Set Theory I
| Title | ΘΕΩΡΙΑ ΣΥΝΟΛΩΝ Ι / Set Theory I |
| Code | 0132 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Common | Yes |
| Status | Active |
| Course ID | 40000301 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 65
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Spring | - | 5.5 |
| Academic Year | 2023 – 2024 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600231297
|
Course Type 2011-2015
Knowledge Deepening / Consolidation
Mode of Delivery
- Face to face
- Distance learning
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600231297
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=15081
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Instruction, Examination)
General Competences
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
Course Content (Syllabus)
Axiomatic set theory ZF - Natural numbers and transitive sets - Binary
relations - Functions - Equipollent sets - Finite sets - Ordering relations - Well ordered
sets - Operations and ordering of natural numbers - Integers - rationales - reals.
Educational Material Types
- Notes
- Video lectures
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Course Teaching
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | 1.3 | |||
| Reading Assigment | 123 | 4.1 | |||
| Exams | 3 | 0.1 | |||
| Total | 165 | 5.5 |
Student Assessment
Description
Bi-weekly homework assignments and written final exam.
Student Assessment methods
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Assignment (Formative, Summative)
- Oral Exams (Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
- Σημειώσεις στη Συνολοθεωρία, Γ. Μοσχοβάκης, Εκδόσεις Δουβίτσας, 1993.
- ΑΦΕΛΗΣ ΣΥΝΟΛΟΘΕΩΡΙΑ, Paul Halmos, Εκδόσεις Εκκρεμές,
Κωδικός Βιβλίου στον Εύδοξο: 77108962
- Αξιωματική Θεωρία Συνόλων, Κ. Κάλφα, Εκδόσεις Ζήτη, 1990
Last Update
12-02-2024
