Course Notes

The course notes can be found here.

Changelog

All changes to the notes will be documented here.

[0.1.11] : 14.05.2025

Changed

• More information in upper/lower triangular matrices
• Detail in least squares fitting

[0.1.10] : 29.04.2025

Changed

• Error in summation in Trapezium rule

[0.1.9] : 23.04.2025

Changed

• Error in definition of Hölder continuous functions

[0.1.8] : 02.04.2025

Changed

• Consistency for collocation matrix notation

[0.1.7] : 25.02.2025

Changed

• Clearer notation in Gaussian Elimination with scaled partial pivoting and in $LU$ decomposition

[0.1.6] : 05.02.2025

Changed

• Change course title from JTMS to CTMS and changed the year from 2024 to 2025

[0.1.5] : 18.12.2024

Changed

• Changed link to location in abstract, and dates course is running

[0.1.4] : 17.10.2024

Changed

• Changed link to location in abstract

[0.1.3] : 14.05.2024

Added

• Butcher array in Runge-Kutta section

Changed

• Vertical spacing between some sections

[0.1.2] : 10.05.2024

Fixed

• Definition 6.2: Fixed incorrect indices in the collocation matrix

[0.1.1] : 24.04.2024

Added

• Watermark on side of first page to denote version and date

Fixed

• Definition 5.2: Newton’s method - added missing derivative in formula

[0.1] : 23.04.2024

Added

• Version uploaded