Degree Requirements:

For the degree of Doctor of Philosophy, the student is required to:

1. Complete with a grade of B or better a course of study approved by the department (students may transfer credits from another university only with the approval of both the department and the University Graduate Council)

2. Pass three preliminary examinations, covering basic material in algebra, analysis, and topology by the end of the second year.

3. Pass an advanced examination that covers material in the student's chosen field of specialization within a year of passing the preliminary exams.

4. Pass a reading examination in one foreign language chosen from French, German and Russian.

5. Write an original thesis on a topic chosen in collaboration with a Ph.D. advisor, and present an oral defense of the thesis acceptable to the department. In addition, a student is required to spend two years in full time study at Rice.

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