Lectures related to Kinetic Theory of Gases: Maxwell's Distribution

Kinetic Theory: Distribution Function Evolution

Explores the evolution of the distribution function describing particles in phase space.

Plasma Physics: Self-consistent Description

Covers the self-consistent description of a plasma and conservation principles.

Explores continuous random variables, density functions, joint variables, independence, and conditional densities.

Explores distribution functions in electron theory, comparing Maxwell-Boltzmann and Fermi-Dirac statistics for energy transitions.

Fluid Quantities and Two-Fluid Model

Covers fluid quantities, moments of kinetic equation, two-fluid model, and plasma turbulence simulation.

Probability and Statistics

Explores joint random variables, conditional density, and independence in probability and statistics.

Plasma Physics: Impact Ionisation and Random Walk

Explores impact ionisation in plasma physics and the random walk model as a key challenge in understanding plasma confinement.

Normal Distribution: Properties and Calculations

Covers properties and calculations related to the normal distribution, including probabilities and quantiles.

Continuous Random Variables

Covers continuous random variables, probability density functions, and distributions, with practical examples.

Causal Systems & Transforms: Delay Operator Interpretation

Covers z Variable as a Delay Operator, realizable systems, probability theory, stochastic processes, and Hilbert Spaces.

From Boltzmann to Vlasov equation

Discusses the derivation of Vlasov equation from Boltzmann equation, conservation laws, and formal solutions.

Chemical Equilibria and Reactivity

Explores gas properties, pressure, ideal and real gases, energy in reactions, and gas laws.

Radiative Exchange: Specular View Factors

Covers specular view factors, radiative exchange, energy transfer, and numerical integration methods in thermal radiation.

Probability Distributions: Central Limit Theorem and Applications

Discusses probability distributions and the Central Limit Theorem, emphasizing their importance in data science and statistical analysis.

Heterogeneous Catalysis: Basics and Kinetics

Covers the basics of heterogeneous catalysis and the importance of transition state theory in predicting reaction rates.

Random Variables: Expectation and Independence

Explores random variables, expectation, and independence in probability theory.

Continuous Random Variables: Basic Ideas

Explores continuous random variables and their properties, including support and cumulative distribution functions.

Kinetic Theory of Gases: Maxwell-Boltzmann Distribution

Explores the Kinetic Theory of Gases and the Maxwell-Boltzmann Distribution.

Fundamental Limits of Gradient-Based Learning

Delves into the fundamental limits of gradient-based learning on neural networks, covering topics such as binomial theorem, exponential series, and moment-generating functions.

Chromatographic Models: Theory and Applications

Explores chromatographic models, including Gaussian and binomial distribution models, and their applications in chromatography.