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MA34E-Linear Algebra and Coding Theory

Module Provider: Mathematics
Number of credits: 20 [10ECTS credits]
Level: H (Honours)
Terms in which taught: Autumn, Spring and Summer
Module Convenor: Dr T Kuna
Pre-requisites: MA11C MA11D or MA24G
Co-requisites:
Modules excluded: MA24EMA115
Module version for: 2008/9

Email: t.kuna@reading.ac.uk

Aims:
To introduce the mathematics of linearity needed for other modules;
to develop the algebra of vector spaces and linear mappings;
to add to students' sense of the enjoyability and relevance of mathematics;

Assessable learning outcomes:
By the end of the module students are expected to be able to:

  • carry out appropriate calculations involving the concepts of vector space, linear independence, dimension and linear mapping ;
  • solve simple problems in cryptography, especially in public-key cryptosystems.

    Additional outcomes:
    At the end of the module students will have a greater appreciation of how mathematics can be used in real-life situations.

    Outline content:
    Linear algebra is the study of vector spaces and linear mappings. These arise from matrix theory as well as less obvious sources such as differential equations. Some aspects of the subject are best considered by matrix methods, but others are more illuminating when treated from the point of view of vector spaces, where general structure is more easily seen. This is an elegant approach which affects many branches of mathematics. The second part consists of an introduction to the RSA public-key cryptosystem as currently used by most agencies and banks in the transmission of confidential information.

    Brief description of teaching and learning methods:
    Lectures supported by problem sheets

    Contact hours:

      Autumn Spring Summer
    Lectures 20 20 4
    Tutorials/seminars      
    Practicals      
    Other contact (eg study visits)    
    Total hours 20  20 
    Number of essays or assignments
    Other (eg major seminar paper)      

    Assessment:
    Coursework N/A
    Relative percentage of coursework : 0
    Examinations
    A three hour exam. This contributes 100% of the overall assessment.
    Requirements for a pass
    A mark of 40% overall.
    Reassessment arrangements
    Re-examination in August/September only.

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