Curvature Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry and Curvature of Diffeomorphism Groups in Continuum Mechanics and Shape Analysis

Explore the Riemannian geometry of diffeomorphism groups, examining their curvature properties, stability conditions, and applications in continuum mechanics and shape analysis since Arnold's 1996 work.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Conformally Constrained Minimization of Total Curvature in Surface Geometry

Explore the Willmore energy concept and gradient flow analysis for immersed surfaces, focusing on rotationally symmetric tori and their convergence properties in Euclidean space.

• YouTube
• 53 minutes
• On-Demand
• Free Video

BIMSA

Negative Holomorphic Curvature and Positive Canonical Bundle

Explore the intricate relationship between negative holomorphic curvature and positive canonical bundles in complex geometry through advanced mathematical analysis.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Manifolds With Curvature Bounded Below In the Spectral Sense

Explore the geometry and topology of manifolds with bounded first eigenvalue of -γΔ + Ric, including spectral generalizations of Bishop-Gromov, Bonnet-Myers, and Cheeger-Gromoll theorems.

• YouTube
• 1 hour
• On-Demand
• Free Video

Applied Algebraic Topology Network

Spanning Trees, Effective Resistances and Curvature on Graphs

Explore the connections between spanning trees, effective resistances, and graph curvature through Kirchhoff's matrix tree theorem and electrical circuit theory applications.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Math with Professor V

How to Find Arc Length and Curvature in Calculus 3 - With Worked Examples

Master arc length and curvature calculations in 3D space using vector-valued functions through focused formulas and exam-style practice problems.

• YouTube
• 40 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Index Estimates for Constant Mean Curvature Surfaces in 3-Manifolds

Explore index estimates for constant mean curvature surfaces in 3-manifolds through advanced geometric analysis techniques and theoretical frameworks.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Recent Progress in Lagrangian Mean Curvature Flow of Surfaces - Lecture 3

Explore advanced developments in Lagrangian mean curvature flow theory for surfaces through specialized mathematical analysis and geometric insights.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Math with Professor V

How to Solve a Calculus 3 Exam Step-by-Step - Vectors, Planes, Arc Length and Curvature

Master vectors, planes, arc length, and curvature through a complete Calculus 3 exam walkthrough with detailed step-by-step solutions and problem-solving strategies.

• YouTube
• 36 minutes
• On-Demand
• Free Video

Calculus through Data & Modelling: Integration Applications

25 ratings at Coursera

Explore calculus applications through data and modeling, focusing on integration techniques for real-world problem-solving in areas like physics, economics, and geometry.

• Coursera
• 5 hours 32 minutes
• On-Demand
• Paid Course

Revit: Parametric Curvature in the Family Editor

44 ratings at LinkedIn Learning

Tame unruly parametric curves. Learn how to control the curvature of nonrectilinear geometry such as circles, arcs, arches, splines, and complex curves like cyma moldings.

• LinkedIn Learning
• 5 hours 2 minutes
• On-Demand
• Free Trial Available

Insight into Peyronie's Disease - Cause and Treatment for Penis Curvature

Comprehensive overview of Peyronie's Disease, exploring causes, diagnosis, and treatment options, including surgical interventions and latest advancements in managing penile curvature.

• YouTube
• 37 minutes
• On-Demand
• Free Video

General Relativity I: Theoretical Foundations

Discover the physics of curved spacetime, Einstein field equations, and their applications to black holes, gravitational waves, and cosmology in this introductory general relativity study.

• Coursera
• 15 hours 43 minutes
• On-Demand
• Paid Course

Insights into Mathematics

Rational Curvature, Winding, and Turning in Algebraic Topology - Lecture 11

Explores rational curvature, turn angles, and winding numbers in algebraic topology. Introduces new geometric concepts for describing polygons and planar curves, emphasizing practical applications in mathematics.

• YouTube
• 48 minutes
• On-Demand
• Free Video

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
• On-Demand
• Free Video