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401-0252-00L 7 Credits BSC , GS D-HEST , D-ERDW , D-USYS
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Mathematics II

Mathematik II: Analysis II

Lecturers & Examiners: Prof. Dr. Lorenz Halbeisen
VVZ CR n/a

Last Updated: 2026-02-05 15:54:05

Abstract

Continuation of the topics of Mathematics I. Main focus: multivariable calculus and partial differential equations.

Objective

Mathematics is of ever increasing importance to the Natural Sciences and Engineering. The key is the so-called mathematical modelling cycle, i.e. the translation of problems from outside of mathematics into mathematics, the study of the mathematical problems (often with the help of high level mathematical software packages) and the interpretation of the results in the original environment. The goal of Mathematics I and II is to provide the mathematical foundations relevant for this paradigm. Differential equations are by far the most important tool for modelling and are therefore a main focus of both of these courses.

Content

- Multivariable Differential Calculus: functions of several variables, partial differentiation, curves and surfaces in space, scalar and vector fields, gradient, curl and divergence. - Multivariable Integral Calculus: multiple integrals, line and surface integrals, work and flow, Gauss and Stokes theorems, applications. - Partial Differential Equations: separation of variables, Fourier series, heat equation, wave equation, Laplace equation, Fourier transform.

Resources

Lecture Notes

See literature

Literature

- Thomas, G. B.: Thomas' Calculus, Part 2, Pearson Addison-Wesley. - Kreyszig, E.: Advanced Engineering Mathematics, John Wiley & Sons.

General Information

Language
German
Levels
BSC , GS
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 180 minutes
Aids
40 A4-Seiten (= 20 doppelseitige Blätter) Notizen. 1 Wörterbuch für fremdsprachige Studierende. Keine Taschenrechner, keine Laptops, keine Mobiltelefone.
Die in Aussicht gestellten beiden freiwilligen Multiple-Choice-Zwischenprüfungen können im FS 2021 nicht als offizielle Leistungselemente angeboten werden.Die MC-Prüfungen werden trotzdem zur Verfügung gestellt, können freiwillig gelöst werden und werden anschliessend besprochen.

Course Components

Type Title Time & Place Hours
lecture Mathematik II: Analysis II
  • Tue 10:15-12:00 (HG E 7)
  • Wed 08:15-10:00 (HG E 7)
  • Thu 10:15-12:00 (HG E 7)
5 h weekly
exercise Mathematik II: Analysis II
Groups are selected in myStudies. Di 8-10 für Studiengänge Agrarwissenschaften bzw. Lebensmittelwissenschaften. Do 8-10 für Studiengang Erd- und Klimawissenschaften. Do 14-16 für Studiengang Umweltnaturwissenschaften.
  • Tue 08:15-10:00 (CAB G 52)
  • Tue 08:15-10:00 (ETZ E 7)
  • Tue 08:15-10:00 (HG E 33.3)
  • Tue 08:15-10:00 (LEE C 114)
  • Tue 08:15-10:00 (LFW C 1)
  • Thu 08:15-10:00 (ETZ E 9)
  • Thu 08:15-10:00 (ML F 38)
  • Thu 14:15-16:00 (LEE C 114)
  • Thu 14:15-16:00 (LFW B 3)
  • Thu 14:15-16:00 (LFW E 13)
  • Thu 14:15-16:00 (ML F 40)
  • Thu 14:15-16:00 (NO C 6)
2 h weekly

Offered In