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Mathematics II

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics II
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Environmental Technologies, Bachelor, ASPO 01.10.2025
Module code: UI-MAT2
SAP-Submodule-No.:
The exam administration creates a SAP-Submodule-No for every exam type in every module. The SAP-Submodule-No is equal for the same module in different study programs.
P110-0187, P251-0026
Hours per semester week / Teaching method:
The count of hours per week is a combination of lecture (V for German Vorlesung), exercise (U for Übung), practice (P) oder project (PA). For example a course of the form 2V+2U has 2 hours of lecture and 2 hours of exercise per week.
4VU (4 hours per week)
ECTS credits:
European Credit Transfer System. Points for successful completion of a course. Each ECTS point represents a workload of 30 hours.
5
Semester: 2
Mandatory course: yes
Language of instruction:
German
Assessment:
Written exam

[updated 05.02.2020]
Applicability / Curricular relevance:
All study programs (with year of the version of study regulations) containing the course.

BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.04.2009 , semester 2, mandatory course
BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.10.2011 , semester 2, mandatory course
BIBA270 (P110-0051) Civil and structural engineering, Bachelor, ASPO 01.10.2017 , semester 2, mandatory course
UI-MAT2 (P110-0187, P251-0026) Environmental Technologies, Bachelor, ASPO 01.10.2023 , semester 2, mandatory course
UI-MAT2 (P110-0187, P251-0026) Environmental Technologies, Bachelor, ASPO 01.10.2025 , semester 2, mandatory course
Workload:
Workload of student for successfully completing the course. Each ECTS credit represents 30 working hours. These are the combined effort of face-to-face time, post-processing the subject of the lecture, exercises and preparation for the exam.

The total workload is distributed on the semester (01.04.-30.09. during the summer term, 01.10.-31.03. during the winter term).
60 class hours (= 45 clock hours) over a 15-week period.
The total student study time is 150 hours (equivalent to 5 ECTS credits).
There are therefore 105 hours available for class preparation and follow-up work and exam preparation.
Recommended prerequisites (modules):
UI-MAT1 Mathematics I


[updated 28.10.2024]
Recommended as prerequisite for:
Module coordinator:
Prof. Dr.-Ing. Christian Lang
Lecturer: Prof. Dr.-Ing. Christian Lang

[updated 28.10.2024]
Learning outcomes:
_ After successfully completing this module, students will be able to apply integration rules and use integral calculus to solve specific problems such as areas, centres of gravity, moments of inertia.
_ They will be able to check linear systems of equations for their solvability and determine solutions those systems. They will be able to solve eigenvalue problems and simple differential equations. They will be able to determine the probability distributions of random variables, as well as calculate expected values and standard deviations.

[updated 28.09.2020]
Module content:
_ Integration (integration rules and methods)  
_ Applying integration methods,  
_ Matrices, linear dependence, matrix rank, solving systems of equations, eigenvalue problems,  
_ Homogeneous and inhomogeneous ordinary differential equations and linear 1st order differential equations, differential equations of higher order
_ Calculating probability (discrete stochastic processes, probability measure, random variables, expected value, variance and standard deviation)

[updated 05.02.2020]
Recommended or required reading:
_ Papula: Mathematik für Ingenieure und Naturwissenschaftler, Bd. 1,2,3, Vieweg Haake/Hirle/Maas: Mathematik für Bauingenieure, Bd. 1+2, Teubner-Verlag, Stuttgart
_ Rjasanowa: Mathematik für Bauingenieure, Carl Hanser Verlag
_ Meyberg, Vachenauer: Höhere Mathematik, Bd. 1, 2, Springer
_ Papula: Mathematische Formelsammlung für Ingenieure und Naturwissenschaftler, Vieweg

[updated 05.02.2020]
 
[Thu Oct 31 15:21:13 CET 2024, CKEY=bmia, BKEY=ut3, CID=UI-MAT2, LANGUAGE=en, DATE=31.10.2024]