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

Classical Mechanics

Master advanced mechanics through Lagrangian and Hamiltonian formulations, covering variational principles, canonical transformations, and relativistic dynamics for competitive physics exams.

• 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

Wrath of Math

The Moving Sofa Problem - A 60-Year Mathematical Quest for the Optimal Solution

Delve into the fascinating 60-year mathematical journey of the moving sofa problem, from its 1966 origins to the recent breakthrough solution proving Gerver's sofa as the optimal design.

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

Fertig Research Group: Multiscale Failure of Materials

Variational Methods and Energy Principles in Mechanics

Master variational calculus and energy principles in mechanics through functionals, Euler-Lagrange equations, and applications to elasticity problems.

• YouTube
• 5 hours 47 minutes
• On-Demand
• Free Video

Physics Explained

The One Principle That Explains All of Physics

Discover how the Action Principle unifies all physics, from mechanics to relativity, revealing why objects follow specific paths and connecting energy concepts to fundamental laws.

• YouTube
• 36 minutes
• 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

ICTP Mathematics

Partial Differential Equations - Lecture 25

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 28

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in various scientific fields.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 24

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and their applications in this comprehensive lecture.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 21

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

ICTP Mathematics

Partial Differential Equations - Lecture 13

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

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

ICTP Mathematics

Partial Differential Equations - Lecture 8

Explore advanced concepts in partial differential equations, focusing on complex mathematical theories and problem-solving techniques in this comprehensive lecture.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video