Enabling students for abstract thinking and acquiring basic knowledge in the field of mathematical algebra and analysis.

Student is competent for making, analysing and solving mathematical models in the further education within professional courses. He is able to solve tasks from the above fields and to follows courses in which algebra and mathematical analysis are applied. Acquired knowledge is used for solving mathematical models in professional courses.

Real functions of one real variable – indefinite and definite integrals and application. Real functions of several real variables – limit value, indefiniteness, differential calculation and their application. Common differential equations of the first order. Common differential equations of the higher order; linear differential equations of the n-th order with constant coefficients; Euler`s differential equation.

Lectures. Computing practice. Consultations. In lectures, theoretical content is presented and illustrated with examples for better understanding of the course content. In computing practice, tasks are done to deepen the understanding of the presented content. Apart from lectures and practice, individual consultations are held regularly. A part of the content, making a larger logical unit, can be passed during the teaching process in the form of 2 modules. First module: Real function of one real variable – indefinite and definite integrals and application. Second module: Real functions of several real variables – limit value, indefiniteness, differential calculus and application, ordinary differential equations of the first order, linear differential equations of the n-th order with constant coefficients, Euler`s differential equation.