**Other****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****Math Miscellaneous**- Most common errors in math that students make.

**Software**- Using m4 to maintain html pages.

**Systems Programming and Linux**- Systems Programming (Shells, C, System).

*Last update: 2015 April 7
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