Summer Bridge Program

This 3-week summer program covers topics from analysis and probability theory (including metric spaces, linear functional analysis, and measure theory) that will be used or introduced in our introductory graduate-level course in fall. The program also fosters community-building among our incoming graduate students and helps them build a supportive and collaborative environment.

Evidence-based Teaching

APMA 0200

I build evidence-based techniques into my teaching, from short in-class active-learning activities to problem-solving workshops in recitations and labs.

Race and Gender in the Scientific Community

APMA 0200

This course examines disparities in representation in the scientific community, issues facing different groups in the sciences, and paths towards a more inclusive scientific environment through texts dealing with the history, philosophy, and sociology of science. We will also explore the specific problems faced by under- and well-represented racial and ethnic minorities, women, and LGBTQ community members.

Applied Ordinary Differential Equations

APMA 0200

During the course, you will see how applied mathematicians use ordinary differential equations to solve practical applications, from creating a differential-equations model, solving the model using analytical, numerical, or qualitative methods, and interpreting the findings. We will also learn about the underlying rigorous theoretical foundations of differential equations.

Introduction to Modelling

APMA 0200

Offers an introduction to the mathematical modeling of biological, chemical, and physical processes. We will learn about the typical way in which applied mathematicians approach practical applications, from understanding the research question, creating and analyzing a model, and interpreting the findings.

Nonlinear Dynamical Systems

APMA 0200

Provides a rigorous introduction to ordinary differential equations, studied from a dynamical-systems viewpoint. Motivated by examples from ecology, chemistry, mechanics, and physics, we will study the existence and uniqueness of solutions and the dynamical behavior near equilibria and periodic orbits.

Applied Dynamical Systems

APMA 0200

Gives an overview of the theory and applications of dynamical systems modeled by differential equations and maps, including bifurcation theory and chaotic dynamics. Applications to chemical reactions, epidemiology, and phase transitions will be covered. This is a WRIT class with three writing assignments.