Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Quantum Physics IIntroduces key quantum physics concepts such as commutators, observables, and the Schrödinger equation, emphasizing the importance of diagonalization and energy eigenvalues.
Quantum EigenfunctionsCovers quantum eigenfunctions and the importance of A and B commuting for the same set of eigenfunctions.
Curves in the Oriented PlaneExplores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.
Quantum Physics ICovers the basics of quantum physics, including vector spaces, state vectors, operators, and measurements.
Quantum Mechanics BasicsCovers the basics of quantum mechanics, focusing on Hamiltonian operator and Schrödinger equations.