1800 102 5661

### Title-Vector (Code-09010103)

 S.N Unit Content Learning objects Teaching Guidelines Methodology Time (Hrs) 1 one ·         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. Students will be able to   1.  Scalar and vector quantities. 2. Types of vector. 3. Directional vector. Lecture should be effective so that student can grasp the topics easily. 1. Lecture. 2.  Seminar. 3. Discussion/Interaction with Students. 4. Assignment. 5.  Discussion on Assignment. 6. Evaluation of Assignment. 15 2 Two ·         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. To make students familiar with Curl, Divergence, Gradient and its properties. Laplacian operator ,spherical and curvilinear coordinates etc. Lecture should be effective so that student can grasp the topics easily. 1.    Lecture. 2.     Seminar. 3.    Discussion/Interaction with Students. 4.    Assignment. 5.    Discussion on Assignment. 6.    Evaluation of Assignment 15 3 Three ·         vector integration; line integration, ·         Surface integration ·         Volume integration ·         Theorems of Gauss, Green and Stokes and problem based on these theorems Students will be able to   1. Evaluate vector integration of Surface& Volume . 2.  Theorems of Gauss, Green and Stokes and problem based on these theorems Lecture should be effective sothat student can grasp the topics easily. 1.    Lecture. 2.    Seminar. 3.    Discussion/Interaction with Students. 4.    Assignment. 5.    Discussion on Assignment. 6.    Evaluation of Assignment 15