Numerical Methods in the Python Ecosystem, Janko Slavič, 2026/27

The content presented here is the basis for the Numerical Methods course taught at the Faculty of Mechanical Engineering (University of Ljubljana):

• Numerical Methods, 2nd year RR

The lecture templates (Jupyter notebooks) are located in the notebooks folder, or you can view them in the online book (links are listed below).

The exercise templates (problem definitions, without solutions) are located in the Exercise templates folder.

This is the American-English translation of the Slovenian book pynm.

The whole book is also available as a PDF (rebuilt automatically on every deploy).

Please read the Study and Examination Rules; it contains key information about taking the course.

Lecture schedule¶

1. Oct 5: Introduction to Python, part 1

2. Oct 12: Introduction to Python, part 2

3. Oct 19: Printing, file handling, functions, modules

4. Oct 26: Modules, NumPy, Matplotlib

5. Nov 2: Object-oriented programming, symbolic computation

6. Nov 9: Introduction to numerical methods and systems of linear equations 1

7. Nov 16: Systems of linear equations 2

8. Nov 23: Interpolation

9. Nov 30: Approximation

10. Dec 7: Root finding

11. Dec 14: Numerical differentiation

12. Dec 21: Numerical integration

13. Jan 4: Numerical solution of differential equations - initial value problem and boundary value problem

14. Jan 11: Testing code correctness, user interface

15. Introduction to Mathematica*

* Optional lecture. Students of the Faculty of Mechanical Engineering UNI-LJ can obtain a licensed version of Mathematica at this link.

License¶

This work is free for non-commercial use, provided that you cite the source, the author, and the Faculty of Mechanical Engineering, University of Ljubljana.