Numerical Analysis I

Summary module description:
This module covers numerical methods in mathematics.

Aims:
To motivate, describe and analyse methods for solving non-linear equations, methods for polynomial interpolation, methods for approximating integrals and methods for approximating solutions to simple differential equations; to develop skills in programming numerical methods (for example, in MATLAB).

Assessable learning outcomes:
By the end of the module students are expected to be able to:
-analyse and apply iterative methods for non-linear equations to approximate problems.
-formulate methods for polynomial interpolation and 'best-fit'
-formulate and implement methods for approximating integrals
-formulate methods for solving simple initial value problems
-write computer programs to implement numerical methods

Additional outcomes:

Outline content:
This course discusses techniques for the solution of non-linear equations. Methods for polynomial interpolation and 'best-fit' curves are considered and methods for approximating integrals are developed. Finally methods are introduced for approximating solutions to certain differential equations.

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

Summative Assessment Methods:
Written exam 70%
Set exercise 30%

Other information on summative assessment:
Three pieces of assessed work and one examination.

Formative assessment methods:
Problem sheets.

Penalties for late submission:
The Module Convener 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.