Welcome

Welcome#

This online textbook is associated with the course EngPhys 3NM4 at McMaster University.

Decompose into simpler problems.

This is an introduction to the book. Below are the main sections:

  • Boil everything down to a simple task (linear system of equations)

  • Approximate functions as weighted sums of simpler functions (a linear basis)

  • Expand functions as Taylor series

  • Achieve higher order accuracy by

    • approximating higher order derivatives.

    • cancelling over and under prediction by averaging.

AI is fast. Use your head before the computer or it will run away with you!

PDF of the full book

Pretrained notepadlm

Youtube channel with lectures

NotepadLM ‘Audio overview’ NB: The audio overview is AI generated from the notes. Although it is well grounded, it may still be incorrect.

This resource is being developed in part through the McMaster University Open Educational Resources grant.

Meme