Module Import 03MA2017 - Differentiation and Integration in several variables

Status: Published
Workload9 ECTS = 270 hrs
Credits, Weight9 ECTS, (n.s.)
Language of Instruction German
Semester (n.s.)
Duration1 Sem.
M/E Elective
Courses
Course No. Type Name MA/EL Workload Credits Contact Hours Selfstudy Group Size
03MA2017-1 Lecture Differentiation and Integration in several variables (n.s.) 6 ECTS = 180 hrs - 4 hrs/week = 60 hrs 120 hrs (n.s.)
03MA2017-2 Exercise Differentiation and Integration in several variables (n.s.) 3 ECTS = 90 hrs - 2 hrs/week = 30 hrs 60 hrs (n.s.)
Learning Outcomes

Die Definitionen, Sätze und Methoden der mehrdimensionalen Analysis kennenzulernen und damit zu arbeiten.

Content

(not specified)

03MA2017-1 - Differentiation and Integration in several variables

Funktionen mit mehreren Variablen, partielle Funktionen und Ableitungen, Stetigkeit, Richtungsableitungen, Gradient, Vektorfelder; totale Differenzierbarkeit, notwendige und hinreichende Kriterien für die totale Differenzierbarkeit, Kettenregel, höhere partielle Ableitungen, Taylor-Formel, notwendige und hinreichende Kriterien für lokale Extrema, lokal injektiv, Kurven, Kurvenintegrale, Bogenlänge, mehrdimensionele Gebietsintegrale, Polar- und Kugelkoordinaten, Transformationssatz, Anwendungen

Teaching Methods

(not specified)

Prerequisites

Analysis, Lineare Algebra

Examination Methods

Klausur

Credit Requirements

(not specified)

References

(not specified)

03MA2017-1 - Differentiation and Integration in several variables

Neunzert et al.: Analysis II, Walter: Analysis II

Dörfler/Peschek: Mathematik für Informatiker 

Responsible / Organizational Unit
Frey, Johannes / Mathematical Institute
Additional Information

(not specified)

Last change
Apr 24, 2018 by Frey, Johannes
Last Change Module
Sep 23, 2016 by Frey, Johannes