Expository Lectures:

From Discrete to Continuous -- Applications of Variational Concepts in Singularly Perturbed Time Dependent Problems,
Pizza Seminar on Applied Mathematics, Apr. 2011

Applications of Singular Perturbations in Calculus of Variations,
Bridge to Research Seminar, Nov. 2010

How Can Random Noise Help Us?,
Kappa Mu Epsilon Mathematics Club, Central Michigan University, Mar. 2009

Special Topic Courses for Students:

MA 543: Introduction to Ordinary Differential Equations and Dynamical Systems, Spring 2016

MA 598: Introduction to Gamma Convergence, Spring 2013

MA 490: Introduction to Partial Differential Equations, Spring 2012

MA 598: Applications of Weak Convergence Methods in Nonlinear Partial Differential Equations, Fall 2011

Graduate Independent Studies:
Stochastic Analysis and Multi-scale Problems (Fall 2016)
Introduction to Chaotic Dynamical Systems (Summer 2016)
Introduction to Geometric Measure Theory (Spring 2009)
Stochastic Analysis and Multi-scale Problems (Summer 2008)
Minimax Methods and Critical Point Theory (Fall 2005)
Variational Methods in Partial Differential Equations (Fall 2004)

Undergraduate Independent Studies:
Dynamical Systems and Mathematical Biology (Fall 2015 - Spring 2016)
Random Walks in Inhomogeneous Medium (Spring 2008)
Random Walks in Physics and Biology (Spring 2003)