Storytelling to Introduce Applications of Laplace Transforms

“…and they couldn’t send the satellite up! Those big solar panels! Won’t fit in the rocket! If, in any way, they can pack it in the rocket – like we lazy souls pack our dresses when we go for a trip – and pull it out in the Outerspace and iron it back to the…

Analysis/Topology: Bounded and Totally Bounded Sets

Definitions Bounded set: Let <M,ρ> be a metric space. We say that the subset A of M is bounded if there exists a positive number L such that ρ(x,y)≤L  (x,y∈A) (Wikipedia) Diameter of a set: If A is bounded, we define diameter of A (denoted by diam A) as diam A=  ρ(x,y). If A is not…

The Mathematics of Tiling

A list of articles about the mathematics of tiling, along with teaching materials like 3D Printable Models

About a few Geometric Shapes and Brachistochrone Problem

What is a Catenary Curve? In physics and geometry, a catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. Catenary curves were for a long time misunderstood to be parabolas, and has a history behind this shape worth reading! (Continue reading on…