Differential Equations

Notes from the course

• The lecture notes in one ps file: Notes.

Python files

• Solving ODE's, plotting solutions and direction fields

Group Projects

• Project I: The Problem with the Millenium Bridge
• Projects II: Soliton profiles

Tutorials

• Exactly soluble first order equations ; Solutions
• Picard theorem and direction fields ; Solutions
• Linear systems I ; Solutions
• The oscillating spring ; Solutions ;
• Second order equations ; Solutions
• Linear systems II ; Solutions
• Phase diagrams I
• Phase diagrams II

Groups

• List of group members
• Guidelines for group work on projects