Ordinary Differential Equations - MAST5012

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Module delivery information

This module is not currently running in 2024 to 2025.


This module introduces the basic ideas to solve certain ordinary differential equations, like first order scalar equations, second order linear equations and systems of linear equations. It mainly considers their qualitative and analytical aspects. Outline syllabus includes: First-order scalar ODEs; Second-order scalar linear ODEs; Existence and Uniqueness of Solutions; Autonomous systems of two linear first-order ODEs.


Contact hours

Total contact hours: 42
Private study hours: 108
Total study hours: 150

Method of assessment

Assessment 1 (10-15 hrs) 20%
Assessment 2 (10-15 hrs) 20%
Examination (2 hours) 60%

Reassessment methods:

Indicative reading

E. Kreyszig, Advanced Engineering Mathematics (10th edition), John Wiley, 2011
Robert L. Borrelli, Courtney S. Coleman, Differential Equations: A Modeling Perspective, 2nd Edition (ISBN: 978-0-471-43332-3), 2004.

See the library reading list for this module (Canterbury)

Learning outcomes

The intended subject specific learning outcomes. On successfully completing the module students will be able to:

1 demonstrate knowledge and critical understanding of the well-established principles within ordinary partial differential equations (ODEs);
2 demonstrate the capability to use a range of established techniques and a reasonable level of skill in calculation and manipulation of the material to solve problems in the
following areas: phase portraits, stability of fixed points, the Frobenius method, autonomous linear systems of ODEs;
3 apply the concepts and principles in basic ODE methods in well-defined contexts beyond those in which they were first studied, showing the ability to evaluate critically
the appropriateness of different tools and techniques.


  1. ECTS credits are recognised throughout the EU and allow you to transfer credit easily from one university to another.
  2. The named convenor is the convenor for the current academic session.
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