This course poses a brief introduction to the fundamentals of set theory. The main topics that comprise the course are sets and operations between sets, relations, equivalence relations and functions. Along the way, students taking this course will learn a few methods of proof and see how they arise while dealing with mathematical problems. Further, they will obtain the required knowledge for understanding courses that are formalized with the help of sets, relations between sets, operations between sets and functions defined on sets - For instance, in probability theory, a probability space is a triple - a set called the sample space, a collection of subsets of this set that satisfy specific properties and a function that maps each of these sets to a number in the real interval [0,1] , called a probability measure.

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