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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-ordinatorSemester 1: Turlough Downes
Semester 2: Turlough Downes
Autumn: Turlough Downes
Module TeachersTurlough Downes
NFQ level 8 Credit Rating 7.5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
Formal Exam

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

Workload Full-time hours per semester
Type Hours Description
Lecture36No Description
Tutorial12No Description
Independent Study140No 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 Assessment100% Examination Weight0%
Course Work Breakdown
TypeDescription% of totalAssessment Date
In Class TestThe in-class test will test understanding of various methods of solving partial differential equations.50%Week 6
In Class TestAs 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

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IESAStudy Abroad (Institute of Education)
IESAOStudy Abroad (Institute of Education)
SHSAStudy Abroad (Science & Health)
SHSAOStudy Abroad (Science & Health)

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