5623)
• Computer Science/Statistics/Numerical Analysis 6 hour sequence (selected by student)

Advanced Calculus (Math 4143, 4153) can be substituted for Complex Analysis or Real Analysis. If this substitution is not made, then Algebra can be replaced by Modern Algebra I (Math 4613) and Modern Algebra II (Math 5013).  

Qualifying Examinations

The Qualifying Examination is required by the Graduate College. The examination consists of two parts, one administered by the Department of Educational Administration and Higher Education and one administered by the Department of Mathematics.

Thesis Proposal

An outline of the proposed thesis research must be presented to the student's advisory committee  for approval. A written proposal is then filed with the Graduate College.

Foreign Language Requirement

None

Thesis

A thesis must be written according to Graduate College guidelines. The thesis consists of an original or expository research contribution to mathematics or mathematics education.

Graduate College Requirements

All requirements listed in the University catalog must be satisfied.