Other
Flower families of Western Canada
.
Keyboard cleaning solution
.
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
Proof of the Intermediate Value Theorem
Proof that continuous functions on [a,b] are bounded
Proof of Extreme Value Theorem
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
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
Distribution problems
Rook polynomials
A note on derangements
Statistics/Probability
Sampling
Inference on serial numbers
Math Miscellaneous
Addition and multiplication tables
for kids.
Other links (outside my pages):
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