700.210 (20W) Elements of Networks with Mathematica
Overview
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- Lecturer
- Course title german Elements of Networks with Mathematica
- Type Lecture - Course (continuous assessment course )
- Course model Online course
- Hours per Week 2.0
- ECTS credits 4.0
- Registrations 4 (30 max.)
- Organisational unit
- Language of instruction English
- Course begins on 05.10.2020
- eLearning Go to Moodle course
Time and place
Course Information
Intended learning outcomes
For each topic there will be some input in form of a lecture followed by some examples and calculations. Here, the students have to perform certain calculations, illustrations and plots to visualize and understand the network models, there specifics and limitations and their parameters. The goal is that students understand how to model different aspects of computer networks and are able to work with these models in a scientific manner.
The lecture can serve to deepen the understanding of networks and networking theory and as a preparation for research projects and master theses in this field. Furthermore, students should learn how to utilize Mathematica as a convenient tool for network design and analysis.
Teaching methodology including the use of eLearning tools
The classes will consist of input in form of lectures followed by some tasks to solve for students. The tasks will be mainly solved using Mathematica for symbolic and numerical calculations and for plotting / illustration purposes.
Course content
In this class, we will discuss specific elements of computer networks and how to mathematically model these elements. Exercises will be focusing on using the models for calculating certain properties of the networks using Mathamatica. In particular, we will look into the following topics:
- Introduction to Mathematica
- Markov chains
- Queueing networks
- Decentralized optimization
- Random access networks
- Wireless networks and channel
- Spatial distribution of network users
- Mobile networks
- Network performance metrics
Prior knowledge expected
The participants are expected to have basic knowledge on (wireless) networks and fundamental mathematical knowledge (e.g. about integration).
Literature
F. Kelly, E. Yudovina,
Stochastic Networks
Cambridge University Press, 2014.
http://www.statslab.cam.ac.uk/~frank/STOCHNET/LNSN/book.pdf
M. Haenggi,
Stochastic Geometry for Wireless Networks
Cambridge University Press, 2012.
M. Haenggi,
Interference in Large Wireless Networks
now publishing 2009.
https://www3.nd.edu/~mhaenggi/pubs/now.pdf
Examination information
Examination methodology
The class will be graded based on the interaction and contribution of students during class and the results of the tasks on each topic. All solutions (mainly Mathematica files) will be submitted and evaluated.
Examination topic(s)
All topics covered in class.
Assessment criteria / Standards of assessment for examinations
Correctness and meaningfulness of solutions of tasks.
Effort and amount of work put into the submissions.
Technical understanding and interaction during class.
Grading scheme
Grade / Grade grading schemePosition in the curriculum
- Masterstudium Information and Communications Engineering (ICE)
(SKZ: 488, Version: 15W.1)
-
Subject: Information and Communications Engineering: Supplements (NC, ASR)
(Compulsory elective)
-
Wahl aus dem LV-Katalog (Anhang 4) (
0.0h VK, VO, KU / 14.0 ECTS)
- 700.210 Elements of Networks with Mathematica (2.0h VC / 4.0 ECTS)
-
Wahl aus dem LV-Katalog (Anhang 4) (
0.0h VK, VO, KU / 14.0 ECTS)
-
Subject: Information and Communications Engineering: Supplements (NC, ASR)
(Compulsory elective)
- Masterstudium Information and Communications Engineering (ICE)
(SKZ: 488, Version: 15W.1)
-
Subject: Technical Complements (NC, ASR)
(Compulsory elective)
-
Wahl aus dem LV-Katalog (Anhang 5) (
0.0h VK, VO, KU / 12.0 ECTS)
- 700.210 Elements of Networks with Mathematica (2.0h VC / 4.0 ECTS)
-
Wahl aus dem LV-Katalog (Anhang 5) (
0.0h VK, VO, KU / 12.0 ECTS)
-
Subject: Technical Complements (NC, ASR)
(Compulsory elective)
- Masterstudium Information and Communications Engineering (ICE)
(SKZ: 488, Version: 15W.1)
-
Subject: Information and Communications Engineering: Supplements (NC, ASR)
(Compulsory elective)
-
Wahl aus dem LV-Katalog (Anhang 4) (
0.0h VK, VO, KU / 14.0 ECTS)
- 700.210 Elements of Networks with Mathematica (2.0h VC / 4.0 ECTS)
-
Wahl aus dem LV-Katalog (Anhang 4) (
0.0h VK, VO, KU / 14.0 ECTS)
-
Subject: Information and Communications Engineering: Supplements (NC, ASR)
(Compulsory elective)
- Masterstudium Information and Communications Engineering (ICE)
(SKZ: 488, Version: 15W.1)
-
Subject: Technical Complements (NC, ASR)
(Compulsory elective)
-
Wahl aus dem LV-Katalog (Anhang 5) (
0.0h VK, VO, KU / 12.0 ECTS)
- 700.210 Elements of Networks with Mathematica (2.0h VC / 4.0 ECTS)
-
Wahl aus dem LV-Katalog (Anhang 5) (
0.0h VK, VO, KU / 12.0 ECTS)
-
Subject: Technical Complements (NC, ASR)
(Compulsory elective)