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

 S.No. Content of the topics Learning Objectives Teaching Guidelines Methodology Time (Hours) 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. Student s will know about vector product and vector function Lecture should be effective so that student will be able to grasp the topics easily Assignments/Seminars/ Class tests/Presentations 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. Students will know about Gradient, Divergence and curl of functions and curvilinear coordinates Lecture should be effective so that student will be able to grasp the topics easily Assignments/Seminars/ Class tests/Presentations 15 3 ·      Orthogonal curvilinear coordinates, ·      Cylindrical coordinates and Spherical coordinates. Students will know about  curvilinear coordinates Lecture should be effective so that student will be able to grasp the topics easily Assignments/Seminars/ Class tests/Presentations 15 4 ·      Vector integration; line integration, ·      Surface integration ·      Volume integration ·      Theorems of Gauss, Green and Stokes and problem based on these theorems Students will know about the vector integration Lecture should be effective so that student will be able to grasp the topics easily Assignments/Seminars/ Class tests/Presentations 15

Books Recommended:

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