The purpose of the doctorate enter in mathematics is 2-fold:
- To organize graduates for productive careers in industry, government, or education
- To create capable scholars who stand out at communicating their understanding for their students, fellow mathematicians, and surrounding communities
This program is made to develop fundamental knowledge of broad regions of mathematics together with knowledge of a significant field of great interest. Emphasis is positioned around the abilities of recognizing significant research problems, formulating solutions, and transmitting effective outcomes to other people.
General doctorate degree needs at CGU might be based in the Doctorate Levels portion of the Bulletin. It’s the student’s responsibility to understand and also to meet these needs.
Course Needs. As many as 72 units of coursework are needed to accomplish the doctorate degree. The unit must include one transdisciplinary course. per College policy.
Residency. Students must match the CGU residency requirement: a minimum of two semesters of full-time study inside a two-year period or 48 units inside a three-year period. It’s suggested that coursework be completed on the full-time basis while part-time attendance is definitely an option, degree needs ought to be satisfied inside a seven-year time period.
Acceptable Academic Progress. The College’s policy on acceptable academic progress applies. Students who don’t conserve a minimum overall gpa of three. in Mathematics classes are put on academic probation. Students who stick to academic probation after taking yet another 8 units of Mathematics courses might be excluded in the program.
Counseling. Students are assigned an instructional consultant upon entering this program. Because they achieve the advanced stages of coursework, they pick a research consultant, who assumes primary counseling responsibilities. To be able to advance to candidacy (see below), students must pick a PhD committee composed with a minimum of three Mathematics faculty people from inside the Claremont Colleges, chaired through the research consultant.
Qualifying Examination. The written qualifying examination is offered once each year, in the finish from the Spring semester. Full-time students within the Mathematics PhD program go ahead and take exam rigtht after the very first year of coursework. Part-time students may hold back until they’ve completed 16 units of CGU coursework.
The six-hour exam is scheduled in 2 three-hour sessions: one each morning and something within the mid-day. Students failing test around the first attempt must repeat test the year after. Failure to pass through test around the second attempt leads to dismissal in the program.
Students ignored in the doctorate enter in Mathematics to fail to pass through test may, in the discretion from the faculty, be eligible for a a terminal master’s degree. However, they might not transfer to a different doctorate program offered with the Institute of Mathematical Sciences.
Preliminary Examinations. Upon effective completing the qualifying examination, students are needed to pass through two written preliminary examinations, each covering roughly two semesters of advanced graduate coursework.
Susceptible to consultant approval, students select their examination areas based on their research interests and orientation toward pure or applied mathematics.
Preliminary exams ought to be finished within 2 yrs of passing the written qualifying exam, but no after 3 several weeks following the completing 72 units of coursework. Unless of course you will find mitigating conditions, failure to accomplish the exams inside the specified period is reason for dismissal in the program.
Students have two possibilities to pass through each exam. If your student fails or forfeits his/her second attempt for an initial exam, he/she may submit a petition towards the IMS Director, requesting permission to alter the preliminary exam subject to a different one. The petition ought to provide a legitimate reason behind allowing this type of change. Before picking out the petition, the IMS Director will consult the student’s academic and/or research advisors, the professor who administered the present preliminary exam and, within the situation of scholars in joint, inter-field or dual-degree programs, the related Program Director(s). Students might be granted this type of permission for the most part once whilst in the PhD program.
Research Tools. The next two research tools, meant to help prepare students for independent research, are needed.
- Research seminar requirement. During a period of a minimum of two semesters, each student must attend a mathematics research seminar regularly. This is usually a CCMS research seminar, mathematics colloquium, faculty-organized topical seminar, or student-organized journal club. A student must undergo their consultant a summary of seminar talks attended, in addition to written summaries of three seminar talks. Each summary, of approximately 1-2 pages long, should outline the fundamental problem, the techniques used, and also the results. Completing these studies tool is needed within twelve months of passing the written qualifying exam.
- Proficiency requirement. Each student must demonstrate proficiency within the following two groups, using a satisfactorily completed course, project or exam. Completing these studies tool is needed before evolving to candidacy.
- Computational. A pc programming language, record research method, or any other computational research tool authorized by the consultant.
- Language. French, German, or Russian.
Advancement to Candidacy. After finishing the qualifying and preliminary examinations, doctorate students must make a written dissertation proposal. Within the advancement to candidacy examination, a student is definitely the suggested dissertation research. The examination ought to be scheduled within twelve months of finishing the needed 72 units of coursework.
Dissertation Completion and Final Dental Examination. The dissertation should be completed within seven years in the semester where the student was accepted. The dissertation defense might not occur sooner than six several weeks after advancement to candidacy. The defense is really a public event announced towards the College’s academic community through the registrar’s office. Full procedures and policies are detailed within the Doctorate Levels portion of the Bulletin as well as on the registrar’s Completing Degree website.