From this page you can access a collection of materials dealing with some important areas of introductory Ordinary Differential Equations. For Maynooth University students, this material is typically covered in parts of Ordinary Differential Equations (MT301C). These resources are not a replacement for the material covered in your lectures and assignments, rather you should use them as extra support to aid your understanding of any material you may have difficulties with.
Sections
Miscellaneous - General
- Free textbook on Elementary Differential Equation, Free textbook on Elementary Differential Equation with Boundary Value Problems, and Free textbook with Solutions to both Textbooks (all William F. Trench)
- Videos on an Introduction to Differential Equations & Simple Differential Equations (Khan Academy)
- Notes on Basic Concepts - Definitions & Direction Fields (Paul's Online Notes)
- A Video on Sketching the Directional Field (integralCALC)
- Videos on ODEs - First & Second Order, Logistic Function, Population Growth, Radio Active Decay & Complex Numbers (MathDoctorBob)
- Video on Euler's Method (Basic Idea) (Patrick JMT)
- Video on Euler's Method (Example) (PatrickJMT)
- Video on Euler's Method (Part 1 of 3) (integralCALC)