Academic Catalog

MATH332 THEORETICAL ASPECTS OF STOCHASTIC PROCESSES

Course Code: 2360332
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 6.0
Department: Mathematics
Language of Instruction: English
Level of Study: Undergraduate
Course Coordinator:
Offered Semester: Spring Semesters.
Prerequisite: Set 1: 2360262 , 2360301
The course set above should be completed before taking MATH332 THEORETICAL ASPECTS OF STOCHASTIC PROCESSES .

Course Content

Introduction to stochastic processes. Emergence and applications of stochastic processes in various areas of mathematics such as geometry and group theory. Finite and countable Markov chains. Classification of states with proofs. Continuous-time Markov chains; Poisson process. Conditional expectation. Martingales. Brownian motion. Fractal nature of zero sets of Brownian motion.