Cíle předmětu
The aim of the course is to familiarise students with the basics of abstract algebra, linear algebra, numerical sequences and numerical series. After completing the course, the student is able to define the basic concepts of mathematical logic and set operations, understand the logical construction in mathematics, and is able to evaluate the truth values of compound statements. They have knowledge of algebraic structures and relations. They are also able to define and understand basic concepts of linear algebra, explain matrix and determinant operations and use basic methods to solve systems of equations. They are able to define a numerical sequence, determine its terms and draw its graph. They understand the concept of limit of a sequence and are able to explain and visualise it, manage its calculation while developing their numerical skills. They are also able to describe the numerical series construction and, based on the convergence criteria, they are able to decide on the convergence or divergence of the numerical series.
Metody hodnocení
Course credit: active participation in seminars, credit assignment. Examination: written examination (50% of the final assessment), oral examination (50% of the final assessment).