MAT417: Calculus of Variations 6 credits (40-20-0)

Objectives

To investigate methods that permit the determination of maximal and minimal values of functionals.

Contents

Method of Variations in Problems with Fixed Boundaries; Variational Problems with Moving Boundaries; Extremals with Corners; One-sided Variations; Sufficient Conditions for an Extremum (of a Functional); Variational Problems Involving a Conditional Extremum (of a Functional) ; Direct Methods in Variational Problems.