Course Overview: Teaser on Course ContentsOffers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.
Probability and StatisticsDelves into probability, statistics, paradoxes, and random variables, showcasing their real-world applications and properties.
Continuous Random VariablesExplores continuous random variables, density functions, joint variables, independence, and conditional densities.
Probability SpacesCovers random variables, expectation, and distributions in probability spaces.
Risk and Risk PremiumExplores risk evaluation, equivalent value, and insurance premium in lotteries, as well as discount rate adjustments.
Probability ConvergenceExplores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.