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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

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 Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part III

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in various geometric structures and physical systems.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles - Part II

Explore advanced mathematics of Noether Theorems in calculus of variations, covering symmetries, conservation laws, and variational principles. Gain insights into differential geometric structures and their applications.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Centrum Fizyki Teoretycznej PAN

Symmetries, Conservation Laws and Variational Principles

Explore symmetries, conservation laws, and variational principles in mathematics, focusing on Noether Theorems and their applications in calculus of variations and differential geometry.

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

BIMSA

Optimal Immersions in the Calculus of Variations of Surfaces

Explore innovative minmax techniques for optimal surface immersions, including recent progress on Yau, Willmore, and 16π conjectures in calculus of variations.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

From Frank Ramsey to René Thom: Beyond Optimization

Explorez les problèmes d'optimisation en calcul des variations issus de la théorie économique et découvrez une nouvelle approche de solution basée sur les EDO implicites de Thom.

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

Introduction to the calculus of variations

8 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 Video

IIT Kharagpur;  NPTEL

Finite Element Method

Aprende el Método de Elementos Finitos para resolver ecuaciones diferenciales parciales en ingeniería estructural y traduce formulaciones FEM a código en MATLAB. Requiere conocimientos en Mecánica de Sólidos y Métodos Numéricos.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course