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), MATH 636
	Parallel Computing (3), CS 505
	Scientific Database Techniques (3), CS 503
	Computational Imaging (3), COMP 589
	Advanced Numerical Analysis I (3), MATH 693A
	Advanced Numerical Analysis II (3), MATH 693B

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), COMP 894
	Dissertation Proposal (3), COMP 894
	Doctoral Research (18-36), COMP 897
	Practicum (3-18) COMP 898
	Dissertation (3), COMP 899

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 Modeling (e.g., MATH 389)
	Advanced Statistics with Computation (e.g., MATH 341-342, MATH 351, MATH 352, MATH 353, MATH 355)
	Advanced Numerical Analysis (e.g., MATH 368) or Numerical PDEs (e.g., MATH 362)
	Exotic Algorithms (e.g., MATH 359, MATH 369)

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), MATH 495
	Independent Research (3-4), MATH 498
	Doctoral Study (0), MATH 499

Note that students are required to be registered for Doctoral Study (MATH 499) 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:

	STAT 670AB: Advanced Mathematical Statistics or equivalent
	STAT 510: Applied Regression Analysis or equivalent
	MATH 524: 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 STAT 700, Monte Carlo Statistical methods STAT 701, and Data mining STAT 702
	Numerical analysis MATH 693A or Parallel Computing CS 505
	Bioinformatics CS 600
	Database and Visualization techniques CS 503 and Computational Imaging COMP 589
	Elective: Three units from STAT 676, 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 MATH 352, Asymptotic Methods in Statistics with Applications MATH 353, Linear Statistical Analysis MATH 355
	Advanced Numerical Analysis MATH 368
	Discrete Modeling MATH 389
	Elective: Three units from MATH 342, 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: COMP 800, 894, 897, 898, 899

Research units at CGU: MATH 495, 498, 499