Set Theory (MAE714)

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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)

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