Lecture_01 variational calculus

Lecture_01 variational calculus

06_var-calc.png

Variational calculus is similar to calculus. In calculus, you can find the minimum and maximum of a function, f(x) by setting dfdx=0.

In variational calculus, we are seeking the the function, f(x), that minimizes a functional that may be a function of E=E(x, f, dfdx).

How could we use this tool to solve an applied physics problem (dynamics, solid mechanics, fluid mechanics, etc.)? choose a specific example

What work and energy would you minimize for a dynamics problem?