401-0252-00L  Mathematics II

SemesterSpring Semester 2023
LecturersA. Cannas da Silva
Periodicityyearly recurring course
Language of instructionGerman



Courses

NumberTitleHoursLecturers
401-0252-00 VMathematik II: Analysis II5 hrs
Tue10:15-12:00HG G 3 »
Wed/2w08:15-10:00HG G 5 »
Thu10:15-12:00HG G 3 »
A. Cannas da Silva
401-0252-00 UMathematik 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.

Zusätzlich wird das Mathe-Lab (Präsenzstunden) angeboten:
Mo 12-14 (bis 6. März im HCP E 47.1) ab 13. März im HCP E 47.3 und Mi 12-14 im HG E 41.
2 hrs
Tue08:15-10:00CAB G 52 »
08:15-10:00ETZ E 7 »
08:15-10:00HG E 33.3 »
08:15-10:00LFW C 1 »
Thu08:15-10:00ETZ F 91 »
08:15-10:00ML F 40 »
14:15-16:00HG G 26.5 »
14:15-16:00LEE C 114 »
14:15-16:00LFW B 2 »
14:15-16:00LFW E 13 »
14:15-16:00ML F 40 »
A. Cannas da Silva

Catalogue data

AbstractContinuation of the topics of Mathematics I, with main focus on multivariable calculus.
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.

- Introduction to Partial Differential Equations:
separation of variables, heat equation, wave equation, Laplace equation.
Lecture notesSee Moodle webpage and literature
Literature- Thomas, G. B.: Thomas' Calculus, Part 2, Pearson Addison-Wesley.
- Kreyszig, E.: Advanced Engineering Mathematics, John Wiley & Sons.
Prerequisites / NoticeMathe-Lab (assistance hours):
Please consult the Moodle webpage for the schedule and location.
CompetenciesCompetencies
Subject-specific CompetenciesConcepts and Theoriesassessed
Method-specific CompetenciesAnalytical Competenciesassessed

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 Agricultural Sciences 2015; Version 01.03.2019 (Examination Block)
Bachelor's Degree Programme in Earth and Climate Sciences 2016; Version 25.02.2020 (Examination Block)
Bachelor's Degree Programme in Environmental Sciences 2016; Version 29.09.2023 (Examination Block)
Bachelor's Degree Programme in Food Science 2016; Version 25.05.2023 (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 examinationDie folgenden Angaben betreffen den JAHRESKURS Mathematik I und II, wo Lernelemente in Form von wöchentlichen Quizzes angeboten werden: Es werden zwölf Quizzes pro Semester angeboten. Jedes Quiz wird benotet mit 0 oder 1 Punkt. Insgesamt können maximal 12 Punkte pro Semester gesammelt werden. Die erreichte Punktzahl für jedes Semester P ergibt einen Notenzuschlag von Min(0.125, 0.0125 P) zur ungerundeten Endnote in der Basisprüfung. Für die beiden Semester zusammen gibt es also einen maximalen Bonus von 0.25 Notenpunkten, der erreicht wird, wenn mindestens 10 Quizzes pro Semester erfolgreich gelöst werden. Weitere Details werden auf der Vorlesungshomepage gelistet.
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

No public learning materials available.
Only public learning materials are listed.

Groups

401-0252-00 UMathematik II: Analysis II
GroupsG-01A
Tue08:15-10:00ETZ E 7 »
only for  Agricultural Sciences BSc (753000)
Food Science BSc (754000)
G-01B
Thu14:15-16:00LFW E 13 »
only for  Environmental Sciences BSc (727000)
G-02A
Tue08:15-10:00CAB G 52 »
only for  Agricultural Sciences BSc (753000)
Food Science BSc (754000)
G-02B
Thu14:15-16:00LEE C 114 »
only for  Environmental Sciences BSc (727000)
G-03A
Tue08:15-10:00HG E 33.3 »
only for  Agricultural Sciences BSc (753000)
Food Science BSc (754000)
G-03B
Thu14:15-16:00HG G 26.5 »
only for  Environmental Sciences BSc (727000)
G-04A
Tue08:15-10:00LFW C 1 »
only for  Agricultural Sciences BSc (753000)
Food Science BSc (754000)
G-04B
Thu14:15-16:00ML F 40 »
only for  Environmental Sciences BSc (727000)
G-05A
Thu08:15-10:00ETZ F 91 »
G-05B
Thu14:15-16:00LFW B 2 »
only for  Environmental Sciences BSc (727000)
G-06
Thu08:15-10:00ML F 40 »

Restrictions

GroupsRestrictions are listed under Groups

Offered in

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