# PhD Entrance Exam(MS Advanced Exam)

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## Ph.D. Entrance Exam (M.S. Advanced Exam)

For more information about the Ph.D. Entrance Exam, see the Graduate Handbook.

#### List of Exam Topics and Their Examiners (2010-2012)

1. Real Analysis: This exam covers, basically speaking, Lebesgue Measure and associated topics as are found in the first six chapters of the standard text "Real Analysis" by Royden. Questions from advanced calculus (e.g. Math 451-452) are also included on the exam. Examples of exams from previous years may be viewed by here and here. Note however, that these problems and similar sample problems are intended only as a general indication of problem topics and type.

Examiners:

- Harumi Hattori (hattori@math.wvu.edu)
- Dening Li (li@math.wvu.edu)

2. Algebra:This examination is based on topics outlined here, not on any specific texts or contents of any specific course taught at WVU. Various old exams can be found here and here.

Examiners:

- Jerzy Wojciechowski (jerzy@math.wvu.edu)
- Olgur Celikbas (olgur.celikbas@math.wvu.edu)

3. Topology: This exam cover topological spaces, separation axioms, metric space topology, continuity, connected spaces, and compactness. For more information on the topics and covered and some old exams, please look here.

Examiners:

- Chris Ciesielski (kcies@math.wvu.edu)
- Eddie Fuller (ef@math.wvu.edu)

4. Differential Equations: This exam covers intermediate ordinary differential equations at about the level of Brauer and Nohel. An outline of the topics covered can be found here. For more information about the exam, look here.

Examiners:

- Adrian Tudorascu (adriant@math.wvu.edu)
- Harry Gingold (gingold@math.wvu.edu)

Please send any questions or comments to gradprog@math.wvu.edu.