Mathematics I

Syllabus of lecture
1 Linear algebra: Matrice (basic properties), determinants (basic properties, calculation, evaluation)
2 Matrix inversion
3 Systems of linear equations, Cramer’s rule
4 Gaussian elimination
5 Product of vectors (basic properties)
6 Analytical geometry in E3

7 Functions of one real variable (definitions and basic properties)
8 Elementary functions
9 Limit of the function, continuity of the functions , basic rules
10 Differential calculus functions of one real variable. the derivative of function (basic rules for differentiation)
11 Derivatives of selected functions
12 Differential of the function, parametric differentiation, highes-order derivative
13 Applications of the derivatives
14 Monotonic functions and extremes of function, convexity and concavity of a function