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

Student is competent for using acquired knowledge in further education within professional courses, as well as for making, analysing and solving mathematical models.

The field of real and complex numbers. Determinants and szstems of linear equations. Matrices and matrix calculation. Vector algebra in space . Analytic geometry in space – line, plane. Polynomials and rational functions. Sets. Real functions of one real variable – limit value, continuity, differential calculus and application.

Lectures. Computing practice. Consultations. In lectures, theoretical content is presented and illustrated with examples. In practice, characteristic tasks are done to deepen the understanding of the presented content. Apart from lectures and practice, individual consultations are held regularly for further explanations of the course content. A part of the content, making a larger logical unit, can be passed in the form of the two parts. First part: Field of real and complex numbers. Determinants and szstems of linear equations. Matrices and matrix calculus. Vector algebra in space. Analytic geometry in space – line, plane. Polynomials and rational functions. Second part: Sets. Real functions of one real variable – limit value, continuity, differential calculus and application.