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Numerical Analysis - MAT00041H

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  • Department: Mathematics
  • Module co-ordinator: Dr. Eric Dykeman
  • Credit value: 20 credits
  • Credit level: H
  • Academic year of delivery: 2021-22
    • See module specification for other years: 2022-23

Related modules

Pre-requisite modules

Co-requisite modules

  • None

Prohibited combinations


Additional information

Pre-requisite modules:

Calculus (MAT00001C) and Algebra (MAT0010C), or

Mathematics for the Sciences I (MAT00007C) and Mathematics for the Sciences II (MAT00008C).

Plus Mathematical Skills II (MAT00027I), or sufficient programming skills obtained otherwise (e.g., through the Mathematics and Computer Science Combined programme)

Module will run

Occurrence Teaching period
A Autumn Term 2021-22 to Spring Term 2021-22

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
Essay/coursework
Computer-based assessments		 N/A 20
Essay/coursework
Written coursework		 N/A 20
Online Exam -less than 24hrs (Centrally scheduled)
Numerical Analysis		 2 hours 60

Special assessment rules

None

Reassessment

Task Length % of module mark
Online Exam -less than 24hrs (Centrally scheduled)
Reassessment - closed examination - 2 hrs		 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.