Week - 1 |
Hypercomplex numbers and their basic properties |
Week - 2 |
Basic operations |
Week - 3 |
Real quaternions and their physical applications |
Week - 4 |
Dual, split and hyperbolic quaternions |
Week - 5 |
Matrix representations of quaternions |
Week - 6 |
Classical octonions |
Week - 7 |
Physical applications of classical octonions |
Week - 8 |
Hyperbolic and split octonions |
Week - 9 |
Physical applications of hyperbolic and split octonions |
Week - 10 |
Matrix representations of octonions |
Week - 11 |
Midterm exam |
Week - 12 |
Sedenions |
Week - 13 |
Basic operations on sedenions |
Week - 14 |
Physical applications of sedenions |