MATHC218B

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MATH C218B - Probability Theory

Mathematics Graduate CLS - College of Letters and Science

Subject

MATH

Course Number

C218B

Department

Course Level

Graduate

Course Title

Probability Theory

Course Description

The course is designed as a sequence with with Statistics C205A/Mathematics C218A with the following combined syllabus. Measure theory concepts needed for probability. Expection, distributions. Laws of large numbers and central limit theorems for independent random variables. Characteristic function methods. Conditional expectations, martingales and martingale convergence theorems. Markov chains. Stationary processes. Brownian motion.

Minimum

4

Maximum

4

Grading Basis

Default Letter Grade; S/U Option

Instructors

Staff

Repeat Rules

Course is not repeatable for credit.

Cross-Listed Course(s)

Formats

Lecture

Term

Fall and Spring

Duration (in weeks)

15

Minimum Hours

3

Maximum Hours

3

Minimum Hours

9

Maximum Hours

9