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    Northern Illinois University
   
 
  Oct 23, 2017
 
 
    
2012-2013 Graduate Catalog [ARCHIVED CATALOG]

Doctor of Philosophy in Mathematical Sciences


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Check departmental information for any additional requirements.

Admission


A student seeking admission to the Ph.D. program in mathematical sciences must meet all requirements for admission to the Graduate School and shall have satisfied the requirements (or equivalent) for the B.S. in mathematical sciences at NIU. In addition, each student is required to have completed an approved year-long sequence of courses in probability and statistics prior to admission to the program, or to take an approved sequence of graduate courses in probability and statistics as part of the doctoral program. Students seeking admission who possess a master’s degree in mathematical sciences will also be expected to have met the above requirements.

Course Requirements


The Graduate Studies Committee of the department will be responsible for approving each student’s program to meet the course requirements specified below. Each student will complete at least 90 hours of course work. The committee will assess all work done at other institutions and will grant transfer credit for any graduate work deemed acceptable and subsequently approved by the dean of the Graduate School. The Graduate Studies Committee of the department will also be responsible for the administration of the qualifying and candidacy examinations.

One of the following groups of courses (12)


Group D–four of the following


Students who take Group D are expected to fulfill at least 12 semester hours of their elective requirement with a coherent, approved program of courses outside the Department of Mathematical Sciences.

Topics Courses and Seminars


At least 21 hours of elective topics courses and seminars. One seminar must be elected outside the student’s area of study. The topics courses should ordinarily be chosen from the list below. (Elective course work should be chosen so that the program contains a coherent selection of 6 semester hours at the 500-level or above in the mathematical sciences, outside the student’s broad area of study, or in a related discipline.) Repetitions of topics courses and seminars are allowed as subjects vary.

Elective courses


An additional 9-15 semester hours of electives at the graduate level. Elective course work should be chosen so that the program contains a coherent selection of 6 semester hours at the 600-level or above in the mathematical sciences, outside the student’s broad area of study, or in a related discipline.

Applications Involvement Component


Three to 9 semester hours in MATH 792 - Applications Experience, or equivalent experience.

Doctoral Research and Dissertation


At least 24 semester hours in MATH 799 - Doctoral Research and Dissertation.

Qualifying Examination


Whether admission to the program follows completion of a baccalaureate or a master’s degree, each student is required to pass a written qualifying examination administered by the Graduate Studies Committee of the department.

Candidacy Examination


The candidacy examination is an oral examination in the student’s primary area of study and is taken later than the qualifying examination. The committee to hear the candidacy examination will be nominated by the chair of the department and appointed by the dean of the Graduate School.

Applications-Involvement Component


The AIC includes MATH 792, an internship and a final report. Continuous enrollment in MATH 792 is required until completion of the AIC. The completion is determined by the Graduate Studies Committee in consultation with the AIC director.

Dissertation Committee


The dissertation committee for each student will be nominated by the chair of the department and appointed by the dean of the Graduate School. This committee will consist of three to five graduate faculty members and be chaired by the dissertation adviser who has been appointed by the chair of the department.

External Examiner


An external examiner for the doctoral dissertation will be nominated by the chair of the department and appointed by the dean of the Graduate School. The examiner shall submit a written report on the dissertation to the chair of the department, the dean of the Graduate School, and the student’s dissertation committee prior to the oral dissertation defense.

Oral Dissertation Defense


An oral examination on the dissertation will be conducted by the dissertation committee according to the rules of the Graduate School. The oral dissertation defense can only be conducted after the completion of the AIC and the Research Tool requirements. This defense will be open to the university community.

Research Tool Requirement


The Department of Mathematical Sciences requires students in the Ph.D. program to demonstrate proficiency with a research tool appropriate to their area of research.

The arrangement for meeting the research tool requirement is to be approved by the Graduate Director. Satisfactory completion is determined by the Graduate Studies Committee.

Examples of research tools include the following:

Facility with a natural language such as French, German or Russian to the extent necessary to translate a technical article. Students with no prior experience of the language are strongly advised to take the appropriate Summer course from the Department of Foreign Languages and Literature.

Satisfactory completion of two semesters of MATH 795: Writing in the Mathematical Sciences.

Completion of a coherent sequence of two courses at the 700 level in another unit of the University which contribute significantly to an interdisciplinary aspect of the dissertation.

In no case will defense of a dissertation be permitted until the research tool requirement has been met.

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