Density Functional Theory: Basics and Improvements

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Page 3 of 4

Explores signal processing fundamentals, including discrete time signals, spectral factorization, and stochastic processes.

Fourier Series and Transforms: Introduction and Properties

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Discrete-Time Fourier Transform

Explores the discrete-time Fourier transform, its properties, and signal transformations, including examples like the rectangular pulse and unit impulse.

Fourier transforms: Light-matter interaction

Explores Fourier and Laplace transforms in materials science, focusing on light-matter interaction, diffraction patterns, and crystal properties.

Electronic Structure Methods

Covers basis set errors, Hartree-Fock methods, electron correlation, configuration interaction, and composite approaches in computational chemistry.

Signals & Systems II: Z-Transform Inversion and Convergence

Explores Z-transform inversion, convergence, and signal properties in discrete time.

Fourier Transform: Circuit Analysis

Explores the Fourier transform applied to circuit analysis and its properties.

Fourier Transform: Compression and Analysis

Covers the Fourier transform, compression techniques, and spectral analysis of periodic signals.

Theoretical Foundations of DFT

Explores the Hohenberg-Kohn Theorems, electron density distributions, and the variational principle in DFT.

Discrete-Time Fourier Transform: Properties

Explores the properties of Discrete-Time Fourier Transform, including linearity, time and frequency shifts, time reversal, and convolution.