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