Set Theory (MAE714)

Undergraduate Courses Outlines - Department of Mathematics

General

School	School of Science
Academic Unit	Department of Mathematics
Level of Studies	Undergraduate
Course Code	MAE714
Semester	7
Course Title	Set Theory
Independent Teaching Activities	Lectures (Weekly Teaching Hours: 3, Credits: 6)
Course Type	Special Background
Prerequisite Courses	-
Language of Instruction and Examinations	Greek
Is the Course Offered to Erasmus Students	Yes (in English)
Course Website (URL)	Through the platform "E-course" of the University of Ioannina

Learning Outcomes

Learning outcomes	The plan of the course is an introduction to Axiomatic Set Theory.
General Competences	Working independently Team work Production of free, creative and inductive thinking

Syllabus

The construction of the sets of numbers (Natural, Rational and Real numbers), Axioms for the Zermelo-Fraenkel theory, the Axiom of Choice, Zorn's Lemma, Well ordered sets, Ordinal and Cardinal Numbers and arithmetic of them.

Teaching and Learning Methods - Evaluation

Delivery	Lectures\ Presentations in class
Use of Information and Communications Technology	-
Teaching Methods	Activity Semester Workload Lectures 39 Assignments/Essays 33 Individual study 78 Course total 150
Student Performance Evaluation	Written examination at the end of the semester.

Attached Bibliography

• Derek Goldrei, Classical Set Theory
• Γ. Μοσχοβάκη, Θεωρία Συνόλων
• Κ. Κάλφα, Αξιωματική Θεωρία Συνόλων
• R. Vaught, Set Theory, An Introduction
• Paul Halmos, Naïve Set Theory