**Intended Audience**: Undergraduates, advanced high-schoolers and high-school teachers interested in showing their students some advanced mathematics.

In this episode we introduce two types of functions: holomorphic and conformal.

The term holomorphic refers to a function which is complex differentiable on an open set in the complex plane. Conformality, but contrast, is a geometric idea meaning “angle preserving”. In this video, we discuss what it means for a function to be angle preserving and prove that holomorphic functions are conformal wherever their derivatives are non-zero.

If you enjoy what you see, please be sure to Like my Facebook page and subscribe to my YouTube channel.

©2016 David Shea Vela-Vick