401-0252-00L Mathematics II
Semester | Spring Semester 2016 |
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 Am 24.02.2016 findet anstelle der Vorlesung die Zwischenprüfung zur Leistungskontrolle als Jahreskurs statt. | 5 hrs |
| A. Cannas da Silva | |||||||||
401-0252-00 U | Mathematik 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 | 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. |
Prerequisites / Notice | Assistance: 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 credits | 13 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 180 minutes |
Additional information on mode of examination | Im 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 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
Main link | Vorlesungsinhalt |
Additional links | Übungen |
Only public learning materials are listed. |
Groups
No information on groups available. |
Restrictions
There are no additional restrictions for the registration. |