Calculus of Variation Courses and Certifications

Institute for Pure & Applied Mathematics (IPAM)

Variational Proofs of Isoperimetric Inequalities

Explore variational proofs of isoperimetric inequalities, their generalizations, and open problems in this advanced mathematics lecture by Steven Heilman at IPAM's workshop.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Eigenvalue Estimates for P-Laplace Problems & Domains in Fermi Coordinates

Explore explicit and sharp eigenvalue estimates for Neumann p-Laplace eigenvalues in domains represented in Fermi coordinates, presented by Barbara Brandolini at IPAM's Calculus of Variations workshop.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

On Ulam's Problem 19 and Related Problems - IPAM at UCLA

Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

On a Conjectural Symmetric Version of the Ehrhard Inequality

Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.

• YouTube
• 24 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Singularities and Diffeomorphism - IPAM at UCLA

Explore singularities and diffeomorphism in calculus of variations, covering special cases, classification, and applications in probability and geometry.

• YouTube
• 32 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture IV

Explore advanced concepts in free boundary problems, focusing on regularity in obstacle problems. Learn key results, current research, and open challenges in this mathematical field.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Society for Industrial and Applied Mathematics

Exploring Variational Functions - Calculus of Variations and Geometric Measure Theory

Dive into variational problems and bounded Hessian functions with Luigi Ambrosio. Explore the intersection of Calculus of Variations and Geometric Measure Theory, inspired by machine learning insights.

• YouTube
• 48 minutes
• On-Demand
• Free Online Course

Introduction to the calculus of variations

7 ratings at OpenLearn

This free course concerns the calculus of variations. Section 1 introduces some key ingredients by solving a seemingly simple problem – finding the shortest distance between two points in a plane. ...

• OpenLearn
• 16 hours
• On-Demand
• Free Certificate

NPTEL;  IIT Kanpur

Calculus of Variations and Integral Equations

In this course you will learn, Calculus of Variations, Integral Equations, Concepts of the calculus of variations, Variational problems with the fixed boundaries, Variational problems with moving boundaries, etc.

• YouTube
• 1 day 12 hours
• On-Demand
• Free Online Course

Mathematics

Explore advanced mathematical concepts including closed sets, matrices, calculus variations, probability, and complex analysis. Gain insights into diverse topics for a comprehensive understanding of higher mathematics.

• YouTube
• 15 hours
• On-Demand
• Free Online Course

Optimal Control, Guidance and Estimation

Comprehensive exploration of optimal control theory, guidance systems, and estimation techniques for aerospace applications, covering LQR, dynamic programming, and Kalman filters.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Online Course

Ross Dynamics Lab

Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

Explore variational principles in mechanics, including the Principle of Least Action and Lagrange's equations. Learn calculus of variations techniques and their applications in physics and engineering problems.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Harmonic Analysis Techniques for -Almost- Minimizers

Explore harmonic analysis techniques for (almost-)minimizers, focusing on free boundary theory and calculus of variations. Learn about applications to geometric measure theory and domain geometry.

• YouTube
• 45 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems - Lecture III

Explore free boundary problems in PDE, focusing on regularity of solutions and interfaces. Learn about Stefan and obstacle problems, key results, and current research challenges.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Regularity of Free Boundaries in Obstacle Problems Lecture I

Explore regularity of free boundaries in obstacle problems, covering key concepts, proofs, and current research in this mathematical field of PDE and Geometric Measure Theory.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course