...Its also important for students to see what mathematics does. The most common question I hear is, "Why are we learning this?" or "Why is this useful?". I've found most of my students learn the material better if you give them an application for it. (read more)
...To this day I can prove that a finite dimensional operator A is nilpotent iff its matrix representation is upper triangular in some basis. Logic is the study of methods of reasoning and inference and the means we use to reach conclusions in the physical world. There are many branches of logic -... (read more)