Easy Simpson’s rule

Simpson’s rule, as I’m sure all readers of this blog will know, is a simple rule for numerical integration (or…

Initial comparison of TI-nspire CAS and Casio Classpad 330 calculators

The TI-nspire CAS and the Classpad 330 are the top of the line CAS calculators, and are used in both…

Creativity and mathematics

Recently, in The Conversation, the Vice Chancellor of Monash University, wrote an article discussing MOOCs. He made some criticisms about…

Misconceptions about mathematics teaching

Recently I’ve attended a few e-learning seminars and workshops, where uninformed ignoramuses such as me get to sit at the…

Sarrus rule, and extensions to higher orders

Sarrus’ rule is a handy method of computing determinants. As it is not immediately extendable to higher order determinants, I’m…

Computing determinants: elimination and condensation

Elimination Laplace expansion along one row is the first method we might learn, but the second is of course elimination:…

Computing determinants: expansions

I've spoken vehemently before about my dislike of determinants, and in a straight forward computational lower level marices-and-vectors subject I'll…

A piecewise polynomial approximation to the normal CDF

The normal cumulative distribution function has the unfortunate property of not being expressible in terms of elementary functions; that is,…

Easy Lagrangian interpolation

As everybody knows, the formula for Lagrangian interpolation though points , where all the values are distinct, is given by…

The promise of CAS calculators

I’m always confused about the best computing environment for teaching mathematics, and over the years I’ve used Derive, Maple, Maxima,…