Linear Algebra: An algebraic vector, basic terms and operations. A matrix, basic terms and operations, the rank of a matrix. Systems of linear equations. A determinant ans its properties.
The Real-Valued Function of a Real Variable: Definition, the domain of definition, the range of values, the graph of a function. Properties of functions, inverse, composite functions. Elementary functions.
The limit and the continuity of a function.
The differential calculus: Derivation definition and the geometric significance of the derivation. The derivation of elementary functions. Derivation Applications - a tangent and a normal, monotony, extreme values, convexity, concavity and inflection points of a function. Asymptotes. The behaviour of a function.
The integral calculus: An indefinite integral and a primitive function, formulas and calculation. An definite integral, calculation and and the geometric significance.