1. Linear algebra - vectors, matrixes, determinant, linear transformation in plane and space.
2. Systems of linear equations - solution, Gauss' elimination method, Cramer's rule, interpretation in plane and space.
3. Functions of one and more real variables, properties, graphs, elementary functionse.
4. Differential calculus of functions of one real variable, applications (extreme values, differentials, Taylor series).
5. Differential calculus of functions of two and more real variables (gradient, extreme values, Taylor series).
6. Applications of the differential calculus in design.
7. Interpolation and approximation - Lagrange a Newton interpolation polynomials, splines, the least squares approximation method.
8. Indefinite integral - basic formulas, integration by parts, substitution method.
9. Definite integral - calculation, geometrical meaning, applications.
10. Numerical differentiation and integration.
11. ODE - solution, meaning, initial values problems, separable ODE.
12. 1st and 2nd order linear ODE.
13. Numerical solution of 1st order ODE - Euler's method, RK4.
2. Systems of linear equations - solution, Gauss' elimination method, Cramer's rule, interpretation in plane and space.
3. Functions of one and more real variables, properties, graphs, elementary functionse.
4. Differential calculus of functions of one real variable, applications (extreme values, differentials, Taylor series).
5. Differential calculus of functions of two and more real variables (gradient, extreme values, Taylor series).
6. Applications of the differential calculus in design.
7. Interpolation and approximation - Lagrange a Newton interpolation polynomials, splines, the least squares approximation method.
8. Indefinite integral - basic formulas, integration by parts, substitution method.
9. Definite integral - calculation, geometrical meaning, applications.
10. Numerical differentiation and integration.
11. ODE - solution, meaning, initial values problems, separable ODE.
12. 1st and 2nd order linear ODE.
13. Numerical solution of 1st order ODE - Euler's method, RK4.