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Unit information: Discrete Mathematics in 2018/19

Please note: It is possible that the information shown for future academic years may change due to developments in the relevant academic field. Optional unit availability varies depending on both staffing and student choice.

Unit name Discrete Mathematics
Unit code EMAT10704
Credit points 20
Level of study C/4
Teaching block(s) Teaching Block 4 (weeks 1-24)
Unit director Professor. Lawry
Open unit status Not open
Pre-requisites

A-level mathematics or equivalent.

Co-requisites

None

School/department Department of Engineering Mathematics
Faculty Faculty of Engineering

Description

Description Discrete mathematics is the mathematical study of discrete objects, that is, sets of distinct elements. It is used whenever objects are counted, or relationships between finite sets of objects are studied, or when processes involving a finite number of steps are analysed. Discrete mathematics underlies almost all present day information processing systems, and a thorough knowledge of the subject is necessary to appreciate the capabilities and limitations of computers.

EMAT10704 will cover foundation level material in discrete mathematics including: number systems and arithmetic, logic and proof, sets, relations and functions. It will then move on to provide a background into more advanced topics in discrete mathematics, including graph theory, and the link between continuous and discrete mathematics.

Aims The unit aims to provide a foundational level background in discrete mathematics.

Intended learning outcomes

The unit will provide students with:

  1. a basic understanding of topics in discrete mathematics, and
  2. their application to real-world problems

Teaching details

Lectures & examples classes

Assessment Details

80% summer 3 hour written exam (all learning outcomes)

10% each on two 30 minute class tests (all learning outcomes).

Reading and References

  • Introductory Logic and Sets for Computer Science

Nimal Nissanke (ISBN:0-201-17957-1)

Main recommendation:

  • Graphs and Applications: An Introductory Approach

J M Aldous and R J Wilson Springer, 2000, ISBN:185233259X

Supplementary recommendation:

  • Introduction to Graph Theory (4th Edition)

R J Wilson Prentice Hall, 1996, ISBN:0582249937

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