- 1.
- The examination will consist of two closed-book, written tests, each of duration three hours.
- 2.
- One test is over Linear Algebra. The second test depends on the
student's area of concentration:
- Applied Mathematics: Real Analysis
- Discrete Mathematics: Abstract Algebra or Combinatorics
- Statistics: Probability

- 3.
- The two tests will be administered within a seven-day period and may be on consecutive days, but may not be on the same day.
- 4.
- The examination will be given in August (before the fall semester) and January (before or during the first week of the spring semester).
- 5.
- Students must pass the Qualifying Examination by January of their second full year in the PhD program at MTU.
- 6.
- Each test will be graded by a committee of two or more faculty members, which will grade each paper on a pass/fail basis. If the committee is unable to agree on whether a particular paper should be graded as pass or fail, then the Director of Graduate Studies shall appoint an arbitrator.
- 7.
- In order to pass the Qualifying Examination, a student must pass the two individual tests at a single administration. A student who either of these tests will be required to take and pass the full examination at the next administration.
- 8.
- A student failing to pass the Qualifying Examination within the time limit is eligible to complete a masters degree (if applicable), but is not eligible to continue in the PhD program.
- 9.
- Each test will follow the corresponding syllabus (attached).
- 10.
- The Director of Graduate Studies will maintain a collection of tests from previous years. The syllabi and the test bank will be available to students at all times.
- 11.
- The Director of Graduate Studies shall apply these rules. If a dispute arises, the final interpretation shall be made by the Graduate Committee.