MA4ANA-Advanced Numerical Analysis

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:7
Terms in which taught: Autumn term module
Pre-requisites: MA1LA Linear Algebra and MA2NA1 Numerical Analysis I or MA2NAN Numerical Analysis or MT24C Numerical Methods for Environmental Science and MA2RA1 Real Analysis I or MA1RA1 Real Analysis I
Non-modular pre-requisites: some knowledge of Matlab programming
Co-requisites:
Modules excluded:
Current from: 2018/9

Module Convenor: Dr Tristan Pryer

Email: t.pryer@reading.ac.uk

Type of module:

Summary module description:

In this course, we consider the design and analysis of algorithms for the approximate solution of problems of continuous mathematics, with a particular focus on topics such as interpolation, polynomial approximation, and integration.

Aims:

To motivate, design and analyse a range of algorithms for the approximate solution of problems of continuous mathematics.

Assessable learning outcomes:

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

- Apply and analyse a range of techniques in approximation theory for appropriate problems;

- Devise, analyse and apply a range of numerical integration techniques;

- Implement a range of numerical methods on a computer.

 

This module will be assessed to a greater depth than the excluded module MA3NAT.

Additional outcomes:

Outline content:

In this course, we consider the design and analysis of algorithms for the approximate solution of problems of continuous mathematics, with a particular focus on topics such as interpolation, polynomial approximation, and integration.

Brief description of teaching and learning methods:

Lectures supported by problem sheets and tutorials/practicals.

Contact hours:

	Autumn	Spring	Summer
Lectures	20
Practicals classes and workshops	5
Guided independent study	75
Total hours by term	100.00
Total hours for module	100.00

Summative Assessment Methods:

Method	Percentage
Written exam	70
Set exercise	30

Summative assessment- Examinations:

One examination, two hours.

Summative assessment- Coursework and in-class tests:

A number of written and programming assignments.

Formative assessment methods:

Problem sheets

Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late:

where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day[1] (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.

Assessment requirements for a pass:

A mark of 50% 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 (70% exam, 30% coursework).

Additional Costs (specified where applicable):

Cost	Amount
Required text books
Specialist equipment or materials
Specialist clothing, footwear or headgear
Printing and binding
Computers and devices with a particular specification
Travel, accommodation and subsistence

Last updated: 31 July 2018