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Lecture
Computer Simulation of Physical Systems
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Computer Simulation of Physical Systems
Explores computer simulation of physical systems, covering topics like differential equations, molecular dynamics, and Monte Carlo integration.
Stochastic Calculus: Lecture 1
Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.
Probability Distributions in Environmental Studies
Explores probability distributions for random variables in air pollution and climate change studies, covering descriptive and inferential statistics.
Brownian Motion: Theory and Applications
Covers the theory of Brownian motion, diffusion, and random walks, with a focus on Einstein's theory for one-dimensional motion.
Probability and Statistics
Delves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Probability and Statistics: Fundamental Theorems
Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.
Modes of Convergence of Random Variables
Covers the modes of convergence of random variables and the Central Limit Theorem, discussing implications and approximations.
Numerical Analysis: Stability in ODEs
Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.
Law of Large Numbers: Strong Convergence
Explores the strong convergence of random variables and the normal distribution approximation in probability and statistics.
Probability and Statistics: Fundamentals
Covers the fundamental concepts of probability and statistics, including interesting results, standard model, image processing, probability spaces, and statistical testing.
