Module MAT-14-00-M-3
Mathematical Modelling (M, 16.0 LP)
Module Identification
| Module Number | Module Name | CP (Effort) |
|---|---|---|
| MAT-14-00-M-3 | 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 | |
| Area of study | [MAT-GRU] Mathematics (B.Sc. year 1 and 2) |
| Reference course of study | [MAT-82.105-SG] B.Sc. Mathematics |
| Livecycle-State | [NORM] Active |
Module Part #A "Introduction to Scientific Programming" (Obligatory, 5.0 LP)
| Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
|---|---|---|---|---|---|---|---|---|---|---|
| 2V+2U | MAT-14-00-K-2 | Introduction to Scientific Programming
| P | 56 h | 94 h |
U-Schein
| - | no | 5.0 | WiSe/SuSe |
- About [MAT-14-00-K-2]: Title: "Introduction to Scientific Programming"; Presence-Time: 56 h; Self-Study: 94 h
- About [MAT-14-00-K-2]: The study achievement "[U-Schein] 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 Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
|---|---|---|---|---|---|---|---|---|---|---|
| 2V | MAT-14-01-K-3 | Mathematical Modelling
| WP | 28 h | 62 h |
U-Schein
| - | no | 3.0 | SuSe |
| 2S | MAT-16-14-K-3 | Proseminar Mathematical Modelling
| WP | 28 h | 62 h |
PS-Schein
| - | no | 3.0 | WiSe |
- About [MAT-14-01-K-3]: Title: "Mathematical Modelling"; Presence-Time: 28 h; Self-Study: 62 h
- About [MAT-14-01-K-3]: The study achievement "[U-Schein] proof of successful participation in the exercise classes (ungraded)" must be obtained.
- About [MAT-16-14-K-3]: Title: "Proseminar Mathematical Modelling"; Presence-Time: 28 h; Self-Study: 62 h
- About [MAT-16-14-K-3]: The study achievement "[PS-Schein] 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 Module-Part | Choice in Course-Pool | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| KPOOL | MAT-14P-KPOOL-3 | Practical Courses on Practical Mathematics (B.Sc. Mathematics)
| P | WP-1 |
L-Schein
| - | no | [4.0] | * | ||
| KPOOL | MAT-14P-KPOOL-3 | Practical Courses on Practical Mathematics (B.Sc. Mathematics)
| P | WP-1 |
L-Schein
| - | no | [4.0] | * | ||
- About [MAT-14P-KPOOL-3]: Title: "Practical Courses on Practical Mathematics (B.Sc. Mathematics)";
- About [MAT-14P-KPOOL-3]: A course from the course pool must be selected.
- About [MAT-14P-KPOOL-3]: The study achievement "[L-Schein] proof of successful participation in the practical course / lab" must be obtained.
- About [MAT-14P-KPOOL-3]: Title: "Practical Courses on Practical Mathematics (B.Sc. Mathematics)";
- About [MAT-14P-KPOOL-3]: A course from the course pool must be selected.
- About [MAT-14P-KPOOL-3]: The study achievement "[L-Schein] proof of successful participation in the practical course / lab" must be obtained.
Evaluation of grades
The module is not graded (only study achievements)..
Contents
Theoretical and practical principles of mathematical modelling.
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
Upon succcessful completion of this module, the students are able to independently deal with partial aspects of exemplary application problems from industry and business. This concerns in particular the choice of the mathematical model, the selection of suitable solution methods and the interpretation of the results.
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 [MAT-10-1-M-2] "Fundamentals of Mathematics" such as norm, vector space, sequences and series, continuity, differentiability and extreme values can be used in an application-oriented 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
The literature will be announced in the courses or made available for download.
Materials
Exercise material will be provided.
Registration
Registration for the exercise and lab classes via the online administration system URM (https://urm.mathematik.uni-kl.de)
Requirements for attendance of the module (informal)
Courses [MAT-10-11A-K-2] and [MAT-10-11B-K-2] (for participation in the course [MAT-14-00-K-2]), resp. module [MAT-10-1-M-2] for the other courses.
Requirements for attendance of the module (formal)
Prerequisite for the participation in the practical training courses is the participation in the corresponding lecture on practical mathematics; participation in the course "Mathematical Modelling" may require a successfully completed examination of the module [MAT-10-1-M-2].
References to Module / Module Number [MAT-14-00-M-3]
| Course of Study | Section | Choice/Obligation |
|---|---|---|
| [MAT-82.105-SG] B.Sc. Mathematics | [Core Modules (non specialised)] Mathematical Modelling | [P] Compulsory |