Study program / study programs: COMPUTER MULTIMEDIA, INFORMATION SYSTEMS

Type and level of studies: Undergraduate applied studies

Subject: MATHEMATICS

Status: compulsory

ECTS credits: 8

## Course objective

The objective of the Mathematics course is the development of mathematical thinking and creating a basis for a higher level of dedication and determination on the introduction of formal definitions, the visualisation of the subject matter of mathematics and the acquisition of mathematical knowledge required for real situations.

Examples from everyday life are used to demonstrate the potential of mathematical models for solving concrete problems.

## Course outcome

Through lectures, exercise and individual work on problem solving, the students will be able to define and create truth tables for the basic logical operations (functions), to differentiate between and properly implement universal and existential quantifier, describe logical functions, to solve problems requiring the connection between logic, sets and algebra, to define set union, intersection and difference and solve problems involving these set operations, to find the Cartesian product of sets, to define a function as mapping, to differentiate between one-to-one mapping (injection), NA (surjection) and bijection, to define the limit value of a function, to define the asymptotes of a function using limit values, to be able to prove identities by mathematical induction, to perform tasks using the binomial formula, to be able to represent sets of real and imaginary numbers on coordinate axes, to define vector values, to differentiate between vectors and scalars, to be able to add and subtract vecords and multiple them by a scalar, to define a definite integral and solve problems with definite integral, to define arithmetic and geometric sequence, to perform computational operations with sequence limit values, to define d’Alembert’s,Cauchy’s and Leibniz’s criteria for series convergence, to define differential equations, to recognize the type of a differential equation, to solve differential equations.

## Course content

Theoretical classes

• The elements of mathematical logic
• sets
• algebraic structures
• matrices and determinants,
• vectors,
• real functions of real variables
• convergence and continuity
• differential calculus
• indefinite integral
• definite integral