We've all heard the complaints before: "I just don't get maths!" "Oh no, not a maths problem! I failed that in school!" There is a pervasive fear and resentment of mathematics in westernized society, bordering…

I recently had to set up an internal wiki for my workplace. I picked MoinMoin because it wasn't written in PHP and therefore I believe it will present fewer security risks to my production server…

This is a really cool trick I only recently learned. Evaluating limits has useful applications, and this little trick allows the evaluation of limits which, on the surface, seem impossible. Consider $$ \lim_{x\to 0…

Let $i=\sqrt{-1}$, and let $e^{x}=\sum_{k=0}^{\infty}\frac{x^{k}}{k!}$.1 If follows that $$ e^{ix}=\sum_{k=0}^{\infty}\frac{\left(ix\right)^{k}}{k!}. $$ Utilizing series expansion…

Today in Calculus II: $$\int x\sin x\cos x\,dx$$ You’ll notice that there’s three symbols in this term, which makes integration by parts impossible. But there’s not actually three symbols…

Textbooks have a habit of throwing the most innocuous looking things at you, but it’s really quite an exercise to figure it out. In the section on Integration by Parts, particularly the section of…