This is a perfect course for the ones who want to excel at rigorous math and who want to be a discoverer or inventor with a heuristic mindset!

Heuristic is the study of discovery and invention. Heuristic mindset is the basis of all discovery and invention in the history of human beings.

In this course we will see the general outline of MODERN HEURISTIC. The course has 3 main parts:

Logic:In this part we will see the basic and advanced concepts in logic that lay the foundation of building rigorous mathematical arguments.

Proofs:Here, we will cover general proof techniques in mathematics. Proofs techniques include:

direct proof

proof by contraposition

proof by contradiction

proof by cases

existence and uniqueness proof

proof with sets

proof by mathematical induction

combinatorial proofs

Modern Heuristic:This part includes the general steps and advices in approaching problems. We will use the steps and advices mentioned in this section combined with logic and proof techniques to learn how to solve complex problems and how to prove mathematical statements.

The course will be updated several times a month with new problems and sections according to the demand of the students. Especially Modern Heuristic section will be updated every week with new concepts and problems.