Doctor's degree Mathematics - Southern Illinois University Carbondale

Doctor's degree Mathematics from Southern Illinois University Carbondale is a Campus Ph.D Mathematics degree that prepares you for a Education career. The Department of Mathematics offers graduate degree programs leading to the Doctor of Philosophy degree in Mathematics.At the doctoral level, a student may specialize in any one of a large number of fields such as algebra, applied mathematics, combinatorics, differential equations, geometry, numerical analysis, probability, or statistics. Interdisciplinary programs are also available. Students will be considered for acceptance into the doctoral program if they have completed with distinction a graduate program comparable to that required for a master's degree in mathematics, statistics, or computer science at SIUC. Additional evidence of outstanding scholarly ability or achievement (e.g., a high score on the advanced section of the Graduate Record Examination or published research papers of high quality) will lend strength to the application. Students must have completed 419, 421, 430, 452, and 455 or their equivalent before entering the doctoral program. Once admitted, the requirements are as follows: The candidate must pass the departmental qualifying examination by the end of the January following the second fall semester in the doctoral program. This qualifying examination, which is given twice annually in January and August, covers 3 areas each of which is commensurate with a regularly scheduled 500 level graduate course at SIUC. After consultation with the Director of Graduate Studies, candidates will choose the 3 areas over which they are to be examined, with 2 of 3 chosen from MATH 501, 519, 530, 580 including at least one of 501 and 519. The coursework in two courses chosen from the list of four above will not be counted toward completing the major area discussed in 3, below. The third area normally corresponds to another regularly scheduled 500 level mathematics course, but with the approval of the Director of Graduate Studies the third area may be chosen from a related field outside the department. A candidate who fails to pass the qualifying examination within the allotted time will be dropped from the doctoral program. The candidate must demonstrate competence with two research tools, one of which is a foreign language and the other computer programming. The foreign language research tool requirement will be met by exhibiting the ability to read mathematics in any one of the languages French, German, or Russian. This may be certified by passing with a grade of B or better the research tool course 488 offered by the Department of Foreign Languages and Literatures, by passing with a score of 465 or better an examination given by the Educational Testing Service of Princeton, NJ, or by passing a suitable examination given by a faculty member from the Department of Mathematics who has been appointed by the Director of Graduate Studies. The computer programming research tool requirement will be met by passing with a grade of B or better CS 202 and CS 220 or their equivalent, or by passing a suitable examination given by a faculty member from the Department of Mathematics who has been appointed by the Director of Graduate Studies. Mathematics 501 and 519 or their equivalent are required courses for all doctoral students. The candidate must complete a major area (12 hours) and two minor areas (6 hours each). The course work in the major and minor areas must be at the 500 level and must be exclusive of the courses used to satisfy the qualifying examination. Normally the major and minor areas will be based on courses currently taught in the department. However, one of the minor areas may be taken outside the department, subject to the approval of the Director of Graduate Studies. With regard to the major and two minor areas, at least one of the three must be an applied area. The final definition of "applied" will be determined by the dissertation advisor. The candidate must file a request with the Director of Graduate Studies to appoint a dissertation committee to supervise the remaining doctoral work. This committee shall consist of 5 members with the candidate's dissertation advisor as chair. At least one member of the committee must represent each of the minor areas, and the dissertation advisor and one other member will represent the major area. One member of the committee will be chosen from outside of the department. This committee will be appointed by the Director of Graduate Studies after consultation with the candidate, the proposed dissertation advisor, the department chair, and the other faculty members involved. The candidate must pass a preliminary examination over the major area and one minor area chosen by the candidate. This examination will normally be given after satisfying the research tools requirement and within 18 months after passing the qualifying examination. The preliminary examination will consist of a written examination over the major area and an oral examination over the major area and the chosen minor area. This examination will be prepared, administered, and evaluated by the dissertation committee. Any member of the graduate faculty may attend the oral portion of the preliminary examination and (at the discretion of the committee chair) question the candidate. The candidate will pass the preliminary examination provided that 4 members of the committee including the chair so agree. A report on the examination will be included with the candidate's official academic records. In the event that the candidate's performance is unsatisfactory, the committee as a whole shall decide on the time and content of an appropriate re-examination. A candidate who fails the re-examination will be dropped from the doctoral program. In unusual circumstances a candidate who has passed the preliminary examination may wish to change the major area or dissertation advisor. This will be allowed if the Director of Graduate Studies and department chair so agree, in which case the dissertation committee will be reconstituted in an appropriate manner. The revised committee may then prescribe additional course work and require the candidate to retake the preliminary examination. The candidate must be officially admitted to candidacy for the Ph.D. degree. This will be done after all of the above requirements have been met. The candidate must complete a dissertation (representing at least 24 hours in MATH 600) under the supervision of the candidate's dissertation advisor. The dissertation advisor and the other 4 members of the dissertation committee will evaluate the quality of the completed work which must conform to high literary and scholastic standards and constitute an original and publishable contribution to mathematics. A final oral examination will be conducted by the dissertation committee. During this examination the candidate will first present the major results of the dissertation and then respond to questions. Any member of the University graduate faculty may attend and (at the discretion of the dissertation advisor) ask related questions. The dissertation will be accepted provided the dissertation advisor and at least 3 of the other 4 members of the committee so agree. 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