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Mathematics I

Module name (EN):
Name of module in study programme. It should be precise and clear.
Mathematics I
Degree programme:
Study Programme with validity of corresponding study regulations containing this module.
Environmental Technologies, Bachelor, ASPO 01.10.2023
Module code: UI-MAT1
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.
P110-0179, P251-0025
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.
Semester: 1
Mandatory course: yes
Language of instruction:
Written exam

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

BIBA151 (P110-0050) Civil and structural engineering, Bachelor, ASPO 01.04.2009 , semester 1, mandatory course
BIBA151 (P110-0050) Civil and structural engineering, Bachelor, ASPO 01.10.2011 , semester 1, mandatory course
BIBA151 (P110-0050) Civil and structural engineering, Bachelor, ASPO 01.10.2017 , semester 1, mandatory course
BBA100 Civil and structural engineering, Bachelor, ASPO 01.10.2024 , semester 1, mandatory course
UI-MAT1 (P110-0179, P251-0025) Environmental Technologies, Bachelor, ASPO 01.10.2023 , semester 1, mandatory course
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):
Recommended as prerequisite for:
UI-MAT2 Mathematics II
UI-T-TWF Introduction to Thermodynamics, Heat Transfer and Fluid Technology
UI-TM2 Engineering Mechanics II

[updated 15.03.2024]
Module coordinator:
Prof. Dr.-Ing. Christian Lang
Dr. Anna-Katharina Mahro

[updated 15.03.2024]
Learning outcomes:
_ After successfully completing this moduel, students will have basic mathematical knowledge (arithmetic and algebra of real numbers) and be able to apply mathematical basics in the field of civil engineering.
_ Professional and methodological competence: Students will be able to solve job-typical tasks and civil engineering problems using higher mathematics (in particular, vector calculus and differential calculus)
_ Exercises and examples from the professional world of civil engineering.

[updated 28.09.2020]
Module content:
- Functions
_ Elementary functions,  
_ Differential calculus (properties of differentiable functions),  
_ Applying differential calculus,
_ Linear algebra (vector calculus).

[updated 05.02.2020]
Recommended or required reading:
_ Papula: Mathematik für Ingenieure und Naturwissenschaftler, Bd 1+2, 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]
[Tue Apr 16 00:21:34 CEST 2024, CKEY=bmi, BKEY=ut2, CID=UI-MAT1, LANGUAGE=en, DATE=16.04.2024]