| Module Title |
Partial Differential Equations |
| Module Code |
MTH1051 (ITS: MS309) |
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Faculty |
Mathematical Sciences |
School |
Science & Health |
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NFQ level |
8 |
Credit Rating |
7.5 |
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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.
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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
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| Workload | Full time hours per semester | | Type | Hours | Description |
|---|
| Lecture | 36 | No Description | | Tutorial | 12 | No Description | | Independent Study | 140 | No Description |
| Total Workload: 188 |
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| Section Breakdown | | CRN | 11217 | Part of Term | Semester 1 | | Coursework | 0% | Examination Weight | 0% | | Grade Scale | 40PASS | Pass Both Elements | Y | | Resit Category | RC1 | Best Mark | N | | Module Co-ordinator | Paul Razafimandimby | Module Teacher | |
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| Assessment Breakdown |
| Type | Description | % of total | Assessment Date |
|---|
| 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;
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
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Pre-requisite |
None
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Co-requisite |
None |
| Compatibles |
None |
| Incompatibles |
None |
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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
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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.
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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 U.P.,
- I. Stakgold: 0, Green's Functions and Boundary Value Problems, Wiley,
Articles:
None |
Other Resources
None |
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