401-0252-00L  Mathematics II

SemesterSpring Semester 2016
LecturersA. Cannas da Silva
Periodicityyearly recurring course
Language of instructionGerman



Courses

NumberTitleHoursLecturers
401-0252-00 VMathematik II: Analysis II
Am 24.02.2016 findet anstelle der Vorlesung die Zwischenprüfung zur Leistungskontrolle als Jahreskurs statt.
5 hrs
Tue10:15-12:00HG E 7 »
Wed13:15-15:00HG F 1 »
Thu08:15-09:00HG F 1 »
A. Cannas da Silva
401-0252-00 UMathematik II: Analysis II
Di 8-10 für Studiengänge Agrarwissenschaft bzw. Lebensmittelwissenschaft
Do 9-11 für Studiengang Erdwissenschaften
Do 13-15 für Studiengang Umweltnaturwissenschaften
Do 15-17 Ausweichtermin
2 hrs
Tue08:15-10:00CAB G 52 »
08:15-10:00CHN G 42 »
08:15-10:00HG E 22 »
08:15-10:00HG E 33.3 »
08:15-10:00HG E 33.5 »
08:15-10:00HG F 26.3 »
08:15-10:00ML F 40 »
Thu09:15-11:00HG E 21 »
09:15-11:00HG E 22 »
13:15-15:00ETZ E 6 »
13:15-15:00HG F 26.3 »
13:15-15:00HG F 26.5 »
13:15-15:00LEE D 105 »
13:15-15:00LFW E 15 »
10.03.13:15-15:00ML F 36 »
A. Cannas da Silva

Catalogue data

AbstractContinuation of the topics of Mathematics I. Main focus: multivariable calculus and partial differential equations.
ObjectiveMathematics 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.
Lecture notesSee literature
Literature- Thomas, G. B.: Thomas' Calculus, Part 2, Pearson Addison-Wesley.
- Kreyszig, E.: Advanced Engineering Mathematics, John Wiley & Sons.
Prerequisites / NoticeAssistance:
Tu 17-19, We 17-19, Fr 12-14 in Room HG E 41.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a two-semester course together with 401-0251-00L Mathematics I
For programme regulations
(Examination block)
Bachelor's Degree Programme in Environmental Sciences 2011; Version 12.01.2016 (Examination Block)
Bachelor's Programme in Agricultural Science 2010; Version 13.10.2015 (Examination Block)
Bachelor's Programme in Earth Sciences 2010; Version 24.02.2016 (Examination Block)
Bachelor's Programme in Environmental Sciences 2011; Version 12.01.2016 (Examination Block)
Bachelor's Programme in Food Science 2010; Version 22.03.2016 (Examination Block)
ECTS credits13 credits
ExaminersA. Cannas da Silva
Typesession examination
Language of examinationGerman
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 180 minutes
Additional information on mode of examinationIm Rahmen der Leistungskontrolle zur Basisprüfung wird auch eine freiwillige Multiple-Choice-Zwischenprüfung in der ersten Woche des FS 2016 angeboten. Falls die Prozent-Note der Zwischenprüfung besser ist als die Prozent-Note der Prüfung des Jahreskurses in der Sommerprüfungssession 2016 (bzw. Winterprüfungssession 2017), wird die Note der Zwischenprüfung zu 20% an die Endnote angerechnet.

Die Zwischenprüfung zur Leistungskontrolle als Jahreskurs findet am 24.02.2016 statt.
Zeit: 13:15-14:55 (100 Minuten)
Ort: HG D 7.1 bzw. HG E 5 bzw. HG F 1 gemäss Einteilung
Written aids40 A4-Seiten (= 20 doppelseitige Blätter) Notizen. 1 Wörterbuch für fremdsprachige Studierende. Keine Taschenrechner, keine Laptops, keine Mobiltelefone.
Performance assessment as a semester course (other programmes)
ECTS credits7 credits
ExaminersA. Cannas da Silva
Typesession examination
Language of examinationGerman
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 90 minutes
Written aids20 A4-Seiten (= 10 doppelseitige Blätter) Notizen. 1 Wörterbuch für fremdsprachige Studierende. Keine Taschenrechner, keine Laptops, keine Mobiltelefone.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkVorlesungsinhalt
Additional linksÜbungen
Only public learning materials are listed.

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Agricultural Science BachelorFirst Year ExaminationsOInformation
Earth Sciences BachelorFirst Year ExaminationsOInformation
Food Science BachelorFirst Year ExaminationsOInformation
Environmental Sciences BachelorFirst Year ExaminationsOInformation