| Code |
Course Name |
Language |
Type |
| MAT 175E |
Abstract Mathematics |
English |
Compulsory |
| Local Credits |
ECTS |
Theoretical |
Tutorial |
Laboratory |
| 3 |
4.5 |
3 |
0 |
0 |
| Course Prerequisites and Class Restriction |
| Prerequisites |
None |
| Class Restriction |
None |
| Course Description |
| Propositions, quantifiers, negation, proof techniques, sets, operations on sets, lattices, boolean algebra, relations, equivalence
and order relations, functions, composite functions, and inverse functions, finite and infinite sets, countable sets, Cantor’s
theorems, partial orders, well orders, posets, Zorn’s lemma, Peano axioms, the principle of mathematical induction,
construction of integers, ordering and divisibility, congruances, diophant equations, construction of rational numbers,
continuous fractions, construction of real numbers, operations with complex numbers, conjugate complex numbers and
modules |
|
