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| Semester | fall semester 2022 |
| Course frequency | Every 2nd fall sem. |
| Lecturers | Louise Gassot (louise.gassot@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, link available on ADAM website. 2. "Measure and Integral. An Introduction to Real Analysis", by Wheeden and Zygmund 3. "Measure Theory and Fine Properties of Functions", by Evans and Gariepy |
| Comments | Lectures are given online via Zoom platform at scheduled time. The lectures are digitally recorded while given and then made available via ADAM website. Vormals: Reelle Analysis |
| 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 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| wöchentlich | Friday | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Date | Time | Room |
|---|---|---|
| Thursday 22.09.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 23.09.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 29.09.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 30.09.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 06.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 07.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 13.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 14.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 20.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 21.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 27.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 28.10.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 03.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 04.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 10.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 11.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 17.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 18.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 24.11.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 25.11.2022 | 08.15-10.00 | Dies Academicus |
| Thursday 01.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 02.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 08.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 09.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 15.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 16.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Thursday 22.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 23.12.2022 | 08.15-10.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Friday 20.01.2023 | 10.00-12.00 | Alte Universität, Seminarraum -201 |
| Modules |
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 |