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| Semester | fall semester 2024 |
| Course frequency | Every 2nd fall sem. |
| Lecturers | Jiří Černý (jiri.cerny@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 | German |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Thursday | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| wöchentlich | Friday | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Date | Time | Room |
|---|---|---|
| Thursday 19.09.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 20.09.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 26.09.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 27.09.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 03.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 04.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 10.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 11.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 17.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 18.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 24.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 25.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 31.10.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 01.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 07.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 08.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 14.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 15.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 21.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 22.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 28.11.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 29.11.2024 | 08.15-10.00 | Dies Academicus |
| Thursday 05.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 06.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 12.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 13.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 19.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 20.12.2024 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| 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 | main lecture 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 |