Module MAT1400M3
Mathematical Modelling (M, 16.0 LP)
Module Identification
Module Number  Module Name  CP (Effort) 

MAT1400M3  Mathematical Modelling  16.0 CP (480 h) 
Basedata
CP, Effort  16.0 CP = 480 h 

Position of the semester  3 Sem. from WiSe/SuSe 
Level  [3] Bachelor (Core) 
Language  [DE] German 
Module Manager  
Lecturers 
Lecturers of the department Mathematics

Area of study  [MATGRU] Mathematics (B.Sc. year 1 and 2) 
Reference course of study  [MAT82.105SG] B.Sc. Mathematics 
LivecycleState  [NORM] Active 
Module Part #A "Introduction to Scientific Programming" (Obligatory, 5.0 LP)
Type/SWS  Course Number  Title  Choice in ModulePart  PresenceTime / SelfStudy  SL  SL is required for exa.  PL  CP  Sem.  

2V+2U  MAT1400K2  Introduction to Scientific Programming
 P  56 h  94 h 
USchein
   no  5.0  WiSe/SuSe 
 About [MAT1400K2]: Title: "Introduction to Scientific Programming"; PresenceTime: 56 h; SelfStudy: 94 h
 About [MAT1400K2]: The study achievement [USchein] proof of successful participation in the exercise classes (ungraded) must be obtained.
Module Part #B "Mathematical Modelling" (Obligatory, 3.0 LP)
Type/SWS  Course Number  Title  Choice in ModulePart  PresenceTime / SelfStudy  SL  SL is required for exa.  PL  CP  Sem.  

2V  MAT1401K3  Mathematical Modelling
 WP  28 h  62 h 
USchein
   no  3.0  SuSe 
2S  MAT1614K3  Proseminar Mathematical Modelling
 WP  28 h  62 h 
PSSchein
   no  3.0  WiSe 
 About [MAT1401K3]: Title: "Mathematical Modelling"; PresenceTime: 28 h; SelfStudy: 62 h
 About [MAT1401K3]: The study achievement [USchein] proof of successful participation in the exercise classes (ungraded) must be obtained.
 About [MAT1614K3]: Title: "Proseminar Mathematical Modelling"; PresenceTime: 28 h; SelfStudy: 62 h
 About [MAT1614K3]: The study achievement [PSSchein] proof of successful participation in the proseminar must be obtained.
Module Part #C "Programming Labs (Applied Mathematics)" (Obligatory, 8.0 LP)
Type/SWS  Course Number  Title  Choice in ModulePart  Choice in CoursePool  PresenceTime / SelfStudy  SL  SL is required for exa.  PL  CP  Sem.  

KPOOL  MAT14PKPOOL3  Practical Courses on Practical Mathematics (B.Sc. Mathematics)
 P  WP1 
LSchein
   no  [4.0]  *  
KPOOL  MAT14PKPOOL3  Practical Courses on Practical Mathematics (B.Sc. Mathematics)
 P  WP1 
LSchein
   no  [4.0]  * 
 About [MAT14PKPOOL3]: Title: "Practical Courses on Practical Mathematics (B.Sc. Mathematics)";
 About [MAT14PKPOOL3]: A course from the course pool must be selected.
 About [MAT14PKPOOL3]: The study achievement [LSchein] proof of successful participation in the practical course / lab must be obtained.
 About [MAT14PKPOOL3]: Title: "Practical Courses on Practical Mathematics (B.Sc. Mathematics)";
 About [MAT14PKPOOL3]: A course from the course pool must be selected.
 About [MAT14PKPOOL3]: The study achievement [LSchein] proof of successful participation in the practical course / lab must be obtained.
Evaluation of grades
The module is not graded (only study achievements)..
Contents
Thereof the following is included in the courses
 Introduction to scientific programming: Learning a modern programming language by means of mathematical questions
 Mathematical modelling: Exemplary representation of the modelling cycle on the basis of specific problems from industry and technology
 Practical Courses Practical Mathematics 1&2: Solving mathematical problems by implementing algorithms on the computer. One of the programming projects should start from a modelling question. Implementation of algorithms from two different areas of practical mathematics using higher programming languages and special mathematical software packages.
Competencies / intended learning achievements
By participating in the introductory course on scientific programming, the students were familiarised with a programming language, basic programming techniques and data structures.
By participating in the lecture or the proseminar "Mathematical Modelling", the students have become familiar with the basic principles of mathematical modelling. In doing so, they have recognised how the concepts learned in the module [MAT101M2] Fundamentals of Mathematics such as norm, vector space, sequences and series, continuity, differentiability and extreme values can be used in an applicationoriented context.
In the two practical courses, the students have learned how mathematical problems can be solved by implementing algorithms on the computer. In addition, the fundamental theoretical and practical knowledge in mathematical modelling was deepened by means of a programming project based on a modelling question.
Literature
Materials
Registration
Requirements for attendance (informal)
Requirements for attendance (formal)
References to Module / Module Number [MAT1400M3]
Course of Study  Section  Choice/Obligation 

[MAT82.105SG] B.Sc. Mathematics  Mathematical Modelling  [P] Compulsory 