Lecture Notes for IECV Coursework at MCC (From archives)

# Category: Calculus of Variations

## About a few Geometric Shapes and Brachistochrone Problem

What is a Catenary Curve? In physics and geometry, a catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. Catenary curves were for a long time misunderstood to be parabolas, and has a history behind this shape worth reading! (Continue reading on…

## Illustrating Simple Variation Problem

Calculus of variations is a subject where you study the extrema (maximum or minimum) of a function of functions. We know that, to find the extrema (maximum or minimum) of a “functional” of the form we first identify and substitute in Euler Equation (Or sometimes called Euler-Lagrange Equation) to obtain a Ordinary Differential Equation, solving…