Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Equivalent sets and construction of natural numbers Review of the relevant pages from sources
2 Mathematical induction and solving problems Review of the relevant pages from sources
3 Construction of integers Review of the relevant pages from sources
4 Properties of integers Review of the relevant pages from sources
5 Arithmetic in the set of integers Review of the relevant pages from sources
6 Fundamental theorem of aritmetic and solving problems Review of the relevant pages from sources
7 Euler´s function Review of the relevant pages from sources
8 Mid-term exam Review of the topics discussed in the lecture notes and sources
9 Construction of rational numbers Review of the relevant pages from sources
10 Field structures of rational numbers Review of the relevant pages from sources
11 Properties of rational numbers Review of the relevant pages from sources
12 Cauchy sequence and construction of real numbers Review of the relevant pages from sources
13 Properties of the set of real numbers Review of the relevant pages from sources
14 Countability and cardinalities of sets Review of the relevant pages from sources
15 Cardinalities of sets, final exam Review of the relevant pages from sources
16-17 Final exam Review of the topics discussed in the lecture notes and sources

Recommended or Required Reading
TextbookF. Çallıalp, Soyut Matematik, İstanbul Technical Üniv. İstanbul, 1995.
Additional Resources
S. Akkaş, H.H. Hacısalihoğlu, Soyut Matematik, Gazi Üniversitesi press No:43, Ankara, 1984.
A. Dönmez., Kümeler Kuramı ve Soyut Matematik, Atatürk University press No. 638, Erzurum, 1987.