Mathematics

The normal time for completion of the Ph.D. program is five to six years. Requirement (1) often includes basic courses in algebra, analysis, and topology. Students typically complete the eight-course requirement by the end of their third year. The Honors grades of (1) must be achieved within the first two years. A sequence of three qualifying examinations (algebra and number theory, real and complex analysis, topology) is offered each term. All qualifying examinations must be passed by th...