Objectives: During this course, students will develop their skill in using probability theory to analyze randomness in theoretical problems and in applications. These skills include:
Solving computational problems involving random variables, distributions, expectations, variances, conditional probabilities, Bayes' formula, Markov Chains, and limit theorems
Understanding proofs of important results in probability
Interpreting and analyzing probabilistic problems that arise in applications
Interpreting and analyzing probabilistic scenarios from the news or popular scientific results
Working with a team to apply to an interesting problem or extend your understanding of probability theory
