MATEMATIKA

1. describe the Cartesian and polar coordinate systems in plane and space and know how to describe the basic geometry concepts in coordinate systems (points, lines, circles, spheres, plane in space); 2. recognise systems of linear equations and know how to record the system in a matrix form; 3. know the definition of limits of sequences and functions, and define the interpretation of derivatives (geometric and physical interpretation) and integrals (geometric interpretation); 4. understand and describe the specific geometric objects in the coordinate system and assess the advantages and disadvantages of the method of coordinates; 5. know the basic operations with matrices, calculate derivatives and, by using derivatives, determine the largest and smallest value of a function, as well as solve some specific tasks; 6. determine some properties of geometric objects using the method of coordinates, solve systems of linear equations by using various methods, use derivatives to solve some practical tasks related to the largest and smallest value of a function and calculate the surface area of a plane figure by using integrals; 7. determine some properties of geometric figures and solids, the relative position of the basic geometric objects, analyse systems of linear equations, and know how to calculate the surface area and volume of a plane figure or a solid; 8. know how to solve complex geometric tasks by using the method of coordinates, how to graphically represent a function, after previously determining its properties using limit values and derivatives, how to determine all properties of the specific systems of linear equations.