Qualifier Examination Information

All Ph.D. students must pass three examinations in different areas of advanced mathematics or statistics. Following is the relevant part of the Ph.D. program description:

Students must pass three written examinations. Two of these will be chosen from the areas Algebra, Combinatorics and Real Analysis. The third will be chosen from the areas Mathematical Modeling, Applied Statistics and Probability & Mathematical Statistics. Normally, these will be taken within a year of completion of the core coursework. These examinations need not be taken together. Usually, at most two attempts at passing this examination will be permitted. Students who wish to make a third attempt must petition the Graduate Studies Committee of the department for permission to do so.

Every year, the exams will be given in January and August. Each exam will be 3 1/2 hours long. The following examinations will be available in August 2008:

August 04 Mathematical Modeling
August 06 Combinatorics
August 08 Algebras
August 11 Applied Statistics

These examinations will be held in Natural Science Building in NS 333 from 12:00-3:30 PM.

The following exams will be available in May 2008:

May 07 Analysis
May 07 Mathematical Modeling
May 09 Combinatorics
May 12 Algebras
May 14 Applied Statistics

These examinations will be held in Natural Science Building in NS 333 from 12:00-3:30 PM.

Topics students are expected to know for each exam are listed below. Past exams and tips are available.

Algebra

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Applied Statistics

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Combinatorics

Suggested References

Also useful are the following Schaum's Outlines:

Mathematical Modeling

Suggested References

Probability & Mathematical Statistics

Suggested References

[1] George Casella and Roger L. Berger (1990), Statistical Inference, Brooks/Cole Pub. Co., 2nd ed. (2001) ISBN 0534243126
[2] Richard A. Durret, (1996), Probability: Theory and Examples, Duxbury Press, 2nd ed. (1995) ISBN 0534243185
[3] Jun Shao, Mathematical Statistics, Springer Verlag, 2nd ed. (2003) ISBN 0387953825

Real Analysis

Suggested References:

Another book that contains more elementary background information is the following.

Mathematical Physics

Suggested References