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Symmetry and Group TheoryIntroduces symmetry and group theory concepts in chemistry, including symmetry operations, molecular symmetry, and NMR spectra interpretation.
Matrix Symmetry ProofCovers the proof of the symmetry of a matrix through exercises involving symmetric matrices.
DTFT PropertiesCovers the properties of the Discrete-Time Fourier Transform, including linearity, shifts, time reversal, differentiation, convolution, conjugate symmetry, and Parseval's Relation.
Matrix Powers and InverseCovers matrix powers, the inverse of a 2x2 matrix, and its application to linear systems of equations.
Symmetry and Group TheoryExplores symmetry and group theory applications in chemistry, covering matrix representations, normal modes, and harmonic oscillators.