Differential Equations   Winter 22

The outline for our course. The content of our course.

Lecture 35. Lecture 34. Lecture 33. Lecture 32. Lecture 31. Lecture 30. Lecture 29. Lecture 28. Lecture 27. Lecture 26. Lecture 25. Lecture 24. Lecture 23. Lecture 22. Lecture 21. Lecture 20. Lecture 19. Lecture 18. Lecture 17. Lecture 16 . Lecture 15. Lecture 14. Lecture 13. Lecture 12. Lecture 11. Lecture 10. Lecture 9. Lecture 8. Lecture 7. Lecture 6 . Lecture 5. Lecture 4. Lecture 3. Lecture 2. Lecture 1.

Slope fields Notebook.
Solution curves Notebook. Solution curves with numerical integration Notebook.
Euler method Notebook.
Euler, improved Euler and RK Notebook.
Python exercise 5.
Resonance Notebook. The resonance Notebook with the system encapsulated in a class.
Pendulum Notebook. A version of the Pendulum Notebook which will work on Colab. The Python exercise is worth 3 marks.

Class exercise 1 and the solutions.
Class exercise 2 and the solutions.
Class exercise 3 and the solutions.
Class exercise 4 and the solutions.
Class exercise 5 and the solutions.
Class exercise 6 and the solutions.
Class exercise 7 and the solutions.
Class exercise 8 and the solutions.
Class exercise 9 and the solutions.
Class exercise 10 and the solutions.
Class exercise 11 and the solutions.
Class exercise 12 and the solutions.

A Notebook illustrating the geometry of an exact DE.
A Notebook for drawing phase portraits of 2d autonomous systems of DE's.
A GitHub page with some cool springs and masses animations.

Test 1 solutions.

Final exam solutions.

There are many free and open differential equations courses on the web. Here is one from MIT.