Course Advanced Mathematics
Responsible: Prof.Dr. Schellong
Course
Meets requirements of following modules(MID)
Course Organization
| Version |
| created |
2013-04-29 |
| VID |
2 |
| valid from |
WS 2012/13 |
| valid to |
|
|
|
| Course identifiers |
| Long name |
Advanced Mathematics |
| CID |
F07_HIM |
| CEID (exam identifier) |
|
|
| Contact hours per week (SWS) |
| Lecture |
2 |
| Exercise (unsplit) |
2 |
| Exercise (split) |
|
| Lab |
|
| Project |
|
| Seminar |
|
| Tutorial(voluntary) |
2 |
|
|
| Total contact hours |
| Lecture |
30 |
| Exercise (unsplit) |
30 |
| Exercise (split) |
|
| Lab |
|
| Project |
|
| Seminar |
|
| Tutorial (voluntary) |
30 |
|
|
| Max. capacity |
| Exercise (unsplit) |
|
| Exercise (split) |
40 |
| Lab |
18 |
| Project |
18 |
| Seminar |
40 |
|
Total effort (hours): 150
Instruction language
Study Level
Prerequisites
- Real functions of one or more variables
- Differential and integral calculus
- Linear algebra (linear equation systems, matrix calculus)
- Basic skills in procedural programming
Textbooks, Recommended Reading
- Papula: Mathematik für Ingenieure und Naturwissenschaftler, Band 3 (Vieweg)
- Koop, Moock: Lineare Optimierung (Spektrumverlag)
- Zimmermann: Operations Research (Vieweg)
Instructors
Supporting Scientific Staff
Transcipt Entry
Advanced Mathematics
Assessment
| Total effort [hours] |
| we |
written exam |
Frequency: 3/year
Course components
Lecture/Exercise
Objectives
Contents
- mathematical models of theoretical electrical engineering
- scalar and vector fields
- differential operators
- line integral
- surface integral
- integral theorems
- mathematical models for electrical dynamics
- Technische Systeme optimieren
- mathematical optimization models
- general optimization model
- classification
- optimization procedures
- linear optimization model
- description
- graphical solution
- normal form
- basis solution
- simplex procedure
- simplex tableau
- basis change
- primal simplex procedure
- theory of duality
- dual simplex tableau
- dual simplex procedure
- transport problems
- description
- optimal solution
- simulation tools
Acquired Skills
- mathematical models
- mathematical description of applied problems
- application of mathematical models
- electrical dynamics
- optimal scheduling of power plants
- optimization procedures
- selection of appropriate algoritms
- construction of algorithms
- implementation of algorithms
- numerical simulation
- evaluation of the results
Additional Component Assessment
| Type |
| fPS |
exercise (on course and self study) |
| Contribution to course grade |
| fPS |
unrated |
Frequency:
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