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VECTOR CALCULUS-B.SC/B.A-I
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Section 1
Scalar and vector product of three vectors, product of four vectors. Reciprocal vectors.
Vector differentiation. Scalar Valued point functions, vector valued point functions, derivative along a curve, directional derivatives
Section 3
Gradient of a scalar point function, geometrical interpretation of grad ) , character of gradient as a point function. Divergence and curl of vector point function, characters of Div f & and Curl f & as point function, examples.
Gradient, divergence and curl of sums and product and their related vector identities. Laplacian operator.
Section 4
Orthogonal curvilinear coordinates Conditions for orthogonality fundamental triad of mutually orthogonal unit vectors.
Gradient, Divergence, Curl and Laplacian operators in terms of orthogonal curvilinear coordinates, Cylindrical co-ordinates and Spherical co-ordinates.
Section 5
Vector integration; Line integral, Surface integral, Volume integral.
Theorems of Gauss, Green & Stokes and problems based on these theorms.
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VECTOR CALCULUS-B.SC/B.A-I
टीचर:
Dr. Parveen Kumar .
Skill Level
:
Beginner