## Module Handbook

• Dynamischer Default-Fachbereich geändert auf MAT

# Module MAT-00-61-M-1

## Module Identification

Module Number Module Name CP (Effort)
MAT-00-61-M-1 Higher Mathematics for Civil Engineers I 8.0 CP (240 h)
BI-BSCBI-001-M-2 Higher Mathematics for Civil Engineers I 8.0 CP (240 h)

## Basedata

CP, Effort 8.0 CP = 240 h 1 Sem. in WiSe [1] Bachelor (General) [DE] German Pinnau, René, Prof. Dr. (PROF | DEPT: MAT) Kämmerer, Florentine, Dr. (WMA | DEPT: MAT) [MAT-Service] Mathematics for other Departments [BI-82.17-SG] B.Sc. Civil Engineering [NORM] Active

## Notice

To prepare for this course, it is recommended to participate in the Online Mathematics Bridge Course (OMB+), see https://www.mathematik.uni-kl.de/omb/ before starting with the studies.

## Courses

Type/SWS Course Number Title Choice in
Module-Part
Presence-Time /
Self-Study
SL SL is
required for exa.
PL CP Sem.
4V+2U MAT-00-61-K-1
Higher Mathematics for Civil Engineers I
P 84 h 156 h
U-Schein
ja PL1 8.0 WiSe
• About [MAT-00-61-K-1]: Title: "Higher Mathematics for Civil Engineers I"; Presence-Time: 84 h; Self-Study: 156 h
• About [MAT-00-61-K-1]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
• It is a prerequisite for the examination for PL1.

## Examination achievement PL1

• Form of examination: written exam (Klausur) (120 Min.)
• Examination Frequency: each semester
• Examination number: 81064 ("Higher Mathematics for Civil Engineers I")

## Contents

• vector spaces,
• matrices, linear mappings, determinants,
• systems of linear equations,
• eigenvalue problems,
• vector calculus and analytical geometry,
• linear optimisation,
• probability theory and statistics.

## Competencies / intended learning achievements

The following competencies are to be promoted:

Professional competence, methodological competence; social competence

Learning outcomes: Upon successful completion of the module, the students will be able

• to deepen, if necessary, the specific mathematical concepts and methods of linear algebra, analytical geometry, linear programming and probability theory used in the context of civil engineering, as required in the further course of the study programme (since they know and understand them);
• to work on and solve problems in civil engineering by means of mathematical methods and models, as they have learnt this via simple examples;
• to deal confidently and independently with the terms, statements and methods from the lecture and to apply the presented methods and concepts in examples;
• to work on tasks in written form and present them (thereby training their presentation and communication skills);
• to acquire knowledge through self-study and to develop their ability to work in a team by working in smaller groups.

## Literature

• K. Rjasanova: Mathematik für Bauingenieure,
• A. Beutelspacher: Lineare Algebra,
• J. Biehounek, D. Schmidt: Mathematik für Bauingenieure,
• L. Papula: Mathematik für Ingenieure und Naturwissenschaftler.

## Registration

Registration for the exercise classes is required (details will be announced at the beginning of the course).

none

None

## References to Module / Module Number [BI-BSCBI-001-M-2]

Course of Study Section Choice/Obligation
[BI-82.17-SG] B.Sc. Civil Engineering [Fundamentals] Mathematical and scientific fundamentals [P] Compulsory