This is a formulary and set of notes I am writing as part of my own mathematics study. The formulary will cover essential topics, rules and considerations when working with equations up to and including differential equations, introductory linear algebra and statistics. As I write it, a focus on the behavior of equations and their operations is emerging. Therefore, it is a sort of 'meta-formulary' which also deals with the behavior of terms of functions.

Much of the content here will be given with much more complete treatment on my website, feel free to dive in.

The idea for a formulary started with upcoming exams. I wanted a handy reference and everything I found had one of the following problems:

• It was too basic
• It was too advanced
• It was missing material
• Explanations were poor or did not exist

As a relative tyro and with tests coming up it just made sense to start writing my own.

• As much as possible images of graphs are provided in the files.
• I used Obsidian with the plugin 'Obsidian Functionplot'and the original code to render the graphs in Obsidian with this plugin installed is provided in the text.
• At a later stage I will provide Python code and jupyter files for all the graphs and functions.
• There are Maple files, section by section, each with graphed functions. These are also visible in the text.
• All assets are available in the assets directory.

I am studying (full-time) and working (full-time). This creates some limits on my free time. However, this is an active project, along with learning Python, Scilab, Stata and Maple.

I therefore created an outline (see the outline file) as a guide. It can also be used as a draft content. I welcome comments and feedback, especially where it helps to improve the usability of the formulary, where I have made mistakes or where my understanding is improved.