Mathematics II MARSO2008A

Course content:
Probability and its properties.
Random variable.
Expected value, variance and standard deviation.
Estimation.tests of significance.
Correlation and regression.
Functions of several variables: graphs, level set, limits, continuity.
Partial derivatives. Chain rule. Taylor formula. Ekstrema of function of several variables.
Double integral. Integration in polar coordinates.
Triple integral.
Contour integral of scalar field. Contour integral of vector field.
Surface integral of scalar field. Surface integral of vector field.
Power series. Trigonometric series.

Learning outcomes:basic knowledge from multivariable calculus and functional series, probability and mathematical statistics; ability for its applications, especially in mechanics and control