| 1 | Defines the induction method, well ordering principal and solves the related problems. |
| 2 | Dfines the divisibility on integers, Division Algorithm, Euclid Algorithm and solves the related problems. Knows the properties of prime numbers and fundeental theorem of algebra. |
| 3 | Solves the Diophantine equations. |
| 4 | Knows the congruences andits properties and solves the system of linear congruence equations by thehelp of Chiniese Remainder Theorem. |
| 5 | Knows the Fermat and Wilson Theorems. |
| 6 | Defines the Euler phi function by Euler expansion of Ferma's Theorem and knows the Euler Theorem. |
| 7 | Defines the primitive roots, indices and knows the related properties. |
| 8 | Defines the concept of quadratic rezidue and examines the solution methods with some rules. |
| 9 | Knows the finite and infinite continuous fractions and solves the related problems. |