This book has been prepared in accordance with the programs of BasicMathematics I Analysis I or Calculus I courses which are taught at the undergraduate level of the Faculties of Science and Engineering as well as the Faculties of Economics and Administrative Sciences. The book covers brief descriptions of the theorems and focusses particularly on exercises with their solutions. While these exercises support the relevant topics and theorems they are prepared to support the readers on related courses and help them prepare for exams. The content of the book is as follows: The concepts of limit and continuity for functions of one (real) variable derivative and differentiability applications of derivative optimization problems inverse-derivative concept and sketching graphs of functions.