Course
AMA - Applied Matheamtics
PDF Course Catalog Deutsche Version: AMA
Version: 1 | Last Change: 05.09.2019 09:37 | Draft: 0 | Status: vom verantwortlichen Dozent freigegeben
| Long name | Applied Matheamtics |
|---|---|
| Approving CModule | AMA_MaMT |
| Responsible |
Prof. Dr. Stefan Grünvogel
Professor Fakultät IME |
| Level | Master |
| Semester in the year | summer semester |
| Duration | Semester |
| Hours in self-study | 78 |
| ECTS | 5 |
| Professors |
Prof. Dr. Stefan Grünvogel
Professor Fakultät IME |
| Requirements | The classical topics in engineering mathematics: - analysis of one and several variables (differentiation, intergration, Taylor) - linear algebra (general vector spaces, linear mappings, matrices, vectors, norm, scalar product) |
| Language | German, English if necessary |
| Separate final exam | Yes |
Literature
Solomin: Numerical Algorithms, CRC Press
Chapra,Canale: Numerical Methods for Engineers, McGraw-Hill
Quarteroni, Saleri, Gervasio: Scientific Computing with MATHLAB and Octave, Springer
Dahmen, Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer
Deuflhard, Hohmann: Numerische Mathematik 1, de Gruyter
Chapra,Canale: Numerical Methods for Engineers, McGraw-Hill
Quarteroni, Saleri, Gervasio: Scientific Computing with MATHLAB and Octave, Springer
Dahmen, Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer
Deuflhard, Hohmann: Numerische Mathematik 1, de Gruyter
Final exam
Details
In a team of a maximum of two students, a complex media technology problem is to be dealt with in the form of a project that requires at least the knowledge conveyed in the seminar part of the course in order to be solved.The project result is to be provided in the form of a written report in the form of a scientific elaboration.
Mathematical description of a complex media technology problem which requires at least the knowledge conveyed in the seminar part of the course in order to be solved.
Analysis of the problem and selection of a solution methode based on this.
Selection of a software system or implementation of a corresponding algorithmic solution method.
Written documentation and critical evaluation of the results.
Explanation of the individual work steps
Minimum standard
The elaboration meets minimum scientific standards.A sufficient literature search is proven.
There are only a few errors in the use of the correct mathematical notation in the elaboration.
The selection of the numerical solution method for the task is justified and adequate.
Results for the task are generated.
A critical analysis of the achieved results is presented.
Exam Type
In a team of a maximum of two students, a complex media technology problem is to be dealt with in the form of a project that requires at least the knowledge conveyed in the seminar part of the course in order to be solved.The project result is to be provided in the form of a written report in the form of a scientific elaboration.
Mathematical description of a complex media technology problem which requires at least the knowledge conveyed in the seminar part of the course in order to be solved.
Analysis of the problem and selection of a solution methode based on this.
Selection of a software system or implementation of a corresponding algorithmic solution method.
Written documentation and critical evaluation of the results.
Explanation of the individual work steps
Learning goals
Knowledge
Knowledge of numerical mathematics is taught according to the Flipped Classroom concept.
Topcis:
Numerics and error analysis
Solving linear equations (direct, iterative)
eigen vectors
singular value decomposition
solving nonlinear equations
nonlinear least-squares
optimization methods
interpolation
intergration and differentiation
numerical software
Topcis:
Numerics and error analysis
Solving linear equations (direct, iterative)
eigen vectors
singular value decomposition
solving nonlinear equations
nonlinear least-squares
optimization methods
interpolation
intergration and differentiation
numerical software
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Seminar | 3 |
| Tutorial (voluntary) | 0 |
Special literature
keine/none
Special requirements
none
Accompanying material
Literature online and in book form
Separate exam
Exam Type
discussion (interview) about special issues (szenario, project assignment, literature research)Details
Conceptual questions on the respective topics must be answered independently and justified before the course (Flipped Classroom).Alternative or complementary: Creating a learning portfolio
Minimum standard
A sufficient occupation with the contents of the respective course must be proven which leads to the knowledge and a rough understanding of the basic concepts and methods.Learning goals
Skills
Mathematical description of a complex media technology problem which requires at least the knowledge conveyed in the seminar part of the course in order to be solved.
Analysis of the problem and selection of a solution methode based on this.
Selection of a software system or implementation of a corresponding algorithmic solution method.
Written documentation and critical evaluation of the results.
Explanation of the individual work steps
Analysis of the problem and selection of a solution methode based on this.
Selection of a software system or implementation of a corresponding algorithmic solution method.
Written documentation and critical evaluation of the results.
Explanation of the individual work steps
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Project | 1 |
| Tutorial (voluntary) | 0 |
Special literature
keine/none
Special requirements
Seminar successfully completed
Accompanying material
Literature for the Lehveranstaltung (online, book form)
online curses
online curses
Separate exam
none
Bei Fehlern, bitte Mitteilung an die
Webredaktion der Fakultät IME
Webredaktion der Fakultät IME
© 2022 Technische Hochschule Köln