USC Catalogue 20172018 [ARCHIVED CATALOG]
Applied Mathematics (PhD)


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Application deadline: December 15
The program requires a maximum effort by the student for a minimum of four years of fulltime work.
Screening Procedure
The screening examination consists of four onehour examinations covering the subject content of: MATH 502a Numerical Analysis ; MATH 505a Applied Probability (or, at the student's discretion, MATH 507a Theory of Probability ); MATH 525a Real Analysis ; and MATH 541a Introduction to Mathematical Statistics .
The department offers the examinations twice a year, at the end of summer and at the beginning of the spring semester. All four parts of the screening examination must be attempted by the end of the third semester (not counting summer sessions) in the program. The students may take each of the exams as many times as they wish, but three of the exams must be successfully completed by the end of the fourth semester (not counting summer sessions) and all four must be successfully completed by the end of the sixth semester in the program. The qualifying examination should follow two or three semesters after the successful completion of the screening procedure.
Qualifying Exam Committee
No later than at the end of the first semester after passing the screening procedure the student must form a qualifying exam committee consisting of an adviser and four other faculty members, including at least one from another department.
Qualifying Examination
The written portion of the qualifying examination consists of a PhD dissertation proposal. This document should include: introduction, statement of the problem, literature survey, methodology, summary of preliminary results, proposed research, references, appendix (including one or two fundamental references).
The oral portion of the qualifying examination consists of a presentation of the PhD dissertation proposal. The student must demonstrate research potential.
