Lecturer | Prof. Özlem Imamoglu |
Course Assistant | Francesco Palmurella |
Lectures | Thursday 14–16 | First lecture 17.09.2020 |
Exercise Classes | Monday, time & place: see below | First class 21.09.2020 |
Prerequisites | Analysis I |
Course Catalogue | 401-0213-16L Analysis II |
Date & File | Content | Kowalski | Attendance Surnames |
---|---|---|---|
17 Sep | Linear ODEs | § 1, 2.1, 2.2, 2.3 | A to G |
24 Sep | Linear ODEs | § 2.3, 2.4, 2.5 | H to P |
01 Oct | Linear ODEs | § 2.3, 2.4, 2.5, 2.6 | R to Z |
08 Oct | Method of separation of variables, continuity in \(\mathbb{R}^n\) | § 2.6, 3.1, 3.2 | A to G |
15 Oct | Continuity, Limits, Open, Closed and Compact sets in \(\mathbb{R}^n\) | § 3.1, 3.2 | H to P |
22 Oct | Partial derivatives, differential | § 3.3, 3.4 | R to Z |
29 Oct | Differentiable functions, tangent spaces, chain rule | § 3.3, 3.4 | A to G |
05 Nov | Inverse Function Theorem, higher derivatives, Taylor polynomial, critical points | § 3.5, 3.6, 3.7, 3.8 | online only |
12 Nov | 2nd derivative test for critical points, line integrals | § 3.8, 4.1 | online only |
19 Nov | Conservative vector field and potentials, curl operator | § 4.1 | online only |
26 Nov | Riemann integral in \(\mathbb{R}^n\): definition, properties | § 4.2 | online only |
03 Dec | Riemann integral in \(\mathbb{R}^n\): Fubini's theorem, negligible sets, change of variables | § 4.2, 4.4 | online only |
10 Dec | Improper integrals, change of variables, geometric applications, Green's theorem | § 4.3, 4.4, 4.5, 4.6 | online only |
17 Dec | Polar and spherical coordinates, Green's theorem | § 4.4, 4.5, 4.6 | online only |
Date | Files | Due Date | Comments |
---|---|---|---|
18.09.2020 | Sheet 1 – Solution | 28.01.2020 | – |
25.09.2020 | Sheet 2 – Solution | 05.10.2020 | – |
02.10.2020 | Sheet 3 – Solution | 12.10.2020 | – |
09.10.2020 | Sheet 4 – Solution | 19.10.2020 | – |
16.10.2020 | Sheet 5 – Solution | 26.10.2020 | – |
23.10.2020 | Sheet 6 – Solution | 02.11.2020 | – |
30.10.2020 | Sheet 7 – Solution | 09.11.2020 | – |
06.11.2020 | Sheet 8 – Solution | 16.11.2020 | – |
13.11.2020 | Sheet 9 – Solution | 23.11.2020 | – |
20.11.2020 | Sheet 10 – Solution | 30.11.2020 | – |
27.11.2020 | Sheet 11 – Solution | 07.12.2020 | – |
04.12.2020 | Sheet 12 – Solution | 14.12.2020 | – |
11.12.2020 | Sheet 13 – Solution | 21.12.2020 | – |
18.12.2020 | Sheet 14 – Solution | – | Christmas serie |
Time | Room | Assistant | Language |
---|---|---|---|
Mo 10-12 | Online | Noé Canevascini | En |
Mo 10-12 | Online | Jan Adelmann | En |
Mo 10-12 | Online | Ahmet Özüdogru | En |
Mo 10-12 | Online | Pavel Lenskii | En |
Mo 10-12 | Online | Alain Bastian | En |
Mo 10-12 | Online | Simon Müller | De |
Mo 12-14 | Online | Noé Canevascini | En |
Mo 12-14 | Online | Alain Bastian | En |
Mo 14-16 | Online | Simon Müller | De |
Mo 14-16 | Online | Ahmet Özüdogru | En |
Mo 14-16 | Online | Mose Müller | En |
Mo 14-16 | Online | Pavel Lenskii | En |
Mo 16-18 | Online | Jan Adelmann | En |
Mo 12-14 | Online* | Mose Müller | En |
* Every student can attend this class.