The article analyses certain aspects of teaching calculus at the university, especially in the groups comprising students of different age , who have had a break in the learning process, considering their motivation and readiness to study at the university. In order to achieve good results in math, it is vitally necessary to work out new methods of teaching and testing. Henceforth, it is necessary to change the teaching style from authoritarian to cooperative style. Closer cooperation among secondary school teachers and university lecturers should be established and promoted to achieve purposeful, gradual, and successful approach to the teaching process