Course Number
625.617
Next Offered
Spring 2025
Location
Online
Course Format
Asynchronous Online

The most basic question in mathematics is How many? Counting problems arise in diverse areas including discrete probability and the analysis of the run time of algorithms. In this course we present methods for answering enumeration questions exactly and approximately. Topics include fundamental counting problems (lists, sets, partitions, and so forth), combinatorial proof, inclusion-exclusion, ordinary and exponential generating functions, group-theory methods, and asymptotics. Examples are drawn from areas such as graph theory and block designs. After completing this course students will be practiced in applying the fundamental functions (such as factorial, binomial coefficients, Stirling numbers) and techniques for solving a wide variety of exact enumeration problems as well as notation and methods for approximate counting (asymptotic equality, big-oh and little-oh notation, etc.). Prerequisite(s): Linear algebra

Course Offerings

Open

Intro to Enumerative Combinatorics

625.617.81
01/21/2025 - 05/06/2025
Semester
Spring 2025
Course Format
Asynchronous Online
Location
Online
Cost
$5,270.00
Course Materials