Syllabus
Scalar and vector fields, differentiation of vector field of a scalar variable; Gradient, divergence and curl in Cartesian and cylindrical coordinates; higher order derivatives; Vector identities and vector equations. Application to geometry: Curves in space, Curvature and torsion; Serret-Frenet’s formulae. Gauss and Stokes’ theorems, Green’s identities.
Course Curriculum
| VECTOR ALGEBRA | |||
| GRADIENT, DIVERGENCE AND CURL | |||
| Gradient | 01:12:00 | ||
| Tangent Plane and Normal | 00:18:00 | ||
| Problems on Gradient | 00:07:00 | ||
| Divergence and Curl | 00:41:00 | ||
| LINE INTEGRAL | |||
| Line Integral | 00:56:00 | ||
| GREENS THEOREM | |||
| Greens Theorem | 01:06:00 | ||
| SURFACE INTEGRAL | |||
| Surface Integral | 01:19:00 | ||
| GAUSS DIVERGENCE THEOREM | |||
| Gauss Divergence Theorem | 01:36:00 | ||
| STOKES THEOREM | |||
| Stokes Theorem | 00:56:00 | ||
| CONSERVATIVE VECTOR FIELD | |||
| Conservative Vector Field | 00:23:00 | ||
Course Reviews
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