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Module Specifications

Archived Version 2015 - 2016

Module Title Introduction to Differential Equations
Module Code MS225
School School of Mathematical Sciences

Online Module Resources

Module Co-ordinatorDr Michael ClancyOffice NumberX138B
NFQ level 8 Credit Rating 5
Pre-requisite None
Co-requisite None
Compatibles None
Incompatibles None
Description

This module provides students with an introduction to ordinary differential equations. Students will acquire the knowledge to understand courses in science which use differential equations. Also, students will develop the ability to solve differential equations which are common in engineering and scientific textbooks.

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 Study77No Description
Total Workload: 125

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 ODEs
Separable eqs; linear (homgeneous, inhomogeneous) eqs; integrating factor.

Second Order ODEs
Linear homogeneous eqs; particular solutions; variation of parameters; Wronskian; Cauchy-Euler eqs.

Higher Order ODEs

Systems of ODEs

Assessment Breakdown
Continuous Assessment10% Examination Weight90%
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
Unavailable
Indicative Reading List

  • E. Kreyszig: 0, Advanced Engineering Mathematics, Wiley,
Other Resources

None
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