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Ph.D. Programs

Doctor of Philosophy in Mathematics

The program requires a minimum of 90 hours of graduate credit (i.e., 60 hours beyond the Master’s degree).

Program Requirements

  1. Students who are pursuing a Ph.D. in Mathematics must take eight of the twelve courses listed below. These eight courses must be selected so as to include at least two year- long sequences: Algebra: MATH 7330-7340; Analysis: MATH 7650- 7660; Complex Analysis: MATH 6610-7620; Topology: MATH 6510- 7520; Partial Differential Equations: MATH 7120 - 7130; Probability: MATH 7410 -7420.
  2. There are two major examinations in the Ph.D. program: the Qualifying Exam and the Preliminary Exam. The Qualifying Exam consists of two four-hour written tests, in two sequences of the student’s choice from the following: Algebra MATH 7330 - 7340, Real Analysis MATH 7650-7660, Complex Analysis  MATH 6610-7620, Topology  MATH 6510-7520, Partial Differential Equations  MATH 7120-7130, and Probability  MATH 7410-7420. After passing the Qualifying Exam, the Preliminary Exam is administered by the student’s Preliminary Committee. The Preliminary Exam consists of a written report and an oral exam. It is highly recommended that the topic of the Preliminary Exam is closely related to the student’s dissertation research.
  3. Ph.D. candidates must write an original dissertation, which is, in the judgment of the dissertation committee, of publishable quality. A student is granted the degree after she or he have passed the final oral examination in defense of the dissertation, obtained the dissertation approval from the dissertation committee, and the dissertation has been accepted from the Graduate College.

Doctor of Philosophy in Statistics

The program requires a minimum of 90 hours of graduate credit (i.e., 60 hours beyond the Master’s degree).

Program Requirements

  1. Students pursuing a Ph.D. in Statistics must take the following courses: Mathematical Statistics MATH 7450-7460; Computational Statistics MATH 7570-7580; Analysis: MATH 6650- 6660; Probability: MATH 7410. Four elective courses from: MATH 6440, MATH 6450, MATH 6460, MATH 6470, MATH 648, MATH 6710, MATH 6720, MATH 7400, MATH 7420, MATH 6820; and two elective courses from: STAT6200, STAT 6300, STAT 6340, and STAT 6750.
  2. There are two major examinations in the Ph.D. program: the Qualifying Exam and the Preliminary Exam. The Qualifying Exam consists of two four-hour written tests, in two sequences of the student’s choice from MATH 7410-7420, MATH 7450-7460, and MATH 7570-7580. After passing the Qualifying Exam, the Preliminary Exam is administered by the student’s Preliminary Committee. The Preliminary Exam consists of a written report and an oral exam. It is highly recommended that the topic of the Preliminary Exam is closely related to the student’s dissertation research.
  3. Ph.D. candidates must write an original dissertation, which is, in the judgment of the dissertation committee, of publishable quality. A student is granted the degree after she or he has passed the final oral examination in defense of the dissertation, obtained the dissertation approval from the dissertation committee, and the dissertation has been accepted from the Graduate College.

Graduate Courses

Please access graduate courses online at http://webap ps.bgsu.edu/courses/search.php. Graduate courses offered by the Department of Mathematics and Statistics use the prefix MATH.