|
Week - 1 |
rings, ideals, quotient rings. |
|
Week - 2 |
integral domains, principal ideal domains. |
|
Week - 3 |
Euclidean rings, polynomial rings. |
|
Week - 4 |
vector spaces, linear transformations, matrix representation of linear transformations. |
|
Week - 5 |
Dual spaces, modules, algebra of linear transformations. |
|
Week - 6 |
eigen values, eigen vector. |
|
Week - 7 |
minimal polynomials |
|
Week - 8 |
Canonic forms |
|
Week - 9 |
Triangular form |
|
Week - 10 |
Jordan forms |
|
Week - 11 |
Rational canonic forms |
|
Week - 12 |
Hermitian transformations |
|
Week - 13 |
Unitary and normal transformations |
|
Week - 14 |
Real quadratik forms |