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10499-03 - Practical course: Mass- und Integrationstheorie (4 CP)
| Semester | fall semester 2024 |
| Further events belonging to these CP |
10499-01 (Practical course) 10499-02 (Practical course) 10499-03 (Practical course) |
| Course frequency | Every 2nd fall sem. |
| Lecturers |
Jiří Černý (jiri.cerny@unibas.ch, Assessor)
Timo Schlüter (timo.schlueter@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 | Vormals: Reelle Analysis |
| 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 | Tuesday | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
Dates
| Date | Time | Room |
|---|---|---|
| Tuesday 24.09.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 01.10.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 08.10.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 15.10.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 22.10.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 29.10.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 05.11.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 12.11.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 19.11.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 26.11.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 03.12.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 10.12.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Tuesday 17.12.2024 | 12.15-14.00 | Spiegelgasse 5, Seminarraum 05.001 |
| 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 | 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 |