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Module Specifications

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

Module Title Partial Differential Equations
Module Code MS412M
School School of Mathematics
Online Module Resources

Module Co-ordinatorSemester 1: Turlough Downes
Semester 2: Turlough Downes
Autumn: Turlough Downes
NFQ level 8 Credit Rating 0
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
Description
This module introduces students to 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. Additionally, this module provides a platform for modelling with partial differential equations or research in partial differential equations.

Learning Outcomes
1. Demonstrate understanding of selected definitions from the module content
2. Demonstrate understanding of selected theorems from the module content
3. Use selected solution techniques from the module content
4. Solve a wide range of problems from the module content



Workload Full-time hours per semester
Type Hours Description
Lecture36No Description
Tutorial12No Description
Independent learning140No 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..

Solution Techniques.
Separation of variables; mathematical justification; Green's functions; distributions; distributional solutions..

Assessment Breakdown
Continuous Assessment% Examination Weight100%
Course Work Breakdown
TypeDescription% of totalAssessment 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
  • 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
Array
Programme or List of Programmes
MFMMSc in Financial Mathematics
Timetable this semester: Timetable for MS412M
Date of Last Revision13-SEP-07
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