Mathematics

Interested in taking a Math or Stats course in Fall 2025? Join the Math & Stats faculty over dessert to learn about course offerings for the upcoming semester, receive information about the different majors we offer, or celebrate taking your last Math or Stats course at Middlebury. Anyone who is currently taking or wants to take a course in the department is welcome!

Are you interested in taking some Mathematics or Statistics courses next semester? Are you currently taking a Math or Stats class? Do you have a sweet tooth?

Join the Math & Stats faculty over dessert and learn about their Spring 2025 course offerings! This is a great opportunity to get more information about the different majors and minor, receive advice on planning a course of study that aligns with your dream Middlebury experience, and chat with students currently enrolled in Math and Stats courses.

We hope to see you there!

Are you interested in taking some Mathematics or Statistics courses next semester? Are you currently taking a Math or Stats class? Do you have a sweet tooth?

Join the Math & Stats faculty over dessert and learn about their Spring 2025 course offerings! This is a great opportunity to get more information about the different majors and minor, receive advice on planning a course of study that aligns with your dream Middlebury experience, and chat with students currently enrolled in Math and Stats courses.

We hope to see you there!

Along with geometry, number theory is one of the oldest and most revered areas of mathematics. Topics that are often studied in an elementary number theory course include triangular numbers, squares, and the Fibonacci sequence. Later topics include continued fractions and a class of equations called Pell’s equation.

The classical Möbius inversion formula was introduced to number theory in 1832 by August Ferdinand Möbius. It relates two arithmetic functions (e.g., Euler’s Phi function) in terms of sums over divisors of a given integer. In 1962, Gian-Carlo Rota introduced a vast generalization of this idea for functions defined over partially ordered sets (posets). Rota applied his generalized Möbius inversion formula to numerous problems in combinatorics.

In order to learn about broad scale ecological patterns, data from large-scale surveys must allow us to either estimate the correlations between the environment and an outcome and/or accurately predict ecological patterns. An important part of data collection is the sampling effort used to collect observations. Through simulations and an application using Forest Inventory Analysis data, we will see if and how sampling effort affects statistical inference and predictions under simple modeling assumptions. 

Presented by Victor Barranca, Associate Professor of Mathematics and Statistics at Swarthmore College

Please consider attending the Middlebury Women in Data Science (WiDS) 2024 conference! The conference will feature three Middlebury faculty providing lightning talks on their work in data science, an alumni panel from recent Middlebury graduates who currently work in data science positions, and a keynote talk by Assistant Professor Sarah Brown from the department of Computer Science at University of Rhode Island. Everyone is welcome to attend the WiDS conference! Food and prizes will be provided.

A triangle has six “parts,” three sides and three angles. If you know five parts, do you know the triangle?”

Presented by Bruce Peterson, Professor Emeritus of Middlebury College.
Refreshments will be provided.

Evaluating the impact of an athlete’s performance on a team, deciding on a treatment plan for a cancer patient and evaluating how to encourage people to manage their weight are all interesting and carefully studied problems. In these examples and many others, decision makers often ultimately rely on scoring systems that reduce high dimensional data to a single value. We present the ways that scoring systems are similar across many applications, how they provide insights, how they can lead to difficulties and how they can be evaluated and improved.