MA3NA2-Numerical Analysis II

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:6
Terms in which taught: Autumn term module
Pre-requisites: MA1LA Linear Algebra and MA2NA1 Numerical Analysis I or MT24C Numerical Methods for Environmental Science
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Module version for: 2017/8

Module Convenor: Dr Amos Lawless

Email: a.s.lawless@reading.ac.uk

Summary module description:

This module introduces and analyses a range of techniques in numerical linear algebra for solving large systems of linear equations.


Aims:

To motivate, develop and analyse a range of numerical linear algebra techniques.


Assessable learning outcomes:

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



• Understand how to measure the sensitivity of a linear system;

• Apply and analyse a range of techniques in numerical linear algebra, including direct and iterative methods;

• Implement a range of numerical linear algebra techniques on a computer.


Additional outcomes:

Outline content:

The course will cover the following topics:



• Methods for analysing the stability of linear systems;

• Direct methods for solving linear systems (including Gaussian elimination, LU decomposition, Cholesky decomposition);

• Stationary iterative methods (including Jacobi, Gauss-Seidel, SOR);

• The QR method for solving linear least squares problems.


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

Contact hours:
  Autumn Spring Summer
Lectures 20
Tutorials 5
Guided independent study 75
       
Total hours by term 100.00
       
Total hours for module 100.00

Summative Assessment Methods:
Method Percentage
Written exam 80
Set exercise 20

Other information on summative assessment:

A number of assignments and one examination.


Formative assessment methods:

Problem sheets.


Penalties for late submission:
The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.

  • where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
  • where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

  • The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
    You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

    Length of examination:

    2 hours.


    Requirements for a pass:
    A mark of 40% overall.

    Reassessment arrangements:

    One examination paper of 2 hours duration in August/September - the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus previous coursework marks (80% exam, 20% coursework).


    Additional Costs (specified where applicable):
    1) Required text books:
    2) Specialist equipment or materials:
    3) Specialist clothing, footwear or headgear:
    4) Printing and binding:
    5) Computers and devices with a particular specification:
    6) Travel, accommodation and subsistence:

    Last updated: 20 April 2017

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