Set Theory (MAE714)
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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 |
|
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 |
| ||||||||||
| Student Performance Evaluation |
Written examination at the end of the semester. |
Attached Bibliography
See Eudoxus. Additionally:
- Derek Goldrei, Classical Set Theory
- Γ. Μοσχοβάκη, Θεωρία Συνόλων
- R. Vaught, Set Theory, An Introduction
- Paul Halmos, Naïve Set Theory