Lectures related to Submodular Maximization

Introduces the basics of plasma physics, covering collective behavior, Debye length, and plasma conditions.

Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.

Covers the concept of limits and continuity in real analysis.

Explores the integrality gap concept in set cover and multiplicative weights algorithms.

Explores the application of the Gauss/Green theorem to calculate curve integrals along simple closed curves.

Covers functions, including even and odd functions, periodicity, and function operations.

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores quantum backaction, noise mitigation strategies, and the analysis of quantum fluctuations.

Explores derivability and continuity of functions, showcasing examples of functions with differentiability properties.

Explores derivatives and approximations, focusing on logarithmic functions and their properties.

Introduces sets, Cartesian product, order importance, and relations on sets.

Discusses Union-Find data structures and Minimum Spanning Trees, covering algorithms and their applications in network design and optimization.

Covers uniform circular motion, airplane dynamics, and Mars retrogradation.

Explores differentiability, limits, and open sets in multivariable functions, with a focus on local minimums and continuity.

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Explores harmonic response challenges, pole manipulation, and transfer function approximation in analog systems.

Covers the analysis and properties of Linear Time-Invariant (LTI) systems.

Covers the Laplace equation, decomposition of linear problems, and solutions through separation of variables.

Explores trigonometric polynomials, periodicity, and Fourier coefficients in mathematical analysis.