## Doctoral Programs Curricula

PhD in Computational Science

To be admitted to the Joint Ph.D. Program, an applicant must have received a baccalaureate degree in a scientific discipline, engineering or economics from an accredited institution. Applications from outstanding candidates with degrees in other areas may be accepted conditionally. Normally, these students will be expected to take, during their first year of enrollment, the necessary coursework to eliminate deficiencies in their background. Moreover, the applicant must have an undergraduate Grade Point Average of at least 3.0, and of at least 3.50 in any previous graduate work. The applicant must, in addition, have attained such a scholastic record and present such confidential recommendations as to indicate that he or she is well qualified to pursue, with distinction, advanced study and research.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:

Required Courses at SDSU (18 units chosen from the below with director approval):- MATH 636: Mathematical Modeling (3)
- COMP 605/CS 605: Scientific Computing (3)
- CS 503: Scientific Database Techniques (3)
- COMP 589: Computational Imaging (3)
- COMP 604: Computational and Applied Statistics (3)
- COMP 607: Computational Database Fundamentals (3)
- COMP 626: Applied Mathematics for Computational Scientists (3)
- COMP 670: Seminar: Problems in Computational Science (3)
- MATH 693A: Advanced Numerical Analysis I (3)
- MATH 693B: Advanced Numerical Analysis II (3)

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.

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 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

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 Dissertation (COMP 899) at SDSU and 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 StatisticsThe 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 670A/B: 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

- 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

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 Dissertation (COMP 899) at SDSU and 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 Quantitative BiologyAdmission to the concentration will follow the criteria set forth in the Computational Biology handbook. In addition, students will be required to have the following prerequisites to be admitted into the program:

- CHEM 365. Biochemistry, Cell and Molecular Biology I, or equivalent
- BIOL 366: Biochemistry, Cell, and Molecular Biology II, or equivalent
- MATH 524: Linear Algebra, or equivalent
- Familiarity with a programming language

- Minimum 24 units of graduate level coursework at SDSU (Biology & Bioinformatics 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:

Required Courses at SDSU (24 units chosen from the below with director approval):

Based on the student's background and research interest, the student, the advisor, and the program coordinator may select the appropriate plan of study from the following courses at SDSU:

- BIOL 510: Molecular Evolution (3)
- BIOL 549: Microbial Genetics and Physiology (3)
- BIOL 554: Molecular Virology (3)
- BIOL 570: Neurobiology (3)
- BIOL 575: Molecular Basis of Heart Disease (3)
- BIOL 597A: Univariate Statistical Methods in Biology (3)
- BIOL 555: Principles of Electron Microscopy (2)
- BIOL 556: Scanning Electron Microscopy Laboratory (2)
- BIOL 557: Ultrastructural Techniques (2)
- BIOL 561: Transmission Electron Microscopy Laboratory (2)
- BIOL 567: Advanced Biochemistry, Cellular, and Molecular Biology (4)
- BIOL 568: Bioinformatics (3)
- BIOL 606: Biological Data (3)
- COMP 589: Computational Imaging (3)
- COMP 626: Applied Mathematics for Computational Scientists (3)
- COMP 605/CS 605: Scientific Computing (3)
- COMP 670: Problems in Computational Science (3)
- CS 503: Scientific Databases (3)
- CS 610: Computational Genomics (3)
- MATH 636: Mathematical Modeling (3)
- MATH 693A: Advanced Numerical Analysis (3)
- MATH 693B: Advanced Numerical Analysis (3)
- MBIO 610: Advanced Topics in Molecular and Cell Biology (3)
- STAT 551A: Probability and Mathematical Statistics (3)
- STAT 551B: Probability and Mathematical Statistics (3)
- STAT 672: Nonparametric Statistics (3)
- STAT 676: Bayesian Statistics (3)
- STAT 679: Analysis of Discrete Data (3)
- STAT 680A: Advanced Biostatistical Methods (3)
- STAT 680B: Advanced Biostatistical Methods (3)
- STAT 702: Data Mining (3)

Required Courses at Claremont Graduate University (24 units):

Based on the student's background and research interest, the student, the advisor, and the program coordinator may select the appropriate plan of study from the following courses at CGU:

- MATH 342: Bioinformatics and Biostatistics (4)
- MATH 351: Time Series Analysis (4)
- MATH 352: Nonparametric Statistical Inference (4)
- MATH 354: Reliability (4)
- MATH 357: Probability Theory (4)
- MATH 368: Advanced Numerical Analysis (4)
- MATH 389: Discrete Modeling (4)
- MATH 469: Bayesian Inference and Machine Learning (4)

- 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

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 Dissertation (COMP 899) at SDSU and Doctoral Study (MATH 499) at CGU during their final semester prior to graduation. This requirement is essential for obtaining the Ph.D. degree.