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Department of Mathematics College of Arts and Sciences
Mathematics Fast Track Program LEARN MORE

Typical Curriculum for the Doctor of Philosophy Degree

The current curriculum contains regular courses only. All courses are 3 credit hours. The grade for each course must be an A or B. Research hours are Pass/Fail. The description of the courses can be found in the Graduate Catalog.

Occasionally, other optional courses can be taken and counted towards the degree.

Modifications are possible with the approval of your graduate committee and the graduate program director. For more information, please, contact the graduate program director Dr. Yulia Karpeshina at This email address is being protected from spambots. You need JavaScript enabled to view it..

Year I

Fall

  • MA 640: Mathematical Analysis I. Required.
  • MA 631: Linear Algebra. Required.
  • MA 685: Probability Theory. Required.

Spring

  • MA 641: Mathematical Analysis II. Required. Prerequisite: MA 640. Minimum grade: B
  • MA 660: Numerical Linear Algebra. Required. Prerequisite: MA 631. Minimum grade: B
  • MA 670: Topology I. Required. Prerequisite: MA 631. Minimum grade: B

Summer

  • MA 642: Calculus of Several Variables. Required. Prerequisite: MA 541. Minimum grade: B
  • MA 637: Graph Theory and Combinatorics. Not required.
  • MA 688: Advanced Statistics. Not required. Prerequisite: MA 585 or MA 587. Minimum grade: B

Year II

Fall

  • MA 650: Differential Equations. Required. Prerequisite: MA 642. Minimum grade: B
  • MA 648: Complex Analysis. Required. Prerequisite: MA 642. Minimum grade: B
  • MA 645: Real Analysis I. Required. Prerequisites: MA 642 and MA 670. Minimum grade: B

Spring

  • MA 646: Real Analysis II. Required. Prerequisite: MA 645. Minimum grade: B
  • MA 655: Partial Differential Equations. Required. Prerequisite: MA 642 or MA 650. Minimum grade: B
  • MA 687: Advanced Probability. Required. Prerequisite: MA 585. Minimum grade: B

Summer

  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Year III

Fall

  • MA 668: Numerical Analysis I. Required.
  • 3 credit hours: A course in Minor. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Spring

  • MA 632: Abstract Algebra. Required.
  • 3 credit hours: A course in Minor. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Summer

  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Year IV

Fall

  • 3 credit hours: A course in Minor. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Spring

  • 3 credit hours: A course in Minor. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.
  • 700 level, 3 credit hours: Special reading topics, Non-Diss Research/Comp Prep, or Dissertation Research. Required.

Year IV Summer; Years V, VI

MA 798: Non-Dissertation Research and Preparation for Comp and MA 799: Dissertation Research. At least two semesters have to be spent in candidacy. At least 12 hours of MA 798 and 12 hours of MA 799 are necessary (MA 798 can be substituted by MA 799).