YMX0233 Mathematical analysis II
Topic outline
-
Functions of two and three variables. The graph of function of two variables. Limit and continuity of function of two variables
-
Partial derivatives of functions of two and three variables. Total differential. Partial derivatives of higher order.
-
Gradient of scalar field. Divergence and cull of vector field. Local extrema of function of two variables
-
Double integral. Evaluation of double integral. Double integral in polar coordinates
-
Triple integral. Evaluation of triple integral. Triple integral in cylindrical coordinates
-
Line integral of scalar field. Line integral of vector field. Green's formula. Path independent line integrals
-
Surface integral with respect to area of the surface. Surface integral over the projection of the surface
-
The series. The tests for convergence of series.
-
Here You can find individual exercises provided with answers at the end of the file