Set Theory (MAE714)

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Undergraduate Courses Outlines
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Department of Mathematics
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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)	See eCourse, the Learning Management System maintained by 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

See the official Eudoxus site or the local repository of Eudoxus lists per academic year, which is maintained by the Department of Mathematics. Books and other resources, not provided by Eudoxus:

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