Course Notes

Numerical Analysis Note 1: Gauss Elimination   This is part of the package of class notes. Many variants of LU or LDU factorization by Gauss elimination are covered in detail (including the Doolittle and Crout variants), up to the square root-free Cholesky factorization.

Numerical Analysis Source Code Package 1   Discussed in detail in Numerical Analysis Note 1, this is the triangular factorization software package in Visual C++ using vector and matrix classes, and in Delphi.

Numerical Analysis Note 2: Vector and Matrix Norms   This is part of the package of class notes.

Numerical Analysis Short Notes  
  Note 1.1: Lagrange Interpolation
  Note 1.2: The Error in Lagrange Interpolation
  Note 1.3: Divided Differences
  Note 1.4: Computing with Divided Differences
  Note 1.5: Interpolation Using Equidistant Points
  Note 1.6: Examples
  Note 2.1: Bisection
  Note 2.2: Newton's Method

The Schröder-Bernstein Theorem   If there is an injection from the set A to the set B and one from B to A, isn't it obvious that there is a bijection between the two sets? If you answer in the affirmative, write a proof right now! (There are many.) Here's Kleene's original 1952 proof with lots of background material which is recommended review for MAT 4213.

For more stuff, check the Numerical Analysis, Differential Automata and The JavaScript Juggler^TM pages. Recheck all of these pages, and the present page, from time to time.