Lectures related to Submodular Maximization

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the application of separation of variables method to solve the heat equation.

Explores eigenfunctions, operators, and their role in quantum mechanics.

Explores general solutions of differential equations with a focus on x

Covers examples of potentials in virtual work for structural mechanics.

Explores quantum optics of resonators, covering cavity Hamiltonian, quantum Langevin equations, Purcell effect, and cavity QED.

Covers the fundamentals of integer optimization, including integer programming, dynamic programming, and approximation algorithms.