Stochastic Processes and Markov Chains

Explore the dynamic world of stochastic processes, where randomness and uncertainty reveal insights into complex phenomena.

This course introduces the fundamentals of probability theory and provides a thorough understanding of Markov chains, with practical applications across diverse fields such as finance, engineering, and biology. Designed for professionals looking to elevate their data analysis skills, students aiming to specialize in stochastic modeling, or anyone intrigued by the interplay of probability and dynamic systems, this course offers both theoretical foundations and real-world applications to bring these concepts to life.

Course Highlights:

• Set Theory and Its Applications to Probability
• Discrete Random Variables
• Continuous Random Variables
• Pairs of Random Variables
• Random Vectors
• Stochastic Processes
• Markov Chains
• Applications in MATLAB

Course Benefits:

• Understand and apply foundational concepts in probability theory, including set theory and its relevance to probability.
• Distinguish between discrete and continuous random variables and analyze their properties and applications.
• Analyze pairs of random variables and random vectors, understanding their interactions within stochastic models.
• Demonstrate proficiency in the basics of stochastic processes, with an emphasis on Markov chains and their theoretical and practical applications.
• Use Markov chains to model and solve real-world problems across different fields using MATLAB to simulate stochastic processes and analyze data for practical insights.
• Integrate stochastic modeling skills to support advanced data analysis and decision-making processes in professional or academic context

Transferring for College Credit

Credit earned in Extended Studies courses may lead to the award of a formal certificate by UC San Diego Division of Extended Studies or be applied toward an academic degree or professional credential, subject to at the approval of the receiving institution(s).

Course Typically Offered: Every quarter.  Live discussion sessions will be held once a week. Attendance in these sessions is optional and the sessions will be recorded for students to view later. Exams will be given online during a set date and time.

Prerequisites: Before taking this course, students should have previously taken Calculus I, or an equivalent course.

More information: For more information about this course contact unex-techdata@ucsd.edu.