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REQUIREMENTS FOR THE PhD DEGREE
 

Jump to information about:
Thesis and Defense | Thesis Committee | Ph.D. Examinations | Admission to Candidacy

Basic Requirements

The basic requirements for this degree are:

  • completion of 72 credit hours beyond the bachelor's degree, of which at least 24 hours must be designated for research under the direct supervision of the student's faculty advisor;
  • at least two semesters of full-time residence on campus;
  • successful completion of the Qualifying Examination;
  • successful completion of a Thesis Proposal;
  • a thesis written while the student is enrolled at CSM;
  • a successful oral defense of the thesis.

Typically, students require a minimum of two years after the M.S. to finish a Ph.D. assuming the M.S. was completed at CSM. For students with a Master's degree from another institution, three to four years is more realistic.

Thesis Committee

The Doctoral Thesis Committee consists of at least five members. A thesis advisor should be chosen by the student, preferably no later than the middle of the second semester after completion of the Master's degree or its equivalent. The advisor will, in consultation with the student, recommend at least two more members of the Department. At least one member of the Thesis Committee must be from outside the Department. The final composition of the Thesis Committee is subject to the approval of the Graduate Dean. While all committee members share responsibility for conducting oral examinations, providing technical assistance, advice, etc., the thesis advisor assumes the major responsibility for monitoring the student's progress, directing the research, and coordinating times of exams. It is possible to have two co-advisors, one of whom may be from another department. The Thesis Committee should have been appointed by the end of the second semester.


Qualifying Examination

The purpose of the Qualifying Examination is to determine whether a student is qualified to further pursue a Ph.D. degree in the Department. For this reason, it is an important milestone on the road to a Ph.D.

Students are expected to take the Qualifying Examination by their fourth semester after entering the Ph.D. program. The Qualifying exam is normally offered once a semester. Students must file an appropriate notice to the Graduate Committee by a posted deadline stating their intention to take the exams and in which areas they will be taken.

The format of the qualifying exam depends upon your program of study:

Applied Mathematics - Qualifying Examination

The format of the qualifying exam is as follows:
Each student must pass three written exams, in the areas of Pure Mathematics, Applied Mathematics, and Computational Mathematics. Each exam will cover one course from the corresponding list below. Each student will choose which course from each list he or she will be examined on. Students are not required to take the courses in order to take the exams.
  • Pure Mathematics (MATH 500, MATH 502, MATH 503)
  • Applied Mathematics (MATH 510, MATH 514)
  • Computational Mathematics (MATH 550, MATH 551)


Computer Science - Qualifying Examination

Students desiring to take the PhD Qualifying Exam must have

  1. taken SYGN 501 The Art of Science (previously or concurrently),
  2. taken at least four CSCI 500-level courses at CSM, and
  3. maintained a GPA of 3.5 or higher in all CSCI 500-level courses taken.
The PhD Qualifying Exam will be offered once a semester; see the timeline for the exam in each step below. Students should complete the PhD Qualifying Exam within two years after enrolling in the PhD program.

Step 1. A student indicates interest in taking the CS PhD Qualifying Exam by choosing TWO research interest areas from the following list (which is subject to change based on the faculty research profile):
algorithms, education, graphics, high-performance computing, and networks. (Each PhD Qualifying Exam must comprise TWO research areas.) To indicate interest in taking the exam, the student must inform the MCS Graduate Director no later than the first class day of the semester.

Step 2. The MCS Graduate Director creates an exam committee of (at least) four appropriate faculty. The exam committee assigns the student deliverables for both research areas chosen. The deliverables will be some combination from the following list:

  1. read a set of technical papers, make a presentation, and answer questions
  2. complete a hand-on activity (e.g., develop research software) and write a report
  3. complete a set of take-home problems
  4. write a literature survey (i.e., track down references, separate relevant from irrelevant papers)
  5. read a set of papers on research skills (e.g., ethics, reviewing) and answer questions
Note: The student does not need to be outstanding in all components of the exam to pass.

