Module Specifications..
Current Academic Year 2023  2024
Please note that this information is subject to change.
 
None Formal Exam 

Description This module introduces students to both the methods and underlying theory of solving partial differential equations. Students will become familiar with first order quasilinear 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 both a platform for modelling with partial differential equations and an introduction to analysing the nature of these equations. In contract to MS309, a closely related module, students are expected to develop an ability to critique the various solution methods and to demonstrate a deep understanding of when and why they can be used.  
Learning Outcomes 1. state and interpret relevant defintions related to partial differential equations. 2. utilise the main analytic solution techniques for partial differential equations. 3. distinguish between the various types of differential equations 4. interpret the characteristics of hyperbolic, parabolic and elliptic equations 5. assess which solution method is appropriate for the main classes of differential equations.  
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 Quasilinear 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
 
Other Resources None  
Programme or List of Programmes
 
Archives: 
