Difference between revisions of "Math 544: Advanced Probability 2"

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Revision as of 14:59, 17 July 2010

Catalog Information

Title

Advanced Probability 2.

Credit Hours

3

Prerequisite

Math 543.

Recommended

Math 341, 342, Stat 441(?); or equivalents.

Description

Advanced concepts in modern probability. Convergence theorems and laws of large numbers. Stationary processes and ergodic theorems. Martingales. Diffusion processes and stochastic integration.

Desired Learning Outcomes

Prerequisites

This course has Math 543 as a prerequisite, so it can build on the work done in that class.

Minimal learning outcomes

Outlined below are topics that all successful Math 544 students should understand well. As evidence of that understanding, students should be able to demonstrate mastery of all relevant vocabulary, familiarity with common examples and counterexamples, knowledge of the content of the major theorems, understanding of the ideas in their proofs, and ability to make direct application of those results to related problems.

  1. Laws of Large Numbers
    • Weak Law
    • Strong Law

Additional topics

Courses for which this course is prerequisite

None