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| Semester | fall semester 2022 |
| Course frequency | Every 2nd fall sem. |
| Lecturers |
Louise Gassot (louise.gassot@unibas.ch, Assessor)
Gaspard Ohlmann (gaspard.ohlmann@unibas.ch) |
| 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 | Practical lessons will be given online at scheduled time via Zoom platform. Once every two weeks the practical lessons will be given on spot at scheduled time and place according to the current COVID-19 regulations. 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 | Tuesday | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Date | Time | Room |
|---|---|---|
| Tuesday 20.09.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 27.09.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 04.10.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 11.10.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 18.10.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 25.10.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 01.11.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 08.11.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 15.11.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 22.11.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 29.11.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 06.12.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 13.12.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 20.12.2022 | 14.15-16.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Modules |
Module: Analysis and Geometry (Bachelor's Studies: Mathematics) (Pflicht) Module: Computational Mathematics (Bachelor's Studies: Computational Sciences (Start of studies before 01.08.2023)) |
| Assessment format | continuous assessment |
| Assessment details | There is a final written exam concerning the practical classes at the end of the semester. To get access to the final written exam, students have to actively participate to the practical lessons, correctly solve the 65% of the given weekly exercises. |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | Pass / Fail |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |