Understanding Risk and Uncertainty

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Variance and Covariance: Properties and Examples

Explores variance, covariance, and practical applications in statistics and probability.

Central Limit Theorem: Properties and Applications

Explores the Central Limit Theorem, covariance, correlation, joint random variables, quantiles, and the law of large numbers.

Introduction to Inference

Covers the basics of probability theory, random variables, joint probability, and inference.

Probability and Statistics

Covers Simpson's paradox, probability distributions, and real-life examples in probability and statistics.

The Marriage Problem

Explores the marriage problem, modeling the process as a controlled stochastic process with dynamic programming algorithms to find the optimal policy for accepting bachelors.

Probability and Statistics: Fundamental Theorems

Explores fundamental theorems in probability and statistics, joint probability laws, and marginal distributions.

Options in Corporate Finance

Introduces the principles of options in corporate finance, covering markets, terminology, valuation, and pricing models.

Monte Carlo Methods and Direct Integration in Civil Engineering

Explores Monte Carlo methods and direct integration in civil engineering for risk analysis and management.

Probability and Statistics

Covers probability, statistics, independence, covariance, correlation, and random variables.