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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 | Tuesday | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Date | Time | Room |
|---|---|---|
| Tuesday 28.09.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 05.10.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 12.10.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 19.10.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 26.10.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 02.11.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 09.11.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 16.11.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 23.11.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 30.11.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 07.12.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 14.12.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| Tuesday 21.12.2021 | 12.15-14.00 | Spiegelgasse 1, Seminarraum 00.003 |
| 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 |