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401-1262-07L 10 Credits BSC D-CHAB , D-MATH , D-PHYS
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Analysis II: Several Variables

Analysis II: mehrere Variablen

Lecturers: Dr. Laura Kobel-Keller
Examiners: Prof. Dr. Alessio Figalli, Dr. Laura Kobel-Keller
VVZ CR n/a

Last Updated: 2026-06-01 11:33:42

Abstract

Introduction to differential and integral calculus in several real variables, vector calculus: differential, partial derivative, implicit functions, inverse function theorem, minima with constraints; Riemann integral, vector fields, differential forms, path integrals, surface integrals, divergence theorem, Stokes' theorem.

Objective

The ability to work with the basics of calculus/analysis in several variables in a mathematically rigorous way.

Content

Calculus in several variables; curves and surfaces in R^n; extrema with constraints; integration in n dimensions; vector calculus.

Resources

Literature

H. Amann, J. Escher: Analysis II https://link.springer.com/book/10.1007/3-7643-7402-0 J. Appell: Analysis in Beispielen und Gegenbeispielen https://link.springer.com/book/10.1007/978-3-540-88903-8 R. Courant: Vorlesungen über Differential- und Integralrechnung https://link.springer.com/book/10.1007/978-3-642-61973-1 O. Forster: Analysis 2 https://link.springer.com/book/10.1007/978-3-658-02357-7 H. Heuser: Lehrbuch der Analysis https://link.springer.com/book/10.1007/978-3-322-96826-5 K. Königsberger: Analysis 2 https://link.springer.com/book/10.1007/3-540-35077-2 W. Walter: Analysis 2 https://link.springer.com/book/10.1007/978-3-642-97614-8 V. Zorich: Mathematical Analysis II (englisch) https://link.springer.com/book/10.1007/978-3-662-48993-2

General Information

Language
German
Levels
BSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 150 minutes and 180 minutes
Aids
Gemäss Angaben zu den Leistungskontrollen als Semesterkurse:in der Sommerprüfungssession 2025: vom HS 2024 und FS 2025;in der Winterprüfungssession 2025/26: vom FS 2025 und HS 2025.
Die Lernelemente (BYOD) der beiden Semesterkurse gelten auch für den Jahreskurs.

Course Components

Type Title Time & Place Hours
lecture Analysis II: mehrere Variablen
Mittwoch 8-10 im HG F 7 mit Videoübertragung im HG F 5.
  • Mon 08:15-10:00 (ETA F 5)
  • Wed 08:15-10:00 (HG F 5)
  • Wed 08:15-10:00 (HG F 7)
  • Thu 16:15-18:00 (ETA F 5)
  • 09.07 Date 10:15-12:00 (ML F 40)
  • 14.07 Date 13:15-15:00 (HG E 22)
  • 28.07 Date 10:15-12:00 (HG E 22)
  • 14.08 Date 13:15-15:00 (HG E 22)
6 h weekly
exercise Analysis II: mehrere Variablen
Groups are selected in myStudies. Mo 10-12 oder Mo 16-18 (oder Mo 12-14). Dritte Übungsstunde gemäss Gruppeneinteilung (verschiedene Termine). Zusätzlich wird das StudyCenter angeboten:
  • Mon 10:15-12:00 (CAB G 56)
  • Mon 10:15-12:00 (CHN D 42)
  • Mon 10:15-12:00 (CHN D 46)
  • Mon 10:15-12:00 (ETZ E 8)
  • Mon 10:15-12:00 (ETZ E 9)
  • Mon 10:15-12:00 (HG E 33.3)
  • Mon 10:15-12:00 (HG E 33.5)
  • Mon 10:15-12:00 (HG G 26.3)
  • Mon 10:15-12:00 (LFW C 4)
  • Mon 10:15-12:00 (LFW E 13)
  • Mon 10:15-12:00 (ML H 43)
  • Mon 10:15-12:00 (ML J 34.1)
  • Mon 10:15-12:00 (ML J 34.3)
  • Mon 10:15-12:00 (ML J 37.1)
  • Mon 12:15-14:00 (CHN F 46)
  • Mon 16:15-18:00 (CAB G 52)
  • Mon 16:15-18:00 (CAB G 59)
  • Mon 16:15-18:00 (CHN E 42)
  • Mon 16:15-18:00 (LEE C 104)
  • Mon 16:15-18:00 (LFW C 11)
  • Mon 16:15-18:00 (ML J 37.1)
  • Mon 16:15-18:00 (NO D 11)
  • Tue 13:15-14:00 (CHN D 48)
  • Tue 13:15-14:00 (HG G 26.5)
  • Wed 12:15-13:00 (ML J 34.1)
  • Wed 16:15-17:00 (HG E 33.3)
  • Wed 16:15-17:00 (LEE C 114)
  • Thu 15:15-16:00 (CAB G 52)
  • Thu 15:15-16:00 (CAB G 56)
  • Thu 15:15-16:00 (CAB G 59)
  • Thu 15:15-16:00 (CHN D 48)
  • Thu 15:15-16:00 (HG E 22)
  • Thu 15:15-16:00 (HG G 26.3)
  • Thu 15:15-16:00 (LEE D 105)
  • Thu 15:15-16:00 (LFW C 4)
  • Thu 15:15-16:00 (NO D 11)
  • Fri 12:15-13:00 (CAB G 56)
  • Fri 12:15-13:00 (CLA E 4)
  • Fri 12:15-13:00 (HG G 26.5)
  • Fri 12:15-13:00 (LFV E 41)
  • Fri 12:15-13:00 (ML J 34.1)
  • Fri 13:15-14:00 (ETZ E 7)
  • Fri 13:15-14:00 (HG G 26.5)
  • Fri 13:15-14:00 (ML J 34.1)
  • 07.05 Date 14:15-16:00 (HG E 5)
3 h weekly

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