The department aims, through teaching the foundations of mathematics, to consolidate basic concepts such as (groups, groups of numbers, relationship, Cartesian multiplication, intervals, inequalities and their solution group). Which is considered a basis for the study of subsequent cognitive sciences in various fields such as engineering, computers, and others. And to know the end and calculate the ends of the different functions. As well as distinguishing between derivatives of different orders using (derivation rules - chain rule) accurately. And to discuss the applications of differentiation clearly.