Enabling students for abstract thinking and acquiring basic knowledge in the field of elementar and linear algebra.

Understanding key notions and problems of general and linear algebra. Practicing to develop necessary techniques and skills for solving tasks that contribute to the usage of acquired knowledge in further education and in professional courses, as well as in designing and solving mathematical models. This course is fundamental for all other mathematical courses as well as for almost all other professional courses, so the basic outcome is to enable students to begin their work in almost all other courses.

Sets, multiset and tuples. Equivalence relations, set partitions, partial order and Hasse diagrams. Functions. Groupoids, semigroups, monoids, groups and commutative groups. Rings and fields. Complex numbers. Polynomials. Free vectors. Analytical geometry in 3D. Linear algebra.

Lectures and auditory practice. Consultations. Lectures are held in a combined manner. At lectures, theoretical part of the course content is presented and complemented by characteristic examples for easier understanding. At practice that follow the lectures, characteristic tasks are done and course content is explained in more detail.