401-0252-00L Mathematics II

Semester	Spring Semester 2022
Lecturers	A. Cannas da Silva
Periodicity	yearly recurring course
Language of instruction	German

Courses

Number

Title

Hours

Lecturers

401-0252-00 V

Mathematik II: Analysis II

5 hrs

Tue	10:15-12:00	ML D 28 »
Wed/2w	08:15-10:00	HG E 7 »
Thu	10:15-12:00	ML D 28 »
18.05.	08:15-10:00	HG E 7 »
24.05.	12:15-14:00	ML D 28 »

A. Cannas da Silva

401-0252-00 U

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.

Zusätzlich wird das Mathe-Lab (Präsenzstunden) angeboten: Mo 12-14 im HCP E 47.1 sowie Di 18-20 im HG E 41 und Mi 18-20 im HG E 41

2 hrs

A. Cannas da Silva

Catalogue data

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

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 2011; Version 12.01.2016 (Examination Block) Bachelor's Degree Programme in Environmental Sciences 2016; Version 27.09.2019 (Examination Block) Bachelor's Degree Programme in Food Science 2016; Version 06.03.2019 (Examination Block)
ECTS credits	13 credits
Examiners	A. Cannas da Silva, F. Da Lio
Type	session examination
Language of examination	German
Repetition	The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination	written 180 minutes
Additional information on mode of examination	Die 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 aids	40 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 credits	7 credits
Examiners	A. Cannas da Silva
Type	session examination
Language of examination	German
Repetition	The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination	written 90 minutes
Written aids	20 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


Moodle course	Moodle Webpage
Only public learning materials are listed.

Groups

401-0252-00 U

Mathematik II: Analysis II

Groups

G-01A

only for

Agricultural Sciences BSc (753000)
Food Science BSc (754000)

G-01B

only for

Environmental Sciences BSc (727000)

G-02A

only for

Agricultural Sciences BSc (753000)
Food Science BSc (754000)

G-02B

only for

Environmental Sciences BSc (727000)

G-03A

only for

Agricultural Sciences BSc (753000)
Food Science BSc (754000)

G-03B

G-04A

only for

Agricultural Sciences BSc (753000)
Food Science BSc (754000)

G-04B

only for

Environmental Sciences BSc (727000)

G-05A

only for

Agricultural Sciences BSc (753000)
Food Science BSc (754000)

G-05B

only for

Environmental Sciences BSc (727000)

G-06A

G-06B

only for

Environmental Sciences BSc (727000)

Restrictions

Groups

Restrictions are listed under Groups

Offered in

Programme	Section	Type
Agricultural Sciences Bachelor	First Year Examinations	O
Earth and Climate Sciences Bachelor	First Year Examinations	O
Food Science Bachelor	First Year Examinations	O
Environmental Sciences Bachelor	First Year Examinations	O