# 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 need to work with joint distributions of continuous random variables in Math 431, 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.