2024/25 Undergraduate Module Catalogue

XJCO2421 Numerical Computation

10 creditsClass Size: 100

Module manager: Dr Thomas Ranner
Email: t.ranner@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2024/25

Pre-requisites

XJCO1421	Fundamental Mathematical concepts
XJCO1721	Object Oriented Programming

This module is not approved as a discovery module

Module summary

Accuracy of floating-point computation. Standard numerical algorithms for linear equation systems, nonlinear equations, ordinary differential equations. The design of accurate, robust and efficient implementations in code.

Objectives

Learning outcomes
On completion of the year/programme students should have provided evidence of being able to:

- Use, data-based arguments to justfy choosing a computational algorithm appropriately, accounting for issues of accuracy, reliability and efficiency;
- Understand how to assess/measure the error in a numerical algorithm and be familiar with how such errors are controlled;
- Implement simple numerical algorithms accurately and present results in a variety of forms.

Syllabus

Approximation: converting a real-world problem, via a mathematical model, to a form which can be understood by a computer; discretising a continuous model; measuring, analysing and controlling approximation errors; balancing accuracy and efficiency.
Static systems: simple iterative methods for solving nonlinear scalar equations; direct and iterative methods for solving linear systems of equations.
Evolving systems: differentiation as rate of change and as the limit of a gradient (including derivatives of simple functions); initial value ordinary differential equations, simple methods for initial value problems.

Teaching methods

Delivery type	Number	Length hours	Student hours
Lecture	20	1.00	20.00
Tutorial	10	1.00	10.00
Private study hours			70.00
Total Contact hours			30.00
Total hours (100hr per 10 credits)			100.00

Opportunities for Formative Feedback

Tutorial / lab sessions.
Format essays in style of final assessment

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	8 weekly assigned short questions. Best 6 of 8 give credit.	20.00
Total percentage (Assessment Coursework)		20.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc) (S2)	2 hr 00 mins	80.00
Total percentage (Assessment Exams)		80.00

This module is reassessed by an exam only.

Reading list

There is no reading list for this module

Last updated: 25/09/2024 09:18:38

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