Syllabus of lecture
1. Double integral, calculation (triangle, closed area).
2. Coordinates transformation (Cartesian to polar coordinates).
3. Geometric and physical meaning of double integrals (center of gravity, moments of inertia).
4. Triple integral (cube, closed regular volume).
5. Coordinates transformation (Cartesian to cylindrical and spherical coordinates).
6. Geometric and physical meaning of double integrals(centre of gravity, moments of inertia).
7. Curvilinear integral of the first kind.
8. Curvilinear integral of the second kind.
9. Green's theorem.
10. Probabilities of random events: axioms of probability, conditional probability, independence.
11. Important practical distributions of discrete and continuous random variables.
12. Random variables: discrete random variables, continuous random variables, expected values.
13. Statistics.
14. Repeating.
1. Double integral, calculation (triangle, closed area).
2. Coordinates transformation (Cartesian to polar coordinates).
3. Geometric and physical meaning of double integrals (center of gravity, moments of inertia).
4. Triple integral (cube, closed regular volume).
5. Coordinates transformation (Cartesian to cylindrical and spherical coordinates).
6. Geometric and physical meaning of double integrals(centre of gravity, moments of inertia).
7. Curvilinear integral of the first kind.
8. Curvilinear integral of the second kind.
9. Green's theorem.
10. Probabilities of random events: axioms of probability, conditional probability, independence.
11. Important practical distributions of discrete and continuous random variables.
12. Random variables: discrete random variables, continuous random variables, expected values.
13. Statistics.
14. Repeating.