PhD in Computational Science

A total minimum of 72 units of course work, independent study, and research (including transfer credit) must be completed. These must be distributed as follows:

	Minimum 24 units of graduate level coursework at SDSU (computational science program).
	Minimum 24 units of graduate level coursework at CGU (graduate mathematics program).
	Minimum 24 units of Research, Practicum, Dissertation and Graduate Seminar at either institution.

The detailed program of study must include the following (number of units in parenthesis):

Required Courses at SDSU (totaling 18 units):
	Mathematical Modeling (3), MATH636
	Parallel Computing (3), CS505
	Scientific Database Techniques (3), CS503
	Computational Imaging(3), COMP589
	Advanced Numerical Analysis I (3), MATH693A
	Advanced Numerical Analysis II (3), MATH693B

The additional courses taken to make up the 24-unit requirement at SDSU are electives and are to be chosen in consultation with the student's Doctoral Advisor. The student's program of study beyond the core requirement will be tailored to the student's research interests.

Research units at SDSU:
	Supervised Research (6), COMP890
	Dissertation Proposal (3), COMP895
	Doctoral Research (18-36), COMP897
	Practicum (3-18) COMP898
	Dissertation (3), COMP899

Note that for the 6 courses (total 24 units) to be taken at CGU, there is a core course requirement that must be satisfied as follows. Students must select 1 course each from at least 3 of the following 4 categories:

	Discrete Modelling (e.g., MATH389)
	Advanced Statistics with Computation (e.g., MATH341-342, MATH351, MATH352, MATH353, MATH355)
	Advanced Numerical Analysis (e.g., MATH368) or Numerical PDEs (e.g., MATH362)
	Exotic Algorithms (e.g., MATH359, MATH369)

The additional courses taken to make up the 6-course requirement at CGU are electives, and are to be chosen in consultation with the student's Doctoral Advisor. The student's program of study beyond the core requirement will be tailored to the student's research interests.

Research units at CGU:
	Dissertation Research (2-12), MATH495
	Independent Research (3-4), MATH498
	Doctoral Study (0), MATH499

Note that students are required to be registered for Doctoral Study (MATH499) at CGU during their final semester prior to graduation. This requirement is essential for obtaining the Ph.D. degree.

PhD in Computational Science with concentration in Statistics

The Computational Statistics PhD program is offered within the joint doctoral program in Computational Science between SDSU and CGU. Admission to the concentration will follow the criteria set forth in the Computational Statistics handbook. In addition, students will be required to have the following prerequisites to be admitted into the program:

	STAT670AB: Advanced Mathematical Statistics or equivalent
	STAT510: Applied Regression Analysis or equivalent
	MATH524: Linear Algebra or equivalent
	Familiarity in a programming language

Students in the program take:

	Minimum 24 units of graduate level coursework at SDSU.
	Minimum 24 units of graduate level coursework at CGU (graduate mathematics program).
	Minimum 24 units of Research, Practicum, Dissertation and Graduate Seminar at either institution.

The following are required and elective courses for the program from both institutions.
Required Courses at SDSU (24 units):

	Three course Statistical Computing core: Data analysis with computational emphasis STAT700, Monte Carlo Statistical methods STAT701, and Data mining STAT702
	Numerical analysis MATH693A or Parallel Computing CS505
	Bioinformatics CS600
	Database and Visualization techniques CS503 and Computational Imaging COMP589
	Elective: Three units from STAT676, 678, 696, or a statistics course with strong computational component chosen to be tailored to the student’s research interests in consultation with the faculty advisers at SDSU and CGU.

Required Courses at Claremont Graduate University (24 units):

	Three course Statistics core: Nonparametric statistical inference MATH352, Asymptotic methods in Statistics with applications MATH353, Linear statistical analysis MATH355
	Advanced numerical analysis MATH368
	Discrete modeling MATH389
	Elective: Three units from MATH342, 350, 351, 354, 357, 369, 469, or a statistics/probability course with strong computational component chosen to be tailored to the student’s research interests in consultation with the faculty advisers at SDSU and CGU.

Research units at SDSU: COMP800, 894, 897, 898, 899

Research units at CGU: MATH495, 498, 499