Numerical Analysis - MAT00041H

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  • Department: Mathematics
  • Module co-ordinator: Dr. Konstantin Ilin
  • Credit value: 20 credits
  • Credit level: H
  • Academic year of delivery: 2016-17

Module will run

Occurrence Teaching cycle
A Autumn Term 2016-17 to Spring Term 2016-17

Module aims

In many mathematical problems that arise in applications, the solution cannot be found explicitly. Instead, one often applies numerical techniques in order to approximate the solutions. Indeed, there are many computer packages - for example, Maple and Mathematica - that are able to produce these numerical solutions, seemingly by magic.

This course introduces you to a selection of the most important numerical techniques, and explains how, when and why they work. Sources of error, and possibilities to reduce the error, will be explained. For some of the simpler techniques, we rigorously derive error estimates, demonstrating that the methods work to a specified accuracy.

In computer practicals you will learn how to implement the numerical methods in practice by means of computer packages (such as Maple or Excel) and/or programming languages (such as Java)

Module learning outcomes

At the end of the module you should be able to...

Derive elementary numerical methods from first principles,

Apply the numerical methods discussed to simple examples, using pen and paper (i.e., without the help of a computer),

Implement numerical methods using computer software, and apply them in examples,

Compute error estimates for simple numerical methods,

Judge under which circumstances a given numerical method is reliable,

Understand some elements of computer programming,

Understand the concept of computer algorithm.

Assessment

Task Length % of module mark
Essay/coursework
Computer-based assessments
N/A 20
Essay/coursework
Written coursework
N/A 20
University - closed examination
Numerical Analysis
2 hours 60

Special assessment rules

None

Reassessment

Task Length % of module mark
University - closed examination
Reassessment - closed examination - 3 hrs
N/A 100

Module feedback

Information currently unavailable

Indicative reading

R L Burden and J D Faires, Numerical Analysis, Brooks/Cole (S 7.6 BUR).

G F Gerald and P O Wheatley, Applied Numerical Analysis, Addison-Wesley (S 7.6 GER)

F S Acton, Numerical Methods that Work, Mathematical Association of America (S 7.6 ACT).

The course will primarily follow selected chapters of the book by Burden and Faires mentioned above. Participants should make sure that they have access to a copy.



The information on this page is indicative of the module that is currently on offer. The University is constantly exploring ways to enhance and improve its degree programmes and therefore reserves the right to make variations to the content and method of delivery of modules, and to discontinue modules, if such action is reasonably considered to be necessary by the University. Where appropriate, the University will notify and consult with affected students in advance about any changes that are required in line with the University's policy on the Approval of Modifications to Existing Taught Programmes of Study.