This book is addressed to students of the 3rd grade of the Lyceum of Positive and Technological direction, but also to fellow Mathematicians (given that it includes a large and original collection of exercises). It is written based on the new syllabus provided for this class. It includes seven chapters Functions - Limit of a Function - Continuity of a Function - Differential Calculus and Integral Calculus. At the end of each chapter there are approximately 200 solved exercises and theory comprehension questions. A special appendix contains solved general application problems of the corresponding theory.

Emphasis is placed on exercises unknown in the Greek literature and on subjects of various exams and competitions (French Baccalaureate , exams of the Universities of Cambridge , London , Oxford , Moscow , Bucharest , etc., G. Putnam competition, Olympiad competitions, E.M.E competitions etc. ) .