Introduction to Differential Equations
Dublin City University
Area of Study
Taught In English
Course Level Recommendations
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Hours & Credits
The purpose of this module is to equip students with the knowledge and skills relevant to elementary ordinary differential equations. This will involve dealing with the theory of such equations, as well as learning methods of solution for the most important classes of these equations. The importance of using rigorous mathematical arguments in this analysis will be emphasised. Students will attend workshop style lectures in which they reconstruct the main results and methods of the topic through guided enquiry. They will also attend review lectures and tutorials that recap on previously encountered material. They will undertake exercises and problems to be presented for assessment.
1. Classify ordinary differential equations;
2. Synthesise different mathematical techniques to determine quantitative and qualitative information about those equations and their solutions;
3. Construct mathematical models using differential equations and study those models and their applications;
4. Apply rigorous mathematical analysis to the study of the theory of ordinary differential equations.