Mathematical Methods for the Physical Sciences

This program is designed for students who have completed a year of calculus and are interested in going deeper into mathematics and its connections to the sciences. The overarching goal is to provide students with the opportunity to acquire the conceptual knowledge and mathematical proficiency needed for further advanced work in math and related disciplines.

Mathematical models are a core component of the physical, life, environmental, and social sciences. Focused work in several areas of applied mathematics (Differential Equations, Linear Algebra, and Multivariable & Vector Calculus) capture core insights into underlying patterns in the world that are used to build and apply these models. A laboratory module will enhance experimental skills and provide experience with computational tools. Each of these four areas represents a 4-credit thread within the program as a whole.

Given the challenging nature of the material, consistent class participation and a substantial time commitment outside of class will be required. We aim to create a collaborative and inclusive learning environment that fosters mutual support and success through lectures, workshops, and labs. Weekly assignments include reading, writing, and substantial problem sets. There will be regular quizzes and exams.

Anticipated Credit Equivalencies:

4* - Differential Equations

4* - Linear Algebra

4 - Multivariable and Vector Calculus

4* - Lab