Technical Information

• For Thursday's lectures, attendance is now exclusively online.
• For Monday's exercise classes, attendance is now exclusively online. The assistant of each class will send the pertaning Zoom coordrdinates.
• Every Wednesday from 18 to 20 a virtual study center takes place via Zoom. An assistant will be available via Zoom to answer questions about the course or the exercises. Please note:
  • The Zoom coordinates are listed at the learning material page in myStudies.
  • If you want to ask a question, you should be in the room no later than 19:30.
  • The assistants can decide to end the meeting either at 19:30 if no student is in the room or after 20:00 even if someone is still waiting.
• Live broadcasting of the lectures is streamed here.
• Archived videos are available here.
• We opened a course channel on ETH's EduApp for students attending the lectures online.

References

Primary

• E. Kowalski, Analysis II for INFK, version of 12 December 2019
• Notes from the lectures

Extra

• M. Struwe, Analysis für Informatik (errata)
• C. Blatter, Analysis (archive), chapters 8–14
• T. Apostol, Calculus vol. 2, 2nd edition, Wiley 1969

Lectures

• Attendance is now possible exclusively online. The live broadcasting here.
• The files are updated any time a students spots a typo (thanks!).

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

Exercises

• An exercise sheet is uploaded every Friday. The corresponding solution appears shortly after the due date.
• You have the possibility to hand in your solution to all or only to some of the exercises to your assistant and have it corrected by your teaching assistant.
• Please register to a class in myStudies. Due to the current situation, all classes take place now place online. The assistant will send you the Zoom coordinates.
• Everyone can attend Mose's Mo 12-14 online class. The Zoom link is listed at the "learning materials" section in the myStudies page of the course. The corresponding password is communicated via email.
• Handing in is possible exclusively online, via the SAMUpTool. When not on an ETH newtork, a VPN is required to access. On the same platform the assistant will upload the corrected and commented submission.
• You may hand in only to the assistant of the class you registered to; you may do that even if you do not attend the corresponding class.
• Handing in your solutions to exercises does not directly contribute to the final grade. But it is a good way to test your preparation and understanding of the subject, even when it is done irregularly.
• If you have trouble solving a particular exercise, do not understand the solution or have any other question, do not refrain from asking or mailing your teching assistant or the course assistant.
• The files are updated any time a students spots a typo (thanks!).

Exercise Sheets

Exercise Classes

Mose's Mo 12-14 Online Class Recordings