Polynomial Division can be used to find Taylor polynomials of rational functions easily and quickly. The polynomial division that does this trick is inverted in the sense that, instead of canceling out the leading terms at each step, one cancels out the trailing terms. Otherwise everything goes just like in the ordinary long division of polynomials.

The Online Single Variable Calculus is a full course at university level covering topics from Real Numbers, Functions, Differentiation, Integration, Series and Differential Equations. Each topic is organized in a module consisting of a Ten Minute Talk accompanied by Open Problems and Solved Problems. The material has been designed especially for online delivery.

Riemann Surfaces and Teichmüller Spaces by Mika Seppälä and Tuomas Sorvali. A graduate level book. Originally published by North Holland. Now out of print.