1. Integrational calculus of function of one veriable. Primitive function and undefinite integral. Integration of elementary functions.
2. Basic integrational methods - per partes and substitution.
3. Integration of rational functions.
4. Integration of goniometric functions and irational functions.
5. Definite integral: basic terms, their properties, Newton-Leibniz theorem. Geometrical meaning of definite integral. Substitution and per partes in definite integral.
6. Geometrical applications of definite integral - length of a curve, volume and surface of a rotating body.
7. Differential calculus of functions of two variables: its definition, graph, limits and continuity, partial derivatives of the first and higher order.
8. Equation of a tangential plane and normal to a surface. Local extrema of functions of two variables.
9. Constrained extrema of functions of two variables. Function given implicitly and its derivative.
10. Ordinary differential equations of first order: General, particular and singular solutions. Separable equations.
11. Homogeneous differential equations.
12. 1st order linear differential equation - method of variation of arbitrary constants
13. 2nd order linear differential equation with constant coefficients - method of undetermined coefficients.
14. Reserve
2. Basic integrational methods - per partes and substitution.
3. Integration of rational functions.
4. Integration of goniometric functions and irational functions.
5. Definite integral: basic terms, their properties, Newton-Leibniz theorem. Geometrical meaning of definite integral. Substitution and per partes in definite integral.
6. Geometrical applications of definite integral - length of a curve, volume and surface of a rotating body.
7. Differential calculus of functions of two variables: its definition, graph, limits and continuity, partial derivatives of the first and higher order.
8. Equation of a tangential plane and normal to a surface. Local extrema of functions of two variables.
9. Constrained extrema of functions of two variables. Function given implicitly and its derivative.
10. Ordinary differential equations of first order: General, particular and singular solutions. Separable equations.
11. Homogeneous differential equations.
12. 1st order linear differential equation - method of variation of arbitrary constants
13. 2nd order linear differential equation with constant coefficients - method of undetermined coefficients.
14. Reserve