Step 3. The student must complete all deliverables no later than the Monday of Dead Week.

Step 4. Each member of the exam committee makes a recommendation on the deliverables from the following list:

  • strongly support
  • support
  • do not support
To pass the PhD Qualifying Exam, the student must have at least TWO "strongly supports" and at most ONE "do not support"s. The student is informed of the decision no later than the Monday after finals week. A student can only fail the exam one time. If a second failure occurs, the student has unsatisfactory academic performance that results in an immediate, mandatory dismissal of the graduate student.

Statistics - Qualifying Examination

Each student must pass two written exams, which cover the courses shown below. Students are not required to take the courses in order to take the exams.
  • Applied Statistics (MATH 530, MATH 531)
  • Theoretical Statistics (MATH 534, MATH 535)

The student must pass both exams to continue in the doctoral program. One retry is allowed. In case of a failure, the student is allowed to alter the choice of the area or areas with the understanding that no further retries will be allowed. Any retaking of a failed exam must be done at the next regularly scheduled offering of the qualifying exams.


Admission to Candidacy

After successfully completing the Qualifying Exam and forming a Thesis Committee, the student should file an Admission to Candidacy form with the Graduate School. This form lists all the courses to be counted towards the degree; subsequent changes must be approved by the Thesis Committee and the Graduate Dean.

Students should advance to candidacy within two calendar years of enrolling in the PhD program by submitting Admission to Candidacy form with the Graduate School.


Thesis Proposal

The thesis proposal consists of a written description of the research topic. The proposal is presented to the thesis committee; this is usually done soon after the committee has been formed and should be done at least one year before the Thesis Defense. Typically, students defend the proposal in an oral presentation to the thesis commitee.


Thesis and Defense

The doctoral thesis must show original research of substantial quality in a suitable technical field and exhibit satisfactory grammatical style. The subject is selected by mutual agreement between the candidate and the advisor, with the concurrence of the Thesis Committee. A written thesis proposal must be submitted to the Committee (at least one year before the defense). It is the responsibility of the thesis advisor/co-advisors to supervise the research and to ensure appropriate accuracy, completeness, organization, style, grammar, etc., of the initial drafts of the thesis. Other members of the committee can be involved as needed, except that the final draft should be available to every member of the committee at least one week prior to the defense. The defense is scheduled via the Thesis Defense Request form; all members of the Thesis Committee must sign this form which is then submitted to the Department office no later than two weeks prior to the date of the defense. The final oral defense, open to the public, consists of a presentation by the candidate of the results of the thesis, followed by (or accompanied by) questions from the committee members. These questions need not be restricted to the thesis material itself.

An oral defense of theses should be announced (at least) one week in advance. The announcement should include (at least) the following:

  • title of thesis
  • student's name
  • date/time/location of oral presentation
  • abstract
The student should announce the oral defense via two methods:
  1. create a flier with the preceding information, and have a copy of it posted around the department
  2. email the following two lists with the preceding information:
    mathcs-gradstudents@mines.edu, mathcs@mines.edu

Any revisions requested by the committee must be incorporated into the final copy of the thesis submitted to the Graduate School. The student should consult the Graduate School's "Thesis Writer's Guide" regarding rules for the format required for this final version, how many copies must be submitted, copyright releases, etc. CSM also has a Writing Center, where help with writing is freely available. There are also some good books on mathematical writing, one by Higham published by SIAM and one by Krantz published by the AMS.

A LaTeX thesis template that conforms to the Colorado School of Mines format is available through the Graduate Student Association (GSA).

The Graduation Application form should be filed near the beginning of the semester in which the student expects to graduate.

The CSM Graduate School Office website has forms and other information for current students.

If you are interested in our programs, we'd like to learn more about you. Please complete our Online Request Form and we'll send you additional information about our program.



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