Enabling students to think abstractly and gain new knowledge in the field of elementary, general, abstract and linear algebra, as well as in the fundamentals of classic combinatorics.

Acquired knowledge is used in further education and professional courses. Mathematical models are designed and solved in professional courses using the material from this course.

Lectures (Theoretical lectures). Mathematical logic, propositional and predicate calculus. Set theory and set operations. Relations and functions: basic concepts, binary relation, equivalence and order relations, functions. Arrays (strings). Boolean algebra. Fundamentals of graph theory: important concepts and definitions, connectivity, special classes of graphs, isomorphism, trees, planar graphs. Polynomials, complex numbers, free vectors, determinants, systems of linear equations, vector space, matrices, characteristic roots and vectors. Analytical geometry in space (vector!). Practice lectures in practice classes adequate examples and tests from the theoretical lectures are done in order to exercise lectured theory where exercises contribute to understanding of the theory.

Lectures; Computing practice. Consultations. Lectures are dynamic and interactive. In lectures theoretical part of the course is presented accompanied by characteristic and representative examples in order to better understand the matter. In practice, which follows lectures, typical problems are solved and lectured theory is deepened. Besides lectures and practice, regular consultations and group consultations are also held. Part of the course, which is a logical unit, can be passed within the teaching process in the 2 modules.