Calculus of variations

Formal sciences
Mathematics
Analysis
Calculus

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Optimal Control Theory: Basics

Covers the fundamentals of optimal control theory, focusing on defining OCPs, existence of solutions, performance criteria, physical constraints, and the principle of optimality.

Calculus of Variation and Euler's Elastica

Covers variational methods, equilibrium shape of a bent beam, Euler's Elastica, and numerical and analytical methods.

O-Notation, Local Extrema

Covers O-Notation, local extrema, and critical points in functions.

Calculus of Variations: Introduction

Introduces calculus of variations with examples like the Brachistochrone problem in an applied context.

Nonlinear Curved Beams

Covers the mechanics of slender structures, focusing on nonlinear curved beams.

Variational Methods in Mechanics

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Calculus of Variations and Euler's Elastica

Explores the calculus of variations and Euler's Elastica in the context of beam equilibrium and inextensible elastic curves under large rotations.

Derivatives and Continuity in Mathematics

Covers derivatives, continuity, Rolle's Theorem, function examples, and extrema.

Calculus of Variations: Radon-Nikodym Theorem

Covers the Radon-Nikodym theorem and the uniqueness of signed Borel measures.

Multivariable Integral Calculus

Delves into multivariable integral calculus, covering topics like volume calculations and finding extrema under constraints.