Programme And Module Handbook
 
Course Details in 2016/17 Session


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Module Title LM Numerical Methods II
SchoolMathematics
Department Mathematics
Module Code 06 27686
Module Lead Dr Chris Good
Level Masters Level
Credits 10
Semester Semester 1
Pre-requisites LI Numerical Methods & Programming - (06 25669) LI Differential Equations - (06 25670)
Co-requisites
Restrictions This module cannot be taken in combination with level H clone of this module.
Contact Hours
Exclusions
Description This module builds upon the core numerical techniques students learned in Year 2.
It further develops theoretical foundations of practical algorithms for approximating functions and data (Lagrange and Hermite interpolation, adaptive approximation), for solving systems of nonlinear equations (Newton's method and its variants, fixed-point methods), for efficient evaluation of integrals (Romberg, Gaussian, and adaptive quadratures), and for numerical solution of ordinary differential equations (Taylor series method, Runge-Kutta methods, multistep methods). Theoretical and practical aspects of numerical algorithms will be illustrated with MATLAB examples, but no programming will be required.
Learning Outcomes By the end of the module students should be able to:
  • Construct Lagrange and Hermite interpolants for given functions or data.
  • Implement a range of iterative techniques for solving systems of nonlinear equations.
  • Solve ordinary differential equations numerically using a range of methods.
  • Students taking the module at Level M will explore the subject beyond the taught syllabus.
Assessment 27686-01 : Raw Module Mark : Coursework (0%)
27686-02 : Final Module Mark : Coursework (100%)
Assessment Methods & Exceptions Assessment: 90% on one 1.5-hour examination; 10% from coursework and/or class tests.
Other None
Reading List