Covers the basics of the Finite Element Method for solving complex engineering problems through element division and algebraic equations.
Explores the concept of magnetic energy and its calculation in coils.
Explores the forces exerted by light on atoms, including dipole force and radiation pressure, and discusses applications like Doppler cooling.
Covers optimization on manifolds, smoothness, tools needed for optimization, and advanced algorithms using Hessians and Riemannian connections.
Covers the basics of structural mechanics, including treating bars as springs, using the method of sections to analyze complex structures, and exploring stress concentration and the Sambhanans principle.
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
