Spring 2026 Courses

Course Catalogue Description:
In this course, we will introduce some basic models including Lotka-Volterra (Predator-Prey) models, as well as some standard modeling techniques. The emphasis in the course will be placed on qualitative methods and the use of software to understand solutions. Eigenvalues and eigenvectors will be introduced to fully solve linear systems in the plane. Linear and non-linear systems of differential equations will be analyzed by classifying orbits near fixed-point solutions. Students may not receive credit for both MATH 102 and MATH 111.

Course Catalogue Description:

Models are applied on a daily basis to provide insight into any number of current world problems. From diseases to government policy, modeling techniques are being used to predict outcomes and manage populations. With the advent of more computational power and data collection, novel model types and techniques for analysis are being derived. We will explore current models and techniques which are used across multiple disciplines. We will consider agent-based (or individual-based) modeling, and ordinary differential equation models with parameter estimation, along with additional topics. Students will have a chance to investigate using analytical and computational skills, that can be applied across a diversity of fields.