Syllabus

Course Code: B-MAT 501    Course Name: Vector Calculus

MODULE NO / UNIT COURSE SYLLABUS CONTENTS OF MODULE NOTES
1 Scalar and vector product of vectors. Vector differentiation; Scalar Valued point functions, vector valued point functions, derivative along a curve, directional derivatives.
2 Gradient of a scalar point function, geometrical interpretation of grad . Divergence and curl of vector point function, their characteristics and examples.
3 Gradient, divergence and curl of sum and product of functions and their related vector identities. Laplacian operator.
Vector integration; Line integral.
4 Surface integral, Volume integral. Theorems of Gauss, Green & Stokes and problems based on these theorems.
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