Enabling students for abstract thinking and acquisition of new knowledge in Algebra and Mathematical Analysis. The goal is to develop the capability to connect notions from algebra and analysis and to perceive the possibilities for the application of the acquired knowledge.

Acquired knowledge is used in further education and in professional courses by making and solving mathematical models in professional courses using the knowledge in Algebra and Mathematical analysis. The student is encouraged to use appropriate software tools (Matlab, Mathematica).

Theoretical lectures: The field of real and complex numbers. Polynomials and rational functions. Matrix and determinants. Systems of linear equations. Vectors. Analytic Geometry in R^3. Number series. Practical lectures (Practice): Adequate examples from theoretical lectures are done during practice, thus exercising the knowledge from the lectures. Practice contributes to the better understanding of the taught knowledge.

Lectures; Numerical – computer Practice. Consultations. Lectures are combined. Theoretical part is followed by adequate examples which contribute to the clarification of the theoretical part. Computer practice accompanies lectures, and typical problems are solved and lectured knowledge is deepened. Besides lectures and practice, consultations are held on the regular basis. Part of the course, which represents a logical whole, may be passed during the teaching process in the form of 2 parts (part one: Field of real and complex numbers; polynomials and rational functions; matrix and determinants; systems of linear equations; part two: Vectors. Analytic geometry in R^3. Number series and arrays.) Oral and written part of the final examination is eliminatory.