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Unit information: Dynamics of Networks in 2014/15

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Unit name Dynamics of Networks
Unit code EMATM0008
Credit points 10
Level of study M/7
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. Gross
Open unit status Open
Pre-requisites

EMAT10100 Engineering Mathematics 1 or equivalent

Co-requisites

None

School/department Department of Engineering Mathematics
Faculty Faculty of Engineering

Description

This unit will provide students with a basic working knowledge of network theory and introduces them to state-of-the-art techniques for applying the tools of nonlinear dynamics to high-dimensional "networked" systems. The importance and usefulness of the techniques will be illustrated on a wide range of application areas: swarming robots, disease propagation, ecological food webs, web search, peer to peer networks, social networks (e.g. Facebook), multi-hop wireless communication, and attack resilience of infrastructure networks, for example.

Aims: Enabling students to use a range of mathematical tools for the formulation and analysis of network dynamics models.

Intended learning outcomes

On successful completion of the unit the student will have

  1. learned to formulate of network models for complex systems
  2. become acquainted with fundamental results and methods from network theory
  3. learned to apply approaches from nonlinear dynamics to analyze the dynamics of complex networks
  4. developed skills in simplifying complex problems with the tools of network science

Teaching details

Lectures

Assessment Details

100% coursework. Two written assignments, each worth 50%.

Each coursework assignment will consist of several compulsory questions, on guided formulation and analysis of network dynamics models and applications. The first piece of coursework will focus on and assess learning outcomes 1 & 2, and the second will focus on and assess learning outcomes 3 & 4.

Reading and References

Sergey Dorogovtsev, Lectures on complex networks, Oxford University Press. ISBN: 978-0199548934

Mark Newman, Networks: An Introduction, Oxford University Press. ISBN: 978-0199206650

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