Computational Mathematics, Ph.D.
The PhD in Computational Mathematics requires a minimum of 60 credit hours, including 39-42 credits of coursework in mathematics or related area and 18-21 credits of dissertation.
For information regarding deadlines and requirements for admission, please see the Guide to Graduate Admissions.
In addition to the application materials required by The Graduate School, applicants must submit a 500-700 word Personal Statement to be considered for Fall admission.
Students with a master’s degree in mathematics, computer science or statistics may apply directly to the PhD program. In exceptional cases well-qualified applicants will be considered for admission directly after completing an undergraduate degree in mathematics, computer science or statistics.
Degree Program Requirements
Required: Minimum 60 credit hours
Select 39-42 credit of coursework in mathematics and related areas *
With approval of the Director of Graduate Study. Up to 12 credits may be accepted from UNCG's MA in Mathematics program or from a comparable master's program with approval of the Director of Graduate Study.
Qualifying examinations, covering a student’s chosen field of research and related advanced coursework, must be taken after the student has removed any provisions or special conditions attached to admission; two exams should be passed prior to the beginning of the fifth semester. These examinations each cover the material of one of the following two-course sequences:
|Linear Algebra and Matrix Theory|
|Linear Algebra and Matrix Theory|
The preliminary exam is held in two parts: written and oral. The exam is constructed by a committee appointed by the Director of Graduate Study in consultation with the student's advisor and the Department Head. The exam covers material from at least three courses in addition to the qualifying exam courses. Students have at most two attempts to pass the preliminary exam. Students must have unanimous support of the committee to pass the exam.
The student must complete a programming project of such quality that it can become part of a computer algebra system, could be distributed as a package for a computer algebra system, or yields new mathematical data.
Other Reviews and Examinations
After the student has passed the qualifying examinations, has chosen a dissertation advisor, and passed the preliminary examination, they form a dissertation committee in consultation with the Director of Graduate Study. With the help of the supervisor, the student proposes a dissertation topic in a public oral presentation. In this presentation, the student explains his or her dissertation topic in sufficient detail to demonstrate capability to begin research.
At the conclusion of the presentation, the dissertation committee will administer an oral exam to determine the student’s competence to begin work on the dissertation. A part of the exam is the computational/programming project. This project should clearly demonstrate that the student is fully capable of handling computational aspects of the intended dissertation topic. After passing this examination, the student may then make a formal application to the Graduate School for admission to candidacy. The dissertation proposal and oral exam can be attempted at most twice.
Schedule for Examinations and Projects
|Semester||Examination or Project|
|1-4||2 written qualifying examinations|
|4-7||Preliminary exam, dissertation proposal, computational/programming project, (oral examination)|
|6-14||Dissertation work and defense (oral examination)|