# Math 431: Probability Theory

From MathWiki

## Contents

## Catalog Information

### Title

Probability Theory.

### (Credit Hours:Lecture Hours:Lab Hours)

(3:3:0)

### Offered

F

### Prerequisite

### 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.