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## Policy on the Comprehensive and Honors Qualifying Examination in Mathematics

1. The Chair will appoint a member of the Department as comprehensives advisor, to be responsible for the Comprehensive and Honors Qualifying Examination in Mathematics and the Honors Qualifying Examination in Statistics..

2. The Comprehensive Examination will be administered early in the second semester of each year and, for those who must take it again, later in the same semester. The exam will have a three-hour time

limit. Each part of the exam will be graded by at least two members of the Department. Grades will be assigned in four categories: High Pass, Pass, Conditional Pass, and Fail.

3. The exam will consist of two parts, covering material from three courses. The core part will cover Multivariable Calculus (Math 211) and Linear Algebra (Math 271 or 272), and for the other part, the student has a choice of Algebra (Math 350) or Analysis (Math 355). Students are strongly encouraged to consult with their advisor about which course to choose. Syllabi for all of these courses are available from the departmental comps web site.

4. Students who wish to undertake an Honors program must take the exam (described in items 2 and 3 above) in their junior year and receive a High Pass on each part; in this way, the Comprehensive

Examination will function as a Qualifying Examination for the Honors program.

5. All Mathematics majors, except those who performed at the level of High Pass on the Honors Qualifying Examination as juniors, will be required to take the Comprehensive Examination in their senior

year. For these students, passing the Comprehensive Examination means getting at least a Pass on each part.

6. A rough rule-of-thumb is that a High Pass means 80% or better, a Pass means between 60% and 80%, a Conditional Pass means between 50% and 60%, and a Fail means 50% or lower. These

percentages are not fixed and may vary depending on the difficulty of the exam.

7. When a senior major gets a Conditional Pass on a part of the Comprehensive Examination, he or she will be given a set of problems that deal with those topics that gave the student the most difficulty on that part of the exam. The student will work on these problems in consultation with the comprehensives advisor and the student's advisor. It is not permissible to consult other people except with the permission of the comprehensives advisor. Within five weeks of taking the written exam, the student will present the

solutions orally to two faculty members chosen by the comprehensives advisor. The oral exam will also involve problems the student has not seen before which are similar to those the student has prepared. Upon successful completion of the oral exam, the student's grade on this part of the Comprehensive Examination will be changed to Pass. However, the grade will be changed to Fail if the oral exam is deemed unsuccessful by the faculty conducting the oral exam.

8. When a senior major takes the Comprehensive Examination and gets a grade of Fail on a part of the

exam, he or she will need to retake that part of the exam. If the retake involves only one part of the exam, the time limit is two hours when retaking the core and one hour when retaking the Algebra or

Analysis part of the exam. Note that a retake after failing a second time is governed by item 11 below.

9. When a junior major gets a High Pass on one part of the Honors Qualifying Examination and a Pass on the other part, he or she will be asked to retake only the part on which the Pass was obtained.

The time limit is two hours when retaking the core and one hour when retaking the Algebra or Analysis part of the exam. Otherwise, a junior failing to achieve High Pass on both parts of the exam will

need to retake the entire exam.

10. A junior will be allowed at most two attempts on the Honors Qualifying Examination.

11. The number of times a senior can take the Comprehensive Examination is governed by College policy (see the last paragraph of the section ``The Major Requirement'' in the Catalog). The current

policy specifies at most two attempts during the senior's last semester at the College. The policy does allow a third attempt, though this usually involves a delay in graduation. In this situation, the

senior must return to campus to take the examination and must get a grade of Pass on all parts of the exam taken.

12. When a student retakes the exam, the second part (Algebra or Analysis) should cover the same course as on the first attempt. Switching from Algebra to Analysis (or vice versa) for the retake requires permission of the student's advisor.

Last updated: September, 2014