Current teaching
I have been involved in teaching two courses in the Department of Mathematics at UC Berkeley.
- Spring 2012 – Math 104: Introduction to Analysis
- Spring 2011 – Math 104: Introduction to Analysis
In addition, I lectured Math 126: Introduction to Partial Differential Equations for three weeks to cover Benjamin Stamm's paternity leave. Several homework assignments and solutions about scalar conservation laws and the method of characteristics are available.
Guest lectures
- March 2, 2004 – Numerical Stability in Leapfrog and Lax–Wendroff schemes.
- April 7, 2005 – Return and First Passage on a Lattice. [Notes available through MIT OpenCourseWare]
- April 26, 2005 – Lévy Flights. [Notes available through MIT OpenCourseWare]
- September 12, 2006 – Moments, Cumulants, and Scaling.
- October 24, 2006 – Return probability on a lattice. [Notes available]
- October 26, 2006 – The arcsine distribution. [Notes available]
- April 13, 2007 – Using Riemann invariants to solve the 1D gas dynamics equations.
- May 16, 2007 – Dimensional analysis.
- November 15, 2007 – Spectral methods for elliptic equations.
- November 20, 2007 – Iterative methods for linear systems. [Notes available]
- September 30, 2009 – The Jacobi, Gauss–Seidel, and SOR methods.
- October 19, 2009 – The multigrid method.
- September 22, 2010 – Jacobi and Gauss–Seidel methods.
- September 27, 2011 – Iterative Methods for Linear Systems.
- November 22, 2011 – The Multigrid Method.
- February 7, 2012 – Monotonic sequences and subsequences.
Previous teaching experience
I was involved in teaching for six semesters while I was a graduate student at MIT, being the teaching assistant to a total of seven classes:
- 18.435 Quantum Computation, Fall 2003, Prof. Peter Shor
- 18.336 Numerical Methods of Applied Mathematics II, Spring 2004, Dr. Plamen Koev
- 18.366 Random Walks and Diffusion, Spring 2005, Prof. Martin Bazant
- 18.311 Principles of Applied Mathematics, Spring 2005, Prof. Martin Bazant
- 18.337 Applied Parallel Computation, Spring 2006, Prof. Alan Edelman
- 18.366 Random Walks and Diffusion, Fall 2006, Prof. Martin Bazant
- 18.311 Principles of Applied Mathematics, Spring 2007, Prof. Martin Bazant
Course 18.311 is at the undergraduate level, while the rest are at the graduate level.