Twin Cities campus

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Twin Cities Campus

Mathematics Ph.D.

School of Mathematics
College of Science and Engineering
Link to a list of faculty for this program.
Contact Information
127 Vincent Hall, 206 Church Street S.E., Minneapolis, MN 55455 (612-624-6391; fax: 612-624-6702)
  • Program Type: Doctorate
  • Requirements for this program are current for Fall 2014
  • Length of program in credits: 60
  • This program does not require summer semesters for timely completion.
  • Degree: Doctor of Philosophy
Along with the program-specific requirements listed below, please read the General Information section of this website for requirements that apply to all major fields.
The School of Mathematics offers a Ph.D. in mathematics, and a Ph.D. in mathematics with emphasis in applied and industrial mathematics. Special areas of research include ordinary and partial differential equations; probability; real, complex, harmonic, functional, and numerical analysis; differential and algebraic geometry; topology; number theory; commutative algebra; group theory; logic; combinatorics; mathematical physics; and applied and industrial mathematics, mathematical biology, and dynamical systems.
Program Delivery
  • via classroom (the majority of instruction is face-to-face)
Prerequisites for Admission
Undergraduate degree in mathematics or equivalent.
Other requirements to be completed before admission:
Applicants should have the prerequisite material of abstract algebra and real analysis, and should be ready for graduate level courses in Mathematics. The GRE Math Subject test is strongly recommended
International applicants must submit score(s) from one of the following tests:
  • TOEFL
    • Internet Based - Total Score: 100
    • Internet Based - Speaking Score: 23
Key to test abbreviations (TOEFL).
For an online application or for more information about graduate education admissions, see the General Information section of this website.
Program Requirements
24 credits are required in the major.
12 credits are required outside the major.
24 thesis credits are required.
This program may be completed with a minor.
Use of 4xxx courses towards program requirements is not permitted.
Language Requirement: French, German, Italian, or Russian
A minimum GPA of 3.00 is required for students to remain in good standing.
The Ph.D. requires 24 credits in mathematics core courses, 12 credits in a minor or supporting field, and 24 thesis credits. If a supporting program is chosen, it may consist partly or entirely of mathematics courses outside the student's major research area. Mathematics core courses can be passed by examination; however, students who test out are still required to complete 12 course credits in mathematics and 12 credits in a supporting program to earn a Ph.D. The Ph.D. preliminary written examination, given twice each year, covers real analysis, complex analysis, algebra, and manifolds and topology. Students are expected to pass the exam by the end of their second year. After passing the exam and completing required coursework, students may take the preliminary oral exam, which they are expected to pass by the end of their fourth year. Reading proficiency is required in one of the following: French, German, Italian, or Russian For more information, see the program's website at www.math.umn.edu/grad.
 
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