Week - 1 |
Preliminaries: Propositions, sets, relations, functions, partial order relations, supremum, infimum, binary operations. |
Week - 2 |
The natural number system |
Week - 3 |
Peano's axioms |
Week - 4 |
Ordering of the natural numbers |
Week - 5 |
Integers and their properties |
Week - 6 |
Properties of integers |
Week - 7 |
Rational numbers and their properties |
Week - 8 |
Cauchy sequences |
Week - 9 |
Real numbers as limits of cauchy sequences |
Week - 10 |
Properties of real numbers |
Week - 11 |
Dedekind cut |
Week - 12 |
Zorn's Lemma and axiom of choice |
Week - 13 |
Construction of real numbers by Dedekind cut. |
Week - 14 |
Complex numbers and properties |