To enable students to master the theoretical knowledge presented in the course. To develop in students the ability to recognize mathematical problems, correctly select mathematical tools, and independently calculate and interpret mathematical tasks.
. Introduction
o Set of real numbers
o The absolute value of a real number
o Mathematical induction
o Complex numbers
o Binomial formula
· Functions
o Concept of function
o Elementary functions
· Sequences of real numbers
o The notion of sequences of real numbers, some special sequences
o Limes of a sequence of real numbers
o Algebraic operations with sequences of real numbers
· Limes function, continuity
o Limes of functions, asymptotes of functions, continuity
· Derivation
o The concept of the derivation of a function
o Derivation of real functions
o Basic theorems of differential calculus
o Applications of differential calculus
· Linear algebra
o About Matrices
o Systems of linear algebraic equations
o Determinants
After completing the course, the student will be able to:
1. define the concept of real number, function, composition of functions, sequence, limit of sequence, derivation, matrix, determinant of matrix,
2. choose the right mathematical methods for solving specific mathematical problems,
3. solve mathematical problems from a given field,
4. analyse and apply the obtained results.
