*Instructor:* Dr. Tamás SZABADOS;

*Text: * A First Course in Probability, Seventh
Edition by Sheldon Ross

*Prerequisite: *a calculus sequence

*Course description:* This is a first course on the
mathematical tools and models of uncertainty. Not only being
interesting and challenging in itself, this field is of increasing
importance in many areas of engineering, physics, biology,
economics, and social sciences as well. In this course we cover
the basic notions and methods of probability theory, with special
emphasis on examples and problem solving..

*Topics:*

Probability in discrete sample spaces

Methods of enumeration (combinatorics)

Conditional probability and independence

Discrete and continuous random variables

Jointly distributed random variables

Properties of expectation

The Laws of Large Numbers

The Central Limit Theorem