Diploma Necessities | Ph.D. in Arithmetic Graduate Handbook | Division of Arithmetic and Statistics


Course work

Candidates for the diploma of Physician of Philosophy should fulfill all common necessities of the Graduate College. These embrace

  • Completion of a minimal of 72 hours of graduate credit, together with at the least 48 hours after all work.
  • At the least 30 of the course credit should be on the 700 degree, and at most 24 could also be dissertation credit.
  • Completion of at the least six (6) graduate credit per semester for college students holding 20 hr/week assistantships, or 9 (9) graduate credit for college students not holding 20 hr/week assistantships, throughout two consecutive semesters, to satisfy the Graduate College doctoral residency requirement.

Required programs

The next programs or their equivalents should be satisfactorily accomplished for the doctoral diploma in arithmetic.

Required Programs for College students in Pure Arithmetic

  • MATH 713, Summary and Actual Evaluation I (3 items),
  • MATH 715, Advanced Operate Principle I (3 items),
  • MATH 731, Trendy Algebra I (3 items),
  • MATH 741, Topology I (3 items).

Required Course for College students in Utilized Arithmetic

  • MATH 713, Summary and Actual Evaluation I (3 items),
  • MATH 736, Numerical Linear Algebra (3 items),

and two programs from amongst

  • MATH 705, Utilized Purposeful Evaluation (3 items),
  • MATH 715, Advanced Operate Principle (3 items),
  • MATH 735 – Superior Linear Algebra (3 items),
  • MATH 751 – Operations Analysis I (3 items).

Dissertation credit and accredited electives

  • MATH 799 – Dissertation (24 credit required)
  • Authorised electives, based mostly on analysis pursuits (elective, as much as 21 credit)
  • 12 credit score most of impartial research (elective)

Electives and switch of MS coursework

Electives will probably be accredited by the scholar’s Dissertation Committee. Applicable programs outdoors the Division of Arithmetic and Statistics could also be accredited, relying on the scholar’s analysis pursuits.

College students coming into with a grasp’s diploma could obtain as much as 30 credit for earlier course work (excluding thesis credit), and these credit could fulfill some course necessities with the approval of the Graduate Director.

Qualifying exams

After the 1st 12 months, and ideally by the tip of their 2nd 12 months, however no later than by the tip of their 3rd 12 months, each scholar should cross three written Qualifying Exams. The aim of the Qualifying Exams is to confirm that the scholar has acquired the required common information to function the idea for her/his dissertation analysis.

Every Qualifying Examination will probably be based mostly on a syllabus of subjects, accessible by request from the Graduate Director. The syllabi are based mostly on materials coated in lessons related to every topic; the lessons for every examination are listed beneath. The syllabi may embrace foundational materials from the undergraduate curriculum. Every Qualifying Examination is a 3 hour lengthy, written examination, and the exams will probably be supplied at the least as soon as per semester.

College students specializing in Pure Arithmetic should take and cross exams in

  • Evaluation (based mostly on both MATH 713/714, or on MATH 713/715),
  • Algebra (based mostly on MATH 731/732), and
  • Topology (based mostly on MATH 641/741/742).

College students specializing in Utilized Arithmetic should take and cross the examination in

  • Evaluation (based mostly on MATH 713/715, or based mostly on MATH 705/713),

one examination from amongst

  • Linear Algebra (based mostly on MATH 735/736),
  • Operations Analysis (based mostly on MATH 687/751/752),

and one examination from amongst

  • Numerical Evaluation (based mostly on MATH 701/702),
  • Nonlinear Dynamics (based mostly on MATH 721/722),
  • Strategies in Utilized Arithmetic (based mostly on MATH 761/762).

College students will probably be allowed a most of two makes an attempt at every of the exams within the first three years of the Ph.D. program. Every examination may be handed at M.S. degree (low cross) or Ph.D. degree (excessive cross). To proceed with the Ph.D. program all exams should be handed on the Ph.D. degree. If all exams are handed at the least on the M.S. degree however not all on the Ph.D. degree, and different necessities for the M.S. diploma are glad, the scholar will finish her/his program with an M.S. diploma in Arithmetic.

M.S. diploma alongside the best way to Ph.D.

College students within the Ph.D. program in Arithmetic could earn an M.S. diploma in Arithmetic alongside the best way to their Ph.D. by satisfying the present M.S. diploma necessities. College students qualify within the semester wherein all diploma necessities for the grasp’s diploma have been met. College students could not obtain a grasp’s diploma alongside the best way to the Ph.D. if the scholar has earned a earlier grasp’s diploma at any time and items from that diploma are counted in direction of the Ph.D.

In addition to the course necessities for the M.S. diploma, the scholar should write a Grasp’s Thesis (and take the required 6 M.S. thesis credit, which is not going to depend towards her/his Ph.D. diploma), or cross the Complete Examination (based mostly on 4 700-level programs, certainly one of which should be MATH 713). 

Admittance to candidacy

To be admitted into Ph.D. candidacy, after efficiently finishing the primary two years of coursework and passing three written Qualifying Exams, a scholar should cross the Oral Examination within the space of specialty. College students will probably be anticipated to finish their oral examination by the tip of their 7th semester. The examination is directed by the scholar’s Dissertation Advisor and Dissertation Committee.

Ph.D. dissertation

A scholar will put together a Ph.D. dissertation supervised by the Dissertation Advisor and accredited by the scholar’s Dissertation Committee, adopted by an oral public presentation. The dissertation is then submitted to the Graduate College for approval.

Graduate college tutorial necessities

Good standing

Every graduate course should be accomplished with a grade of “C” or higher for the credit score to be acceptable towards a complicated diploma.

As well as, college students should keep good standing with an general cumulative graduate credit score GPA of at the least 3.0 on a scale of 4.0. College students will need to have a minimal GPA of three.0 in an effort to meet commencement eligibility. All graduate college students should keep a cumulative graduate GPA of three.0. If their GPA drops beneath 3.0, they’re both positioned on probation or dismissed. Undergraduate programs is not going to depend in direction of the graduate GPA.


If the scholar’s cumulative graduate GPA drops between 2.31 and a couple of.99, the scholar is positioned on probation. The coed should then elevate her/his cumulative graduate GPA to three.0 by the tip of the next semester or the scholar will probably be dismissed from graduate standing. Thesis, dissertation, S/U graded credit, and switch credit haven’t any impression on a scholar’s GPA.


If the cumulative graduate GPA drops 2.30 or decrease, the scholar is dismissed from graduate standing, or if the cumulative graduate GPA stays beneath 3.0 for 2 (2) consecutive semesters, the scholar is dismissed from graduate standing.

Dismissed college students are not in a graduate program however could take graduate programs as a Grad Particular. College students wishing to finish their diploma should get hold of approval to take graduate-level programs, elevate their graduate GPA to at the least 3.0 after which reapply to a graduate program. Any programs taken to boost their GPA will probably be included within the graduate particular/switch credit score limitation (9 credit for grasp’s levels).


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