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| Semester | fall semester 2021 |
| Course frequency | Every fall sem. |
| Lecturers | Chiara Saffirio (chiara.saffirio@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 | 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. |
| Admission requirements | Analysis I and II. Linear Algebra I and II. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Wednesday | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Date | Time | Room |
|---|---|---|
| Wednesday 29.09.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 06.10.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 13.10.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 20.10.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 27.10.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 03.11.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 10.11.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 17.11.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 24.11.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 01.12.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 08.12.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 15.12.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Wednesday 22.12.2021 | 10.15-12.00 | Spiegelgasse 5, Seminarraum 05.002 |
| Modules |
Module: Analysis and Geometry (Bachelor's Studies: Mathematics) (Pflicht) Module: Computational Mathematics (Bachelor's Studies: Computational Sciences) Module: Specialisation in Mathematics (Bachelor's Studies: Computational Sciences (Start of studies before 01.08.2018)) (Pflicht) |
| 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 |