Catalogue of Modules, University of Nottingham

G12INM Introduction to Numerical Methods
(Last Updated:03 May 2017)

Year  14/15

Total Credits: 20

Level: Level 2

Target Students:  Single Honours and Joint Honours students from the School of Mathematical Sciences. Available to JYA/Erasmus students.  Available to JYA/Erasmus students.

Taught Semesters:

SemesterAssessment
Full Year Assessed by end of Spring Semester 

Prerequisites: Knowledge of core mathematical concepts, methods and techniques as taught in G11ACF, G11CAL and G11LMA.

MnemTitle
G11ACF Analytical and Computational Foundations 
G11CAL Calculus 
G11LMA Linear Mathematics 

Corequisites:  None.

Summary of Content:  

This module introduces basic techniques in numerical methods and numerical analysis which can be used to generate approximate solutions to problems that may not be amenable to analysis. Specific topics include:

Method and Frequency of Class:

ActivityNumber Of WeeksNumber of sessionsDuration of a session
Lecture 23 weeks2 per week1 hour
Workshop 23 weeks1 per week1 hour

Activities may take place every teaching week of the Semester or only in specified weeks. It is usually specified above if an activity only takes place in some weeks of a Semester

Further Activity Details:
Three one-hour classes per week timetabled centrally of which one hour per week will be used for computer practical sessions.

Method of Assessment: 

Assessment TypeWeightRequirements
Exam 1 70 2 hour 30 min written examination 
Coursework 1 Exercise 1 - Assessed piece of coursework involving the understanding, implementation and application of numerical algorithms outlined in the module within MATLAB. 
Coursework 2 10 Exercise 2 - Assessed piece of coursework involving the understanding, implementation and application of numerical algorithms outlined in the module within MATLAB. 
Coursework 3 Exercise 3 - Assessed piece of coursework involving the understanding, implementation and application of numerical algorithms outlined in the module within MATLAB. 
Coursework 4 10 Exercise 4 - Assessed piece of coursework involving the understanding, implementation and application of numerical algorithms outlined in the module within MATLAB. 

Convenor: 

Education Aims:  

This module aims to introduce the concept of numerical approximation to problems that cannot be solved analytically, and to develop skills in Matlab through implementation of numerical methods. This module provides an important foundation on which students can develop skills and understanding in computational applied mathematics.

Learning Outcomes:  

A student who completes this module successfully should be able to:

Knowledge and understanding
write computer programs using Matlab;
describe the strengths and weaknesses of numerical methods and their sources of error;
apply appropriate numerical methods for nonlinear equations;
construct and implement LU factorisation of a matrix;
apply appropriate iterative methods for the numerical solution of linear systems of equations, and analyse their convergence;
construct and analyse the polynomial interpolant of a function;
derive families of orthogonal polynomials and exploit their properties for the construction of numerical quadrature formulae;
apply appropriate methods for the numerical differentiation of functions.

Skills
reason logically, work analytically and justify conclusions using mathematical arguments with appropriate rigour;
work with abstract concepts and in a context of generality;
transfer expertise between different topics in mathematics;
communicate results with clarity using appropriate styles, conventions and terminology;
make effective use of IT and software packages;
use high level of numeracy and accuracy to solve complex problems;
select and apply complex concepts, appropriate methods and techniques to familiar and novel situations;
work effectively, independently and under direction;
adopt effective strategies for study.

Offering School:  Mathematical Sciences


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