Все публикации

0:44:49

lecture 29: Relation between surface and volume integrals, Gauss' Divergence theorem, Applications

1:13:49

lecture 28: Surface integrals of vector fields, the Flux of a vector field, Stokes’ theorem

1:04:28

lecture 27: Surface area of graph of a function, surface integrals, applications, oriented surfaces

1:15:07

lecture 26: Parametric surfaces and areas, tangent planes, volume and area of surface of revolution

0:24:10

Appendix Lecture 25: Extension of Green's theorem to multiply connected regions and example

1:01:06

lecture 21: Triple integrals in cylindrical and spherical polar coordinates, vector fields

1:01:33

Lecture 24: Simply and multiply connected regions, Green’s theorem on a plane and its Application

1:06:13

Lecture 25: Green’s th on multiply connected region, Curl and Divergence, Vector form of Green’s th

1:12:24

Lecture 22: Line integrals along plane and piecewise smooth curves, in space and of vector fields

1:12:02

Lecture 23: Fundamental theorem for line integrals, Conservative vector fields, Independence of Path

0:18:24

Appendix Lecture 20: Change of variables in double integrals

1:00:00

Lecture 20: Triple integrals in Spherical coordinates, Change of variables in multiple integrals

1:02:28

Lecture 19: Triple integrals in Cartesian and polar coordinates, Regions of different types.

1:10:15

Lecture 18: Double integrals in polar coordinates, Application of Double integrals, Surface areas

1:04:48

Lecture 17: Iterated integrals, Double integrals over general regions, Volume between surfaces

1:04:42

Lecture 16: Volume of solid of revolution, Multiple Integrals, Double integrals over rectangles

0:04:44

appendix lecture 9: Corrigendum on finding mixed derivative.

1:04:47

Lecture 15: Langrange multipliers for more than one constraints, Areas of surface of revolution

1:02:07

Lecture 14: Closed and bounded sets, Extreme values in closed sets, Langrange multipliers.

1:09:46

Lecture 13: Maxima and Minima, Saddle and Critical points, tests for the existence of extremum.

0:26:16

appendix lecture 7: Osculating planes and circles, radius of curvature

0:53:51

Lecture 12: Implicit Differentiation, Gradient Vect., Steepest Ascent, Tangent Pl. to Level Surfaces

1:09:34

Lecture 11: Differentials, Chain rule, Directional derivatives

0:59:16

Lecture 10: Normal: Inward and Outward, Linear approximation, Differentiability