Polymer Theory: End-to-End Distance

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Random Variables: Expected Value

Covers advanced probability concepts, including random variables and expected value calculation.

Principles of Quantum Mechanics: Wave-Particle Dualism

Explores the wave-particle dualism in quantum mechanics and the quantification of energy levels in atoms.

Quantum Mechanics: Particle in a Box

Explores quantum mechanics, emphasizing the harmonic oscillator and particle confinement in a box.

Polymer Models: Basic Observables

Introduces basic observables and simple models in polymer science, emphasizing the importance of reproducible measurements and discussing the concept of one-dimensional polymers.

Random Variables and Expected Value

Introduces random variables, probability distributions, and expected values through practical examples.

Hydrologic and Hydraulic Design

Explores the design of engineering works for floods, focusing on 100-year flood determination and the collapse of levees during extreme events.

Elements of Statistics: Probability and Random Variables

Introduces key concepts in probability and random variables, covering statistics, distributions, and covariance.

Max Entropy and Monte Carlo

Explores max entropy, Shannon's entropy, Lagrange multipliers, and Monte Carlo sampling techniques.

Sampling a Probability Distribution

Explores sampling a probability distribution and structure functions in statistical analysis.

Mc Diarmid's Inequality

Covers Mc Diarmid's inequality and its applications in probability and martingale theory.