Doctor's degree Mathematics - California Institute of Technology

Doctor's degree Mathematics from California Institute of Technology is a Campus Ph.D Mathematics degree that prepares you for a Education career. Qualifying Examinations. Qualifying examinations in the three core areas?analysis, algebra, and geometry/topology?are offered in October and June. These examinations emphasize mastery of the basic concepts and theorems and the ability to apply them to specific cases. Students are required to take and pass two of the three examinations, and for the one not taken, to complete the corresponding core course with a grade of B of better. Normally, the examination requirements are completed at the end of the first year or the beginning of the second. Summer Study. Although there are no courses given in the summer, graduate students are expected to carry out studies and research in their chosen area of mathematics . In the summer after the first year, they will work under the guidance of a faculty member to investigate a possible area for their thesis research. Thesis Adviser. It is expected that by the fall quarter of the second year, students will find a member of the faculty who agrees to serve as their thesis adviser. The progress of all continuing students is assessed by the faculty each fall, and students will consult with their advisers about their progress and planning of their studies and research. Students receive help and advice not only from their thesis adviser and other faculty mentors, but also whenever needed from the director of the Ph.D. program, the executive officer, and the faculty ombudsperson in mathematics . Admission to Candidacy. Before the end of their third year, students are expected to finish the process of applying for admission to candidacy for the Ph.D. degree . This formal step requires completion of the requirements for qualifying examinations and core courses, as well as a satisfactory oral presentation to a committee of faculty members. The presentation will describe both the general area of the student's proposed thesis research and the specific problem or problems to be addressed. A written summary of the presentation,typically 3?10 pages, must be given to the committee members at least one week before the presentation. The student and his or her adviser will arrange the formation of this committee, which will have three members, including the adviser. Thesis and Final Examination. On or before the first Monday in May of the year in which the degree is to be conferred, candidates for the degree of Doctor of Philosophy must deliver copies of their theses to their advisers, to the Graduate Office, and to the members of the committee that will conduct the final oral examination on the thesis. The examination must be held at least three weeks before the date on which the degree will be conferred and at least two weeks after the delivery of the copies of the thesis. View more details on California Institute of Technology . Ask your questions and apply online for this program or find other related Mathematics courses.