1 | Know symbolic logic and proving methods and make different proof applications. |
2 | Understand set, algebra of sets, families of sets and partitions of families of sets, set products, make different applications and prove their theorems. |
3 | Understand relations, inverse and composition of relations and make different applications. |
4 | Define equivalence and ordering relations and explain some basic concepts such as partially ordered set, totally ordered set and sample them. |
5 | Know the concept of function which is a special relation, as well as some special concepts such as one to one, surjective and bijective functions and prove their theorems. |
6 | Understand combinaton of functions and inverse of fuctions, make different applications. |
7 | Explain the concept of permutation, make different applications and prove their theorems. |
8 | Explain the concept of operaiton, make different applications and prove their theorems. |
9 | Perform the arithmetic operations of matrix addition, and multiplication. |