Module: Partial Differential Equations

Module Specifications..

Current Academic Year 2023 - 2024

Please note that this information is subject to change.

Module Title	Partial Differential Equations
Module Code	MS309
School	School of Mathematical Sciences
Module Co-ordinator	Semester 1: Turlough Downes Semester 2: Turlough Downes Autumn: Turlough Downes
Module Teachers	Turlough Downes
NFQ level	8	Credit Rating	7.5
Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

None
Formal Exam

Description

This module introduces students to methods of solving partial differential equations. Students will become familiar with first order quasi-linear and second order linear partial differential equations. A selection of analytic techniques for solving some partial differential equations that frequently occur in applications will be given. This module provides a platform for modelling with partial differential equations.

Learning Outcomes

1. demonstrate understanding of selected definitions from the module content
2. use selected solution techniques from the module content
3. solve a wide range of problems from the module content

*Type*	*Hours*	*Description*
Workload	Full-time hours per semester
Lecture	36	No Description
Tutorial	12	No Description
Independent Study	140	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

First Order Quasi-linear PDEs
Characteristics; weak solutions; shocks.

Second Order Linear PDEs
Initial and boundary value problems; characteristics; wave equation; Laplace's equation; heat equation.

Assessment Breakdown
Continuous Assessment	100%	Examination Weight	0%

Type	Description	% of total	Assessment Date
Course Work Breakdown
In Class Test	The in-class test will test understanding of various methods of solving partial differential equations.	50%	Week 6
In Class Test	As previous in-class test.	50%	Week 11

Reassessment Requirement Type
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

K.E. Gustafson: 0, Differential Equations and Hilbert Space Methods, Wiley,
Y. Pinchover and J. Rubinstein: 0, An Introduction to Partial Differential Equations, Cambridge U.P.,
I. Stakgold: 0, Green's Functions and Boundary Value Problems, Wiley,

Other Resources

None

Programme or List of Programmes

AFU	Age Friendly University Programme
BSSA	Study Abroad (DCU Business School)
BSSAO	Study Abroad (DCU Business School)
FIM	B.Sc. Financial Mathematics
HMSA	Study Abroad (Humanities & Soc Science)
HMSAO	Study Abroad (Humanities & Soc Science)
IESA	Study Abroad (Institute of Education)
IESAO	Study Abroad (Institute of Education)
SHSA	Study Abroad (Science & Health)
SHSAO	Study Abroad (Science & Health)

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