Acquisition of basic knowledge in advanced mathematics and enabling students for abstract thinking and application of acquired knowledge in general and other professional courses. Development of the calculation techniques used for practical problems, project and professional courses.

Acquired knowledge is used in further education and in professional courses. The student uses and solves mathematical models using acquired mathematical knowledge. Enabling students for logical thinking and making conclusions based on the data analysis results.

Real functions of one variable. Limiting values of the functions. Testing and analysis of the function and drawing its graph. Real functions of multiple variables. Partial derivatives, total differentials. Differential calculus. Application of derived functions. Integrals. Application of integrals. Differential equations of the first order. Differential equations of the higher order. Introduction to the series theory.

Lectures and Practice. Colloquium during semester, examination (problems and test in theory) at the end of the semester. Lectures are combined. During the lectures, theoretical part of the course is presented and followed by typical examples for better understanding. During the Practice, which accompanies lectures, typical problems are solved and the knowledge from the lectures is deepened. Besides lectures and practice, consultations are held on the regular basis. Part of the course, which represents a logical whole, can be taken during the teaching process in the form of the colloquium. During the teaching process students get homework assignments which they solve individually or in a group.