Summary of Ph.D. requirements

Track	Courses Required	Exams	Research Skills	Enrollment Hours	Research Component
Pure	800, 810, 820, 830 One of 840, 910, 920 Four additional courses at 800 level or above.	Quals in algebra, analysis, and one in numerical analysis or probability/statistics by the beginning of the fifth semester. Preliminary by the beginning of the eighth semester. Comprehensive Oral Final Thesis Defense	One Foreign Language Computer Skill	At least six per semester during two semester minimum residency. 18 after oral comprehensive (at least six in fall and spring and at least three in summer). Continuous enrollment after that.	Thesis
Applied	727 or Qual in Probability/Statistics. 781 or Qual in Numerical Analysis. 800, 810 One of 850-851 or 865-866 or 881-882 One of 840, 850 or 950. Four additional courses at 800 level or above.		One Foreign Language Computer Skill		Thesis
	GTA/GRA must be enrolled in at least six hours in fall and spring. Non GTA/GRA international students must be enrolled in nine hours.