Differential Geometry - 1 - Curves x Definitions and Technicalities

What is Differential Geometry? Curves and Surfaces is a course in basic differential geometry focused on problem solving and aimed towards research level geometry.

A proof of Jordan curve Theorem can be found in:

Music:
Prairie Song - Gavin Luke
Amber Hibernation - Lama House
Moon Rain - ELFL

The creation of this video was partially supported by Penn State University

[petterlarsson]

I understood 28.75640274627467015562091% of what you said but I still enjoyed it

[barak]

Just in time! I really needed that! Thanks!

[dylanparker]

Enjoyed this - thank you for making it.

[fuziyang]

Really good tutorial. Thanks for making this.

[aboveskyphysics]

Good video! Just a minor thing: at 2:55, the movement of the point doesn't match given equations. It should be at the origin for t=-infty, go to the left side at infty as t goes to 0-, jump to the origin for t=0 and then flip to the right part at infty for t=0+, and back to 0 as t goes to +infty. It is therefore not continuous in 0. But we get the idea and it is easy to build the desired mapping from there. 😊

[minma]

HOLLY MOLLY! THANK YOU! THANK YOU! THANK YOU!

[bradzoltick]

I wish you would drop the background music. It is both distracting and annoying. Otherwise, your animations are beautiful. Great job.