Variational Methods in Mechanics 

offered by IISc Bangalore

Overview of Optimization Calculus of Variations

Summary of finite-variable optimization

Mathematical preliminaries for calculus of variations

Euler-Lagrange equations with and without constraints

Size optimization of a bar & Calculus of variations in 2D and 3D

Advanced concepts in calculus of variations & General framework for optimal structural design

First integrals, invariants, and Noether’s theorem & Minimum characterization of eigenvalue problems

Optimal structural design & “Inverse” of Euler-Lagrange equations