Module: Partial Differential Equations BPM

Latest Module Specifications

Current Academic Year 2025 - 2026

Module Title	Partial Differential Equations BPM
Module Code	MTH1092
Faculty	Science & Health	School	Mathematical Sciences
NFQ level	8	Credit Rating	5

Description

This module is co-taught with MTH1051. 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	24	No Description
Tutorial	8	No Description
Independent Study	125	No Description
Total Workload: 157

Section Breakdown
CRN	12018	Part of Term	Semester 1
Coursework	100%	Examination Weight	0%
Grade Scale	40PASS	Pass Both Elements	N
Resit Category	RC1	Best Mark	N
Module Co-ordinator	Paul Razafimandimby	Module Teacher

Type	Description	% of total	Assessment Date
Assessment 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 10

Reassessment Requirement Type
Resit arrangements are explained by the following categories; RC1: A resit is available for both^* components of the module. RC2: No resit is available for a 100% coursework module. RC3: No resit is available for the coursework component where there is a coursework and summative examination element. ^* ‘Both’ is used in the context of the module having a coursework/summative examination split; where the module is 100% coursework, there will also be a resit of the assessment

Pre-requisite	None
Co-requisite	None
Compatibles	None
Incompatibles	None

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.

Indicative Reading List

Books:

K.E. Gustafson: 0, Differential Equations and Hilbert Space Methods, Wiley,
Y. Pinchover and J. Rubinstein: 0, An Introduction to Partial Differential Equations, Cambridge University Press,

Articles:
None

Other Resources

None