Lectures: 

Lecture 1: Syllabus; Class Rules; Introduction to Probability

Lecture 2: The Conditional Probability Space

Lecture 3: The Rules of Multiplication

Lecture 4: Random Variables

Lecture 5: More on Distributions

Lecture 6: Expectation

Lecture 7: Functionals of Distribution Function

Lecture 8: Moment Generating Function

Lecture 9: Closeness of Random Variables

Lecture 10: Concentration Inequalities

Lecture 11: Law of Large Numbers

Lecture 12: Central Limit Theorem

Lecture 13: Statistical Estimation

Lecture 14: Estimation Methods

Lecture 15: Estimation Error and MLE

Lecture 16: Estimation Error and Nonparametric Statistics

Lecture 17: Plug-In Estimators

Lecture 18: Hypothesis Testing