Current Projects



Disclaimer:

I know there are plenty of typos in my work, if you see any please contact me so I can correct them. If there is a more straight forward proof for something or a proof is incorrect please contact me. Thanks.

Various Matlab files

Derivative using the Fast Fourier Transform.
Integration using the Fast Fourier Transform.
Cubic Spline interpolation.

1D V-cycle multigrid for Poissons equation using recursion.
Various Spectral/(Psuedo Spectral) Methods for the Advection Diffusion equation .
chebyshev interpolation with Gauss Lobatto points /w examples .

Gaussian elimination with full pivoting.
Linear solver using Jacobian iterations or Gauss-Seidel interations.

Project Files

Complex Analysis Study Guide

Study guide for a Complex Analysis Qualifing exam.

Real Analysis Study Guide

Study guide for a Real Analysis Qualifing exam. Contains key theorems, assorted problems and solutions.

UCSB Real Analysis Study Guide

Study guide for a Real Analysis comprehensive exam.

UCSB Algebra Study Guide

Study guide for an Algebra comprehensive exam.

Introduction to the tensor product

Not really a project, but a few pages of notes on the tensor and wedge products, with examples from geometry, from a lecture I gave.