Registry

Module Specifications

Current Academic Year 2012 - 2013
Please note that this information is subject to change.

Module Title	Mathematical Methods/Computational Science
Module Code	CA659
School	School of Computing
Online Module Resources
Module Co-ordinator	Semester 1: Martin Crane Semester 2: Martin Crane Autumn: Martin Crane
NFQ level	8	Credit Rating	7.5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

Description

ACTIVE

Learning Outcomes

1. Recognise the various roles mathematics and mathematical modelling in the context of bioinformatics.
2. Understand the advantages and disadvantages of various different types of models for real world problems.
3. Translate real world problem specifications into well-formed mathematical equations.
4. Recognise the roles of differential and difference equations for abstracting the details of problems from experts in different disciplines.

Workload	Full-time hours per semester
*Type*	*Hours*	*Description*
Lecture	36	No Description
Tutorial	12	No Description
Examination	3	End of Year
Independent learning time	48	No Description
On-line learning	41	No Description
Library	48	No Description
Total Workload: 188

All module information is indicative and subject to change. For further information,students are advised to refer to the University's Marks and Standards and Programme Specific Regulations at: http://www.dcu.ie/registry/examinations/index.shtml

Indicative Content and Learning Activities

Introduction to Discrete Models of Growth and Decay.
 Revision of Underpinning Linear Algebra (eigenvalues, eigenvectors and meaning in this area, Stability in Difference Equations) Simple and Higher-Order Linear Difference Equations Applications (Fibonacci Series, Leslie Matrices) Non-linear Growth Models (logistic growth with additions, stability) Applications of Non-linear Models (Mendellian Genetics with various assumptions).

Introduction to Continuous Models.
 More Mathematical Underpinning■ Differential Equations and their Simplification by Non-dimensionalisation,■ Stability in Continous models (Jacobians, steady states, Routh-Hurwitz conditions etc) Linear and Non-Linear continuous models comparing and contrasting with discrete models.

Linear and Non-Linear Models of Interaction.
 Linear Compartmental Models with examples Non-Linear:■ More Mathematical Underpinning: Phase-Plane Plots■ Destructive to one party: Predator-Prey (RH conditions, phase plane analysis)■ Mutually Beneficial: Symbiosis (RH conditions, phase plane analysis)■ Mutually Destructive: Lanchester models of Guerrilla combat (RH conditions, phase plane analysis)■ More models of interaction: SIR, SIRS models of disease (RH conditions, phase plane analysis).

Assessment Breakdown
Continuous Assessment	0%	Examination Weight	100%

Course Work Breakdown
Type	Description	% of total	Assessment Date

Reassessment Requirement
Resit arrangements are explained by the following categories; 1 = A resit is available for all components of the module 2 = No resit is available for 100% continuous assessment module 3 = No resit is available for the continuous assessment component
This module is category 1

Indicative Reading List

Nicholas F. Britton: 2003, Essential Mathematical Biology, Springer Undergraduate Mathematics Series, 978-1852335366
Fulford, Forrester and Jones: 1997, Modelling with Differential and Difference Equations, Cambridge University Press, 052144618X

Other Resources

None

Array

Programme or List of Programmes

CAPD

PhD

MBIO

MSc in Bioinformatics

Timetable this semester: Timetable for CA659

Date of Last Revision

11-JAN-11

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