Catalogue 2019 - 2020

MAMT 561 Probability


3 cr.


MAMT 550 or permission of the department.

Course Description

Probability theory originated in games of chance during the late fifteenth and the early sixteenth centuries. In modern times, probability is typically coupled with statistics which requires a basic understanding of the subject, but this course will focus almost entirely on the pure probability side with reference to statistics in passing. The course begins with methods of streamlined counting known as combinatorics and move to discrete probabilities and then on to continuous probability models. There are many interesting, classic problems in counting and probability, especially the counterintuitive ones. As a check on the classical approach, solutions to some difficult probability problems, students will use simulations in R to empirically study probability. When appropriate, we will see how to introduce some topics to middle or high school students.