General requirements: 36 units of coursework and an optional thesis by discretion of the Statistics Committee. Three units may be for thesis research. The minimum residence requirement is one full academic year of graduate study. A grade point average of "B" or better must be maintained in graduate course work.

Optional thesis requirements: To be eligible for the thesis option, a student must maintain a cumulative grade point average of 3.5 or above in the first two semesters (or 18 units) of course work satisfying the program requirements. A maximum of 3 units may be used for thesis research.

Course requirements: The student must take the following six required courses in mathematics or their equivalents: Math 493 and 494 (Probability and Mathematical Statistics) or 5061 and 5062 (Theory of Statistics); Math 4392 (Advanced Linear Statistical Models); Math 439 (Linear Statistical Models); Math 459 Bayesian Statistics; and 475 (Statistical Computation) or a suitable substitute elective approved by the department.

In the case that an equivalent course has been taken and also proficiency in the course material has been demonstrated, other 400-level and above electives may be substituted in consultation with the advisor. Knowledge of Linear Algebra at the level of Math 429 is required for many courses. Students may petition to waive the Math 429 requirement based on previous course work. In such circumstances, students may be required to take a Linear Algebra placement exam at the beginning of the first semester. Satisfactory performance on this placement exam will allow students to waive Math 429; otherwise Math 429 will be an additional required course which must be taken during the first semester.

Additional 400-level or higher electives will be chosen by the student in consultation with his or her advisor to make up the 36 units. Typically, at most three electives shall be chosen from outside the Mathematics Department. If not taken before, a course in C programming is strongly recommended but cannot be included among the courses used to satisfy the 36 units requirement.

**Possible electives include: **

MATH 449 Numerical Methods (F)

MATH 4111 Introduction to Analysis (F)

Math 4121 Introduction to Lebesgue Integration (S)

Math 420 Experimental Design (SE)

Math 4121 (S) Introduction to Lebesgue Integration

MATH 4301 Multilevel Modeling (POLI SCI 584C) (F)

MATH 434 Survival Analysis (FO)

MATH 4392 Advanced Linear Statistical Models (SO)

Math 449 Numerical Applied Mathematics (F)

Math 456 Financial Mathematics

Math 460 Multivariate Statistical Analysis

MATH 495 Stochastic Processes (SO)

MATH 5061-62 Theory of Statistics I / II (F)/(S)

MATH 523C Information Theory and Statistics (ESE 523)

MATH 5021 - Complex Analysis I (F)

MATH 5022 - Complex Analysis II (S)

MATH 5031 - Algebra I (F)

MATH 5032 - Algebra II (S)

MATH 5041 - Geometry I (F)

MATH 5042 - Geometry II (SE)

MATH 5051 - Measure Theory and Functional Analysis I (F)

MATH 5052 - Measure Theory and Functional Analysis II (S)

MATH 551 - Advanced Probability I

MATH 552 - Advanced Probability II

B62 FIN 538 Stochastic Foundations for Finance (1.5 credits)

B62 FIN 539 Mathematical Finance (1.5 credits)

BIO 4181 Population Genetics

BIOL 5483 01 Human Linkage and Association Analysis

BIOL 5495 01 Computational Molecular Biology

CSE 514A Data Mining

CSE 515T Bayesian Methods in Machine Learning

CSE 517A Machine Learning

Econ 513 Introduction to Econometrics

Econ 5145 Advanced Theoretical Econometrics

Econ 5161 Applied Econometrics

Econ 5175 Structural Microeconometrics

ESE 545 Stochastic Control

ESE 522 - Random Variables and Stochastic Processes II

MEC 670 - Seminar in Econometrics

Please note: Not all courses are offered each year.

Courses are listed in numerical order. The letters in parentheses after the name of a course mean:

F = offered each fall

FO = offered each fall in odd-numbered years

FE = offered each fall in even-numbered years

S = offered each spring

SO = offered each spring in odd-numbered years

SE = offered each spring in even-numbered years

Math courses listed without one of these codes are offered based on demand.