Math 431: Probability Theory

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Catalog Information

Title

Probability Theory.

(Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

Offered

F

Prerequisite

Math 313.

Description

Axiomatic probability theory, conditional probability, discrete / continuous random variables, expectation, conditional expectation, moments, functions of random variables, multivariate distributions, laws of large numbers, central limit theorem.

Desired Learning Outcomes

Prerequisites

The current prerequisite is linear algebra. Because of the centrality in Math 431 of joint distributions of continuous random variables, the department should consider adding multivariable calculus as a prerequisite.

Minimal learning outcomes

Additional topics

Courses for which this course is prerequisite

Currently, Math 431 is only a prerequisite for Math 435. Consideration should perhaps be given to making it a prerequisite for Math 543.