|
Week - 1 |
Quadratic Residues |
|
Week - 2 |
Euler's criterion |
|
Week - 3 |
The Legendre symbol and its properties. |
|
Week - 4 |
Gauss' lemma |
|
Week - 5 |
Quadratic reciprocity law |
|
Week - 6 |
Jacobi symbol |
|
Week - 7 |
Quadratik congruences with composite moduli. |
|
Week - 8 |
Finite continued fractions. |
|
Week - 9 |
Infinite continued fractions |
|
Week - 10 |
Solutions of Diophantine equations using continued fractions |
|
Week - 11 |
Pell's equation. |
|
Week - 12 |
Two square and four square theorems |
|
Week - 13 |
Irrationality of Pi. |
|
Week - 14 |
Transcendence of e. |
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