Week - 1 |
Vectors;
a)Scalar and vectors
b) Unit analysis
c) Coordinate systems |
Week - 2 |
Vectors;
a) Vectoral and scalar quantities
b) Properties of vectors
c) Unit vectors
d) Vector algebra and geometrical addition
e) product of two vectors |
Week - 3 |
Reduction of vector products
a) triple products
b) Levi-Civita tensor
c) Kronecker delta |
Week - 4 |
Differantial vector operators
a) Gradient
b) Divergens
c) Curl
d) Laplacian |
Week - 5 |
Line Integral
a) Integral
b) Variable forces systems |
Week - 6 |
Linear and curvilinearintegral: a) Integral b) Variable Force systems |
Week - 7 |
Green Theorem |
Week - 8 |
Divergence Theorem
a)Divergence theorem
b) Gauss Law |
Week - 9 |
Stokes Theorem |
Week - 10 |
Matrices and Determinant
a) matrices and their dimensions
b) determinant
c) matrix operations
d) special matrices
e) eigenvalue and eigenvectors |
Week - 11 |
Gamma Integral function
a)Factorial function
b) Gamma integral
c) recursion relation
d) Gamma table
e) factorial function of negative numbers |
Week - 12 |
applications of Gamma function |
Week - 13 |
Beta Integral Functions
a) Beta integral functions |
Week - 14 |
Beta Integral Functions
a) relationship between Gamma and Beta functions
b) physical application |