Group Theory in Chemistry

My presentation will explore the application of group theory to understand the symmetry of chemical molecules by associating them to appropriate point groups. We can then look at the character tables of these point groups and see how they encode important symmetrical...

Hypergeometric Distribution

Within statistics, the Hypergeometric Distribution represents the number of successful outcomes when sampling from a given set, without replacement. While this has many applications in data analysis, my presentation will focus on Magic: The Gathering, which is played...

Markov Chains

Have you ever been writing an email and wonder how the text prediction that populates happens and how the words are what you were going to type? These word suggestions are all due to the ability for your email to utilize Markov Chains within the email system. Come to...

Recurrence Relations and Their Applications

Next week, I will be doing my math 480 talk on recurrence relations and their applications. I will start by describing what a recurrence relation is, the different types of recurrence relations, and the multiple different methods on how to solve them. I will then give...

Schrodinger in IMAX

While systems in quantum mechanics are typically reserved for modelling sub-atomic systems, they can be rearranged or redefined to solve for more macroscopic systems that would typically be reserved for kinematic calculations. One in particular is Schrodinger’s...

The Pell Equation

The Pell equation, X^2 – DY^2 = 1 with solutions (X, Y), has a history rooted in Ancient Indian Mathematics and was later explored by Western mathematicians like Fermat and Euler. Upon looking at the equation, it may seem simple. However, this equation has...

Methods of Teaching Mathematics

The effective teaching of mathematics is crucial for students to become proficient in mathematical concepts and capable of applying these skills in diverse settings. Students being able to have these skills could potentially result in increasing student enrollment in...