MA2NANNU-Numerical Analysis

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:5
Terms in which taught: Autumn term module
Pre-requisites: MA0MANU Mathematical Analysis and MA1RA1NU Real Analysis 1 and MA1MPRNU Mathematical Programming and MA1DE1NU Differential Equations I and MA1LANU Linear Algebra
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2021/2

Module Convenor: Dr Peter Chamberlain
Email: p.g.chamberlain@reading.ac.uk

Type of module:

Summary module description:

This module introduces students to the study of numerical approximation techniques for problems of continuous mathematics.  We consider both theoretical questions regarding how, why and when numerical methods work, and practical implementation using computer programs.

The Module lead at NUIST is Dr Yan Feng.

Aims:

To motivate, describe, analyse and implement numerical methods for problems in continuous mathematics, including interpolation, fitting,  solution of nonlinear equations; approximation of integrals; solution of differential equations.  To develop skills in programming numerical methods.

Assessable learning outcomes:

By the end of the module, students are expected to be able to formulate, analyse and implement (including on a computer) numerical approximation techniques for a range of problems including:

• interpolation;


• fitting based to measurements;


• solution of nonlinear equations;


• evaluation of integrals;


• solution of initial-value problems for ordinary differential equations.

Additional outcomes:

Master a programming language or computational tool to do some numerical analyses.

Outline content:

This course discusses numerical approximation techniques for a range of problem, including interpolation, fitting, solution of nonlinear equations, evaluation of integrals, and solution of initial-value problems for ordinary differential equations.

Brief description of teaching and learning methods:

Lectures supported by problem sheets and tutorials/practicals.

Contact hours:

	Autumn	Spring	Summer
Lectures	52
Practicals classes and workshops	10
Guided independent study:
Wider reading (independent)	20
Wider reading (directed)	8
Exam revision/preparation	10
Total hours by term	100	0	0
Total hours for module	100

Summative Assessment Methods:

Method	Percentage
Written exam	70
Class test administered by School	30

Summative assessment- Examinations:

Length of examination:      2 hours

Summative assessment- Coursework and in-class tests:

One examination and a number of class tests.

Formative assessment methods:

Problem sheets.

Penalties for late submission:

The Support Centres 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 (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 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 (70% exam, 30% coursework).

Additional Costs (specified where applicable):

Last updated: 16 April 2021