# Teaching

### Courses taught at Cornell

- Mathematical Explorations (Math 1300)
- Multivariable Calculus for Engineers (Math 1920)
- Calculus III (Math 2130)
- Differential Equations for Engineers (Math 2930)
- Advanced Engineering Analysis (TAM 3100)
- Introduction to Analysis (Math 3110)
- History of Mathematics (Math 4030)
- Differential Equations and Dynamical Systems (Math 4200)
- Applied Complex Analysis (Math 4220)
- Intermediate Dynamics (TAM 5700)
- Nonlinear Dynamics and Chaos (TAM 5780)
- Methods of Applied Mathematics (TAM 6100, 6110)
- Asymptotics and Perturbation Methods (TAM 6130)
- Complex Systems (TAM 6780)
- Applied Dynamical Systems (Math 7170)

### Courses taught at MIT

- Principles of Applied Mathematics (1994)
- Calculus (1993)
- Nonlinear Dynamics and Chaos (1990–1993)
- Complex Variables (1989–1993)
- Mathematical Methods for Engineers (1989–1993)

### Ph.D. Students Supervised at Cornell

- Duncan Watts (Theoretical and Applied Mechanics, 1997)
- M.K. Stephen Yeung (Theoretical and Applied Mechanics, 1999)
- Duncan Callaway (Theoretical and Applied Mechanics, 2001)
- Joel Ariaratnam (Applied Mathematics, 2002)
- Michelle Girvan (Physics, 2003)
- Daniel Wiley (Applied Mathematics, 2006)
- Danny Abrams (Theoretical and Applied Mechanics, 2006)
- Sam Arbesman (Computational Biology, 2008)
- Erik Martens (Theoretical and Applied Mechanics, Ph.D., 2009)
- Lauren Childs (Applied Mathematics, Ph.D., 2010)
- Seth Marvel (Applied Mathematics, Ph.D., 2011)
- Tim Novikoff (Applied Mathematics, Ph.D. 2012)
- Danielle Toupo (Applied Mathematics, Ph.D expected in 2016)
- Isabel Kloumann (Applied Mathematics, Ph.D. expected in 2016)
- Kevin O'Keeffe (Physics, Ph.D. expected in 2017)
- Bertrand Ottino-Loffler (Applied Mathematics, Ph.D. expected in 2018)

### Masters Students Supervised

- John Weisenfeld (Cornell, 1997)

### Postdoctoral Fellows Supervised

- Ricardo Oliva (Cornell, 2001)
- Basant Sharma (Cornell, 2004)
- Marc Timme (Cornell, 2005)

### Ph.D. Students Supervised at MIT

- Shinya Watanabe (Applied Mathematics, 1995)
- Mauricio Barahona (Physics, 1996)

### Diversity Support

- Co-PI of Cornell’s Summer Mathematics Institute (2006-present), a summer “boot camp” for mathematically talented women and minority undergraduates who are headed for graduate school and desire a stronger foundation in analysis and algebra.

## Nonlinear Dynamics and Chaos

This course of 25 lectures, filmed at Cornell University in Spring 2014, is intended for newcomers to nonlinear dynamics and chaos. It closely follows Strogatz’s book, *Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering*. The mathematical treatment is friendly and informal, but still careful. Analytical methods, concrete examples, and geometric intuition are stressed.

## Chaos

It has been called the third great revolution of 20th-century physics, after relativity and quantum theory. But how can something called chaos theory help you understand an orderly world? What practical things might it be good for? What, in fact, is chaos theory?*- The Teaching Company*

- Phys.OrgNovember 23, 2015