| Calculus |
- Calculus timeline
- The Derivative
- Differentiation Rules
- Proofs of some differentiation rules
- Proof of product rule
- Proof of chain rule
- Proofs of the sin and cos addition formulas (needed for the derivative of sin).
- Proofs for the three key theorems for continuous functions
- Euclid's proof of Pythagoras Theorem
- Newton's Method (and Intermediate Value Theorem) examples
- A proof of L'Hospital's rule
- Approx. Integration and Simpson's Rule
- What's wrong with imperial units?
- Space curve example for Frenet-Serret equations
- Grad, Div and Curl
| Algebra |
- Determinants
- Uniqueness of the reduced row echelon form of a matrix
- Ill-conditioned matrices
- Using MAPLE in Linear Algebra
- Dimension of Basis
- Orthogonality and Eigenvectors
- Congruence
- Jordan Normal Form (proof)
- Singular Value Decomposition
- Gerschgorin's Circle Theorem
- Householder matrices
- Classification of finitely generated abelian groups - proved via Smith Normal Form.
- Symmetries of a regular hexagon - a Dihedral group
- Duality (Linear programming)
| Combinatorics |
| Statistics/Probability |
Statistical Regularity
- a java applet which generates figures such as this:
- Sampling
- Inference on serial numbers
| Math Miscellaneous |
- Most common errors in math that students make.
| Software |
- Maple - some hints, and various sources and documentation for my small linear algebra library for MAPLE and a few other things.
- Using m4 to maintain html pages.
- Cleaning solution.
| Computer Science, Unix and Linux |
- Systems Programming (Shells, C, System).
- UNIX script utilities for various chores.
| Other |