# PhD Degree Requirements

### First Year Examination

Pass three parts of the First Year Exam, including at least one of the first four parts listed below, at least one of the last four parts listed below, and one of the exams on MAA 5228, MAA 5229, MAS 5311, MAS 5312 with grades of Pass or High Pass.

- MAA 5228 Modern Analysis 1
- MAA 5229 Modern Analysis 2
- MAD 6407 Numerical Analysis
- MTG 5316 Introduction to Topology 1
- MTG 5317 Introduction to Topology 2
- MAD 6406 Numerical Linear Algebra
- MAS 5311 Introduction to Algebra 1
- MAS 5312 Introduction to Algebra 2

After completing one of the core courses, a student may take the corresponding part of the First Year Exam only the first three times the exam is offered. The exam section of Candidacy and Satisfactory Progress has deadlines by which the parts must be passed.

### 2. Language proficiency

Demonstrate proficiency in reading mathematical works in French, German or Russian by receiving a grade of Pass on an exam by a member of one of the departmental language exam committees or by scoring in the 40th percentile or higher on the corresponding ETS language exam.

### 3. Qualifying Examination

Pass the written and oral parts of the Qualifying Examination.

The written part of the exam is chosen with advice from the Supervisory Committee from the list exams given by departmental committees in the following areas: Algebra, Analysis, Combinatorics, Complex Analysis, Differential Geometry, Ergodic Theory and Dynamical Systems, Functional Analysis, Logic, Numerical Analysis, Partial Differential Equations, Probability, and Topology. The Ph.D. exams are administered in May and August each year, and each written Ph.D. exam may be taken at most twice.

The oral exam is conducted by the Supervisory Committee. It is scheduled only after the written part has been passed. It focuses on the intended area of research and includes other appropriate material at the Supervisory Committee’s discretion.

### 4. Research and Dissertation

Conduct research under the guidance of a faculty member and prepare, present and defend a dissertation which shows independent investigation and is acceptable in form and content to the Supervisory Committee and the Graduate School.

### 5. Courses and Grades

Complete 90 credits of graduate work, including MAS 5311-2 and MAA 5228-9 or equivalent, with a minimum of 36 credits in 6000+ graduate mathematics courses for the extent part of the distribution requirements, and fulfill the breadth part of the distribution requirements by completing sequences in two of the following four categories, two semesters in a third, and a semester in the fourth (see distribution requirements for a list of suitable courses):

- Algebra, Combinatorics and Number Theory
- Analysis
- Applied Mathematics
- Topology and Foundations

Achieve a grade point average of 3.0 or better in all course work and a grade point average of 3.0 or better in all course work in mathematics.

### 6. Teaching requirement

Teach a minimum of two semesters at the college level.

### 7. Residence Requirement

Complete 30 credits enrolled at the University of Florida campus beyond the first 30 credits counted toward the doctoral degree.

### Remarks

- The section on Candidacy and Satisfactory Progress has information on expected timing of the various milestones.
- The Department of mathematics also offers PhD Comajor with Statistics
- The requirements for the PhD degree changed on May 18, 2012. The rules below may still be applied to students who have enrolled or signed up for the PhD program in Mathematics prior to May 18, 2012: PhD requirements prior to May 18, 2012