Curvature Courses and Certifications

Insights into Mathematics

Curvature, Turning Numbers and Winding Numbers - Differential Geometry

Explores advanced concepts in planar curvature, including turning numbers, winding numbers, and parametric curves. Connects to complex analysis and circular motion, offering insights into differential geometry.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

The Royal Institution

The Secrets of Einstein's Unknown Equation - Spacetime Curvature and General Relativity

Explore Einstein's lesser-known equation on spacetime curvature, its significance in general relativity, and its applications in understanding gravity, black holes, and the universe's structure.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Extrinsic Curvature Flows - Analysis and Geometry at the Interface

Explore advanced mathematical techniques in extrinsic curvature flows, covering mean curvature flow, singularities, Brakke flow theory, and applications to geometry and physics.

• YouTube
• 1 day 18 hours 51 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Curvatura de Curvas

Explore os conceitos fundamentais da curvatura de curvas através de uma apresentação matemática clara e acessível pelo renomado Instituto de Matemática Pura e Aplicada.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

ScienceClic

The Maths of General Relativity

1 rating

Discover the mathematical foundations of Einstein's general relativity through visual explanations covering spacetime, geodesics, curvature, and the Einstein equation.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

Professor Dave Explains

The 10 Things That All Flat Earthers Say

Debunking common flat Earth claims with scientific explanations and evidence, addressing misconceptions about gravity, atmosphere, moonlight, and more.

• YouTube
• 19 minutes
• Self-Paced
• Free Video

Krista King

Vector Calculus - Introduction to Vectors, Vector Functions, and Vector Fields

Master vector calculus from 3D geometry through advanced theorems including dot/cross products, line integrals, Green's theorem, and surface integrals in this comprehensive playlist.

• YouTube
• 12 hours 10 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

On the Gradient-Flow Structure of Multiphase Mean Curvature Flow - Tim Laux

Explore the gradient-flow structure of multiphase mean curvature flow, covering theoretical aspects, previous work, and key concepts in this advanced mathematical analysis seminar.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

Insights into Mathematics

Quadratic Curvature for Algebraic Curves - Differential Geometry Lecture 14

Explores quadratic curvature for algebraic curves, extending from parabolas to general conics. Discusses connections between curvature and foci, emphasizing the power of formulas in differential geometry.

• YouTube
• 33 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Basic Notions Seminar on Mean Curvature Flow of Closed Hypersurfaces

Explore mean curvature flow of closed hypersurfaces, from basic definitions to advanced topics, including variational aspects and key theorems like Grayson's and Huisken's.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Dynamics, Symmetry and Asymmetry of Ancient Solutions to Mean Curvature Flow - ODE Techniques in Curvature Flows

Explore ODE techniques in curvature flows, focusing on dynamics, symmetry, and asymmetry of ancient solutions to mean curvature flow. Gain insights from expert Sigurd Angenent.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Insights into Mathematics

The Curvature of a Parabola, Without Calculus - Rational Geometry Math Foundations

Algebraic approach to calculate parabola curvature without calculus, using circle circumquadrance and triangle properties. Demonstrates wider applicability to various algebraic curves.

• YouTube
• 24 minutes
• Self-Paced
• Free Video

HandleBar3D

Understanding Curvature and CV Massaging

Explore curvature in NURB modeling, from basic concepts to advanced techniques like CV massaging, to create smoother 3D forms and improve surface transitions.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Society for Industrial and Applied Mathematics

The Thresholding Scheme for Mean Curvature Flow and De Giorgi's Ideas for Gradient Flows

Explores the thresholding scheme for mean curvature flow in multi-phase systems, its applications in grain growth, and convergence proofs based on De Giorgi's gradient flow ideas.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

GDC

Winding Road Ahead - Designing Utility AI with Curvature

Explore intuitive AI behavior design using curvature in utility systems. Learn knowledge representation, influence data, and natural language considerations for creating dynamic game characters.

• YouTube
• 30 minutes
• Self-Paced
• Conference Talk