Intensive Program Preparatory Material for the courses:
(I) Photonic crystals: numerical analysis and computer-assisted proofs
Introduction to Maxwell's equations
Guaranteed numerical bounds for eigenvalues
(III) Calculus of variations, applications to elasticity and optimization
Basics on the Lebesgue integral and the divergence theorem
Basics from functional analysis and Hilbert spaces
For both courses:
Some theoretical background on Sobolev spaces and linear elliptic equations