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SYLLABUS

Unit-1

Line Integrals : Introductory Example: Work done against a force – Evaluation of line integrals – Conservative vector fields – Surface Integrals: Introductory example: Flow through a pipe – Evaluation of surface integrals.

Unit-2

Volume Integrals: Evaluation of volume integrals Gradient, Divergence and Curl: Partial differentiation and Taylor series – Partial differentiation – Taylor series in more than one variable – Gradient of a scalar field-Gradients, conservative fields and potentials – Physical applications of the gradient. Unit-3 Divergence of vector field – Physical interpretation of divergence – Laplacian of a scalar field – Curl of a vector field – Physical interpretation of curl – Relation between curl and rotation – Curl and conservative vector fields.