Spring 2021

Introduction to the Theory of Partitions

Listed in: Mathematics and Statistics, as MATH-310


Amanda L. Folsom (Section 01)


The theory of partitions is a fundamental branch of combinatorics and number theory pertaining to enumerative properties and patterns of the integers. With its mathematical origins tracing back to the seventeenth century, partition theory has evolved through contributions made by many influential mathematicians including Euler, Legendre, Hardy, Ramanujan, Selberg and Dyson, and continues to be an active area of study today. Topics include partition identities and bijections, Ferrers diagrams and Durfee squares, partition generating functions and q-series, the pentagonal number theorem, q-binomial numbers (Gaussian polynomials), and partition congruences.

This course is expected to include both synchronous and asynchronous class sessions and activities, and opportunities for peer engagement.

Requisite: MATH 121 and 220, or other significant experience with proofs, or by consent of the instructor. Limited to 24 students. Spring semester. Professor Folsom.

If Overenrolled: Preference will be given to seniors first, then a mix of other years based on lottery; 5-college students if space permits, must attend first class


Online Only, Quantitative Reasoning


2022-23: Not offered
Other years: Offered in Fall 2016, Spring 2021