Students gain fundamental knowledge in the field of algebra and mathematical analysis. Development of abstract thinking and analytical approach to problem solving. Students are able to use the acquired knowledge in other general and professional engineering subjects.

Students are able to apply mathematical models covered within this course. Students are able to use the acquired knowledge in further education and in professional engineering subjects as well as in their professional work.

Relations, functions and algebraic structures. The field of complex numbers. Determinants and systems of linear equations. (Crame`s rule and Gauss` algorithm) Vector algebra and analytic geometry in space P3 (straight line and plane) Matrices (operations, inverse matrix). Polynomials (polynomial zeros, factoring over the set of real and complex numbers, rational functions). Sequences (accumulation points, boundary values, convergence and divergence). Real function of one variable (boundary values and continuity). Differential calculus (derivatives, higher order derivatives and applications).

Lectures; computation practice. Individual consultations. Homework. Theoretical part of the lectures is accompanied by typical examples in order to better understand the subject matter. In practice classes, which accompany the lectures, typical problems are further explained and the knowledge from the lectures is deepened. Besides lectures and practice classes, consultations are held on a regular basis for individual students or small groups. Homework assignments are given after each finished chapter. Part of the course material, which presents one logical unit, can be passed during the teaching process in the form of the following 2 modules (the first module: algebra; the second module: mathematical analysis).