YoVDO

Differential Geometry

Offered By: Math at Andrews via YouTube

Tags

Geometry Courses Differential Geometry Courses Curvature Courses

Course Description

Overview

Dive into the fascinating world of differential geometry through a comprehensive 4.5-hour video series. Explore local curve theory, curvature, and the Frenet-Serret formulas. Delve into the corollaries of Frenet-Serret and gain a deep understanding of the Fundamental Theorem of Curves. Conclude with an engaging research session on the Fundamental Theorem of Curves, solidifying your grasp of this essential mathematical concept.

Syllabus

Differential Geometry 1: Local Curve Theory.
Differential Geometry 2: Curvature.
Differential Geometry 3: Frenet-Serret.
Differential Geometry 4: Frenet-Serret Corollaries.
Differential Geometry 5: Fundamental Theorem of Curves.
Differential Geometry 6: Research on Fund Thm of Curves.


Taught by

math at andrews

Tags

Related Courses

Differential Calculus
CEC via Swayam
Calculus through Data & Modelling: Integration Applications
Johns Hopkins University via Coursera
APEX Calculus - Vector-Valued Functions
Sean Fitzpatrick via YouTube
Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization
YouTube
The Triple Spread Formula, Circumcircles and Curvature - Rational Geometry Math Foundations
Insights into Mathematics via YouTube