Calculus is the mathematics of motion and change. In calculus, functions are the major tools for describing the real word in mathematical term, then we discussed all the related functions from graphs, derivatives and integrations. The book consists of a series of lectures for students of the first classes for mathematics department of the faculties of education for pure sciences and science colleges. It can also be taught to students of the first classes of the physics department of the faculties of education for pure sciences and the faculties of science. The book has been put in a very simplified way so can the beginners in the study of calculus and the willing from not the speciality to know basics about this wonderful science. The book called "Simple Calculus" of simplicity and ease of definitions and examples used in it.