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Title-Vector Calculus (Code-09050203)

B.Sc. (Hon.) Mathematics – 2nd semester

S.No. Topic Domain Hours as per UGC
 

 

 

1

·         Scalar and vector product of three vectors and four vectors,

·         Reciprocal vectors

·         Vector differentiation

·         Scalar valued point function and vector valued point function,

·         Derivative along curve,

·         Directional derivatives.

 

 

 

 

Must know

 

 

 

 

15

 

 

 

 

 

2

·         Gradient of scalar point function,

·         Divergence and curl of a vector point function,

·         Characters of Div f and curl f of a vector point function

·         Gradient, Divergence and curl of sums and product and their related vector identities,

·         Laplacian operator,

·         Gradient, Divergence curl  and Laplacian operator in terms of orthogonal curvilinear coordinates, Cylindrical coordinates and Spherical coordinates.

 

 

 

 

 

 

Must know

 

 

 

 

 

 

15

 

3

·         Orthogonal curvilinear coordinates,

·         Cylindrical coordinates and Spherical coordinates.

 

Nice to know

 

15

 

 

4

·         vector integration; line integration,

·         Surface integration

·         Volume integration

·         Theorems of Gauss, Green and Stokes and problem based on these theorems

 

Must know

 

 

15

     Books Recommended:

  1. Murrary R. spiegal : Theory end Problems of Advanced Calculus, Schaum Publishing Company, New York.
  2. Shanti Narayana : A Text Book of Vector Calculus. S. Chand & Co., New Delhi.
  3. Saran and S.N. Nlgam. Introduction to Vector Analysis, Pothishala Pvt. Ltd. Allahabad.
  4. Murrary R. spiegal : Vector Analysis, Schaum Publishing Company, New York.
Admissions Open 2019-20