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Signals and Systems: Introduction
Introduces the fundamental concepts of Signals and Systems course, emphasizing practical applications of system behavior analysis.
Signals & Systems II: Z-Transform Inversion and Convergence
Explores Z-transform inversion, convergence, and signal properties in discrete time.
Density Functional Theory: Basics and Improvements
Covers the basics of Density Functional Theory, challenges in DFT, and improvements in functional approximations and corrections for accurate calculations.
Difference Equations
Covers the concept of difference equations and properties of causal vs. stable systems.
Optimal Transport: Kantorovich Duality
Covers optimal transport and Kantorovich duality in real-life distribution problems.
Discrete Systems Analysis: Z-Transform and System Properties
Explores Z-transform, system properties, and analysis of discrete systems, focusing on stability and transfer functions.
Signals & Systems II: Roots, Equations, and Impulse Responses
Explores roots verification, stability, reproduction modeling, Z transform, and LTI systems realization.
Fourier Series: Complex Case
Covers the calculation of Fourier coefficients for periodic complex signals and the concept of a complete orthonormal system.
Discrete-Time LTI Systems
Covers the analysis of discrete-time LTI systems, including sampling systems and system responses.
Fourier Analysis: Inversion Formula and Periodic Functions
Explores Fourier inversion formula, periodic functions, and methods comparison.