Calculus of Variation Courses and Certifications

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

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

IIT Roorkee;  NPTEL

Optimal control

Explore optimization techniques for control systems, covering variational approaches, linear quadratic regulators, and dynamic programming. Learn to design controllers that satisfy constraints and optimize performance criteria.

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

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

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 Video

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 Video

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 Video

Institute for Pure & Applied Mathematics (IPAM)

Waists, Widths and Symplectic Embeddings

Explore geometric measures of manifolds and their applications to symplectic embeddings. Discover area estimates for minimal submanifolds and quantitative symplectic camels in this advanced mathematics talk.

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

Institute for Pure & Applied Mathematics (IPAM)

Entropy and C^0 Stability of Hypersurfaces - IPAM at UCLA

Explore entropy's role in hypersurface complexity, focusing on sphere rigidity, stability properties, and generalizations in higher dimensions. Gain insights into cutting-edge research in geometric analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

The Brownian Transport Map - IPAM at UCLA

Explore Lipschitz transport maps between probability measures, focusing on the Brownian transport map's construction, properties, and applications to Euclidean functional inequalities.

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

Institute for Pure & Applied Mathematics (IPAM)

Topological Properties of Hypersurfaces with Low Entropy - IPAM at UCLA

Explore topological properties of hypersurfaces with low entropy, focusing on Colding-Minicozzi entropy, mean curvature flow, and closed hypersurfaces in this advanced mathematics lecture.

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

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 Video

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 Video

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 Video

Institute for Pure & Applied Mathematics (IPAM)

Size of Line Intersections in High Dimensional L_p-Balls and Product Measures

Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.

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