Course Manual 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 |
| Valid from | summer semester 2021 |
| 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 |
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 | EN schriftlicher Ergebnisbericht |
Learning goals
| Goal type | Description |
|---|---|
| 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 |
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Seminar | 3 |
| Tutorial (voluntary) | 0 |
Special requirements
| none |
| Accompanying material | Literature online and in book form |
|---|---|
| Separate exam | Yes |
Separate exam
| Exam Type | EN Fachgespräch (Interview) zu besonderen Fragestellungen (Szenario, Projektaufgabe, Lieraturrecherche) |
|---|---|
| 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
| Goal type | Description |
|---|---|
| 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 |
Expenditure classroom teaching
| Type | Attendance (h/Wk.) |
|---|---|
| Project | 1 |
| Tutorial (voluntary) | 0 |
Special requirements
| Seminar successfully completed |
| Accompanying material |
Literature for the Lehveranstaltung (online, book form) online curses |
|---|---|
| Separate exam | No |
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