Lectures related to Shell Components in Meromorphic Parameter Spaces

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Covers weak derivatives, their properties, and applications in functional analysis.

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

Explores real functions, covering parity, periodicity, and polynomial functions.

Covers the basics of constrained optimization, including tangent directions, trust-region subproblems, and necessary optimality conditions.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.