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Explores differentiability, continuity, solutions, and uniqueness in differential equations, emphasizing well-posed problems and real-world applications.
Explores variational principles in quantum mechanics, including sudden and adiabatic approximations, and their application to the time-dependent Schrödinger equation.
Explores diagonalization of matrices through eigenvalues and eigenvectors, emphasizing distinct eigenvalues and their role in the diagonalization process.
