10:08

The Transformation Law for the First Fundamental Form and Normal Vector

11:55

Principal Curvatures of Planes, Spheres and Cylinders

12:09

Principal Curvatures of a Surface

14:11

Singular Value Decomposition (the SVD)

3:45

Derive the Laplacian for a Spherical Coordinate System in 4 Steps

10:43

Euler's Theorem For Principal Curvatures

9:44

What is mathematical thinking actually like?

13:02

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]