Numerical Analysis (MSc) - MAT00069H
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Department : Mathematics
Module co-ordinator : Dr. Eric Dykeman
Credit value : 20 credits
Credit level : H
Academic year of delivery : 2022-23
See module specification for other years:
2021-22
Module summary
This module is for postgraduate students only.
Related modules
Additional information
Pre-requisite:
Students should have taken an introduction to programming
Module will run
Occurrence
Teaching period
A
Autumn Term 2022-23 to Spring Term 2022-23
Module aims
To introduce numerical approximation techniques for solving standard problems in Mathematics, and explain when and why they work.
To derive some of these techniques rigorously from first principles.
To explain how (packaged) computer software is able to produce numerical solutions, and to enable a judgement of whether the results are reliable.
To provide opportunities for implementing numerical techniques on a computer.
Module learning outcomes
Subject content
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.
Academic and graduate skills
Understand some elements of computer programming
Understand the concept of computer algorithms
Module content
Syllabus
Numerical errors
Root finding for functions of one variable
Root finding for functions of several variables
Solving linear equation systems
Interpolation by polynomials
Numerical integration
Numerical differentiation
Initial value problems for ordinary differential equations
Boundary value problems for ordinary differential equations
Partial differential equations
Assessment
Task
Length
% of module mark
Closed/in-person Exam (Centrally scheduled) Numerical Analysis
2 hours
100
Special assessment rules
Pass/fail
Additional assessment information
20% of the final exam comes from computer based assessments, and 20% of the final exam comes from written coursework.
Reassessment
Task
Length
% of module mark
Closed/in-person Exam (Centrally scheduled) Numerical Analysis
2 hours
100
Module feedback
Current Department policy on feedback is available in the undergraduate student handbook. Coursework and examinations will be marked and returned in accordance with this policy.
Indicative reading
R L Burden and J D Faires, Numerical Analysis, Brooks/Cole
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 .