Programme And Module Handbook
 
Course Details in 2016/17 Session


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Module Title LM Numerical Linear Algebra with Applications
SchoolMathematics
Department Mathematics
Module Code 06 27689
Module Lead Dr Chris Good
Level Masters Level
Credits 10
Semester Semester 2
Pre-requisites LI Linear Algebra & Linear Programming - (06 25765) LI Numerical Methods & Programming - (06 25669)
Co-requisites
Restrictions This module cannot be taken in combination with level H clone of this module.
Contact Hours
Exclusions
Description Numerical linear algebra is the language of all scientific computing, particularly for applications arising in mathematical and engineering modelling. This module is aimed at applied mathematicians with an interest in numerical methods and more generally scientific computation. After a review of linear algebra topics and an introduction to matrix theory and computation, the module will discuss in detail methods for linear systems of equations, both direct and iterative, methods for eigenvalue problems and an introduction to fast Fourier transforms. The module will include a programming component; in particular, standard algorithmic concepts will be introduced together with notions of computational complexity and good coding practice.
Applications drawn from applied mathematics (e.g., dynamical systems, ordinary and partial differential equations etc) will be used for illustration purposes. This module will use the computer package Matlab.
Learning Outcomes By the end of the module students should be able to:
  • be familiar with a range of common topics from matrix analysis and matrix computations;
  • be aware of the standard methods employed in Numerical Linear Algebra, including methods for linear systems of equations and for eigenvalue calculation;
  • be aware of basic algorithmic concepts and be able to implement and manipulate several linear algebra constructs in a computational environment;
  • be able to formulate several problems of applied mathematics as numerical linear algebra tasks.
Assessment 27689-01 : Raw Module Mark : Coursework (0%)
27689-02 : Final Module Mark : Coursework (100%)
Assessment Methods & Exceptions 100% from coursework and/or class tests.
Other
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