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10498-01 - Main lecture: Mass- und Integrationstheorie (4 CP)
| Semester | fall semester 2026 |
| Course frequency | Every 2nd fall sem. |
| Lecturers | Matthew Kowalski (matthew.kowalski@unibas.ch, Assessor) |
| Content | 1. Metric spaces. 2. General Measure Theory. 3. Measurable functions and integration. 4. L^p spaces. 5. Product measures and Fubini-Tonelli Theorem. |
| Learning objectives | Know and be able to apply the fundamental results of the modern Theory of Measure and Integration. |
| Bibliography | 1. "Analysis III", notes by Prof. Dr. Camillo De Lellis 2. "Measure Theory" by Donald L. Cohn 3. "Measure and Integral. An Introduction to Real Analysis", by Wheeden and Zygmund 4. "Measure Theory and Fine Properties of Functions", by Evans and Gariepy (see also ADAM webpage) |
| Admission requirements | Analysis I and II. Linear Algebra I and II. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Thursday | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| wöchentlich | Friday | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
Dates
| Date | Time | Room |
|---|---|---|
| Thursday 17.09.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 18.09.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 24.09.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 25.09.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 01.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 02.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 08.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 09.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 15.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 16.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 22.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 23.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 29.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 30.10.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 05.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 06.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 12.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 13.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 19.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 20.11.2026 | 10.15-12.00 | -- Anfrage zentraler Raum für Lehre-, -- |
| Thursday 26.11.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 27.11.2026 | 10.15-12.00 | Dies Academicus |
| Thursday 03.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 04.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 10.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 11.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Thursday 17.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Friday 18.12.2026 | 10.15-12.00 | Kollegienhaus, Hörsaal 116 |
| Modules |
Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Module: Analysis and Geometry (Bachelor's Studies: Mathematics) Module: Computational Mathematics (Bachelor's Studies: Computational Sciences (Start of studies before 01.08.2023)) |
| Assessment format | exam |
| Assessment details | Half-hour oral exam. Further information and deadlines for exam registration: https://philnat.unibas.ch/examen |
| Assessment registration/deregistration | Reg.: in 'course reg.'; dereg.: Dean of Std. Off. in writing |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |