Measure Theory
| Title | ΘΕΩΡΙΑ ΜΕΤΡΟΥ / Measure Theory |
| Code | 0231 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Dimitrios Betsakos |
| Common | Yes |
| Status | Active |
| Course ID | 40000497 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 101
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | Spring | - | 5.5 |
| Academic Year | 2020 – 2021 |
| Class Period | Spring |
| Faculty Instructors |
|
| Weekly Hours | 3 |
| Class ID | 600166761
|
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600166761
Erasmus
The course is also offered to exchange programme students.
General Competences
- Apply knowledge in practice
- Make decisions
- Work autonomously
- Advance free, creative and causative thinking
Course Content (Syllabus)
Lebesgue measure on the real line - Measurable functions - Lebesgue
integral - Monotone and dominated convergence theorems - Comparison of integrals of
Riemann and Lebesgue - The fundamental theorem of Calculus for Lebesgue integral -
Abstract measure theory - Signed and complex measures - Product measures - Fubini’s
theorem.
Educational Material Types
- Notes
- Book
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
Student Assessment methods
- Written Exam with Short Answer Questions (Summative)
- Written Exam with Extended Answer Questions (Summative)
- Written Exam with Problem Solving (Summative)
Bibliography
Course Bibliography (Eudoxus)
- Εισαγωγή στην Πραγματική Ανάλυση, Δ. Μπετσάκος, Αφοι Κυριακίδη Εκδόσεις Α.Ε., 2016.
- Πραγματική Ανάλυση, Π. Ξενικάκης, Ζήτη, 1995.
Last Update
15-03-2020
