|UNIVERSITY OF CALIFORNIA, SAN DIEGO||CENTER FOR COMPUTATIONAL MATHEMATICS|
CSME Ph.D. Program Structure
The structure of the CSME Ph.D. Program is described completely on this webpage. It is based on the CSME Ph.D. Proposal Document, which can be found on the CSME Resources webpage. However, as the program periodically evolves to address new developments, the information on this webpage should be viewed as the most accurate and current information about the CSME Ph.D. Program.
Ph.D. Program Overview
The CSME Ph.D. Program at UCSD is a campus-wide interdisciplinary training program designed to train the next generation of scientists, mathematicians, and engineers in the use of modern tools of computational science. The CSME Doctoral Program is integrated into the existing doctoral programs of a number of core participating departments (see the CSME Overview webpage for the list of participating departments). The CSME Doctoral Program leads to a normal Ph.D. in the field of the specific participating department, with an additional credential of ``Specialization in Computational Science''. A "Specialization" is a formal University of California mechanism that allows a graduate student pursuing a Ph.D. in the UC System to obtain the Doctoral equivalent of a minor in a particular area of specialization. The CSME Ph.D. program involves modification of the standard graduate degree requirements in the core participating departments to allow students to complete additional requirements to earn a computational science specialization to their doctoral degree. The overall CSME Graduate Program is administered by the Center for Computational Mathematics within the UCSD Mathematics Department, but in all other respects the core participating departments are completely equal partners in the design, development, management, and evolution of the CSME Graduate Program.
Ph.D. Program Admission
Prospective students must apply to the Ph.D. program of a participating home department, be admitted to that department and then be admitted to the specialization through the CSME Program. The participating academic departments which allow their doctoral students to specialize in computational science through the CSME doctoral program are listed on the CSME Overview webpage. For more information about admission see the CSME Application and Admission webpage.
Ph.D. Program Structure and Requirements
Requirements consist of those of the doctoral program in the admitting home department (one of the participating departments) as well as the CSME proficiency, qualifying and elective course requirements as outlined below. Requirements and policies relating to the home department can be found in the General Catalog under that department's name, or by contacting the home department directly.
All Ph.D. students participating in the CSME doctoral program must demonstrate advanced undergraduate level proficiency in numerical analysis and in computer algorithms and data structures. Proficiency may be demonstrated by taking UCSD's courses in both subjects while enrolled in the graduate program (4 units per course):
In addition to the home department doctoral program qualifying exam requirements, Ph.D. students participating in the CSME doctoral program must pass the final exams in all three qualifying exam courses listed below. The three qualifying exam courses have been selected to provide a general broad set of tools in computational science. It is expected that most students will register for and take these courses (4 units per course), but the CSME Qualifying Exam Committee may allow an exceptionally well-prepared student to take the final exams without taking the courses. Students must pass the qualifying examinations by the end of the second year or, on petition, by the end of the third year. The following CSME qualifying courses must be taken for a letter grade:
LIST A: CSME Qualifying Exam Courses
The LIST A set of courses is a fairly small collection of computational science and applied mathematics courses that represents core knowledge in modern computational science. Courses taken from LIST A to satisfy the qualifying requirements cannot be used to satisfy the LIST B elective requirement.
To encourage CSME Ph.D. students to both broaden themselves in an area of science or engineering as well as to obtain more specialized training in specific areas of computational science, students will be required to take and pass two elective courses, both of which must be outside of their home department, the first of which must be taken for a letter grade, and the second of which may be taken pass/fail. The courses must be selected from the following approved List B (4 units per course). The CSME Executive Committee may approve the use of courses not appearing on the following list on a case-by-case basis. Courses taken to satisfy the elective requirements can not count toward the qualifying requirements (and vice-versa) if the particular course appears on both List A and List B.
LIST B: Elective Graduate Courses in Mathematics, Science, and Engineering
The LIST B set of courses is a slowly expanding collection of computational science, science, and applied mathematics courses that encourages CSME doctoral students to increase their breadth across disciplines, and also gives students the opportunity to achieve substantial depth in a particular secondary discipline. (LIST B is a superset of LIST A above.) A course taken from LIST A to satisfy the qualifying exam requirement cannot be used to satisfy the LIST B Elective requirement.
Ph.D. students participating in the CSME doctoral program must complete a dissertation which meets all requirements for the regular Ph.D. in the home department. In addition, it is expected that the Ph.D. dissertation will be interdisciplinary in nature and involve some aspect of computational science.
Ph.D. students participating in the CSME doctoral program must meet the regular final examination requirements of the home department.
Time Limits and other Requirements for the Ph.D.
All requirements for the Ph.D. in the home department are enforced for CSME Ph.D. students, unless the specific department has modified the internal structure of their Ph.D. program to allow for CSME participation (for example, the Dept. of Mathematics).
Relationship of the CSME Ph.D. Program with Existing Graduate Programs at UCSD
See the CSME MS Program webpage for a discussion on this topic.