"Advanced Math for Physics" course - All Equations  v.2024-01-17  SummaryThis Authorea document, written by Michiel Schotten (Dolphinity, the Netherlands), contains all the mathematical equations in LaTeX format from the "Advanced Math for Physics" course created by Ville Hirvonen from "Profound Physics" at https://profoundphysicscourses.com/courses/vector-calculus-for-physics-a-complete-self-study-course-copy/ (before a major update of this course was done in January 2024).  The purpose of this document is to create downloadable PDFs of the online course material, a project commissioned by Profound Physics and carried out by Dolphinity.Background & MethodThe reason Authorea was chosen for this project is because it allows to import the equations from the course material in LaTeX format, which are beautifully rendered as the correct equations in Authorea; and then to export it into MS-Word, where the equations are automatically converted into MS Word's Equation fields (a unique feature that Authorea provides).  Each MS-Word equation can then be inserted into the appropriate place into the copied course material, with customizable layout and formatting in MS-Word, and then saved as a separate PDF document for each lesson.The steps taken to create this Authorea document are:Copy/paste the HTML of each lesson from the course website into MS-WordUsing an Advanced Find function in MS-Word, find the HTML code of each equation, and copy/paste that piece of HTML code into MS-Excel (so one equation per MS-Excel row, copy/pasting them one by one)Using customized MS-Excel formulas, convert the HTML code of each equation (including the URL-specific character codes that it contains) into the proper LaTeX format(For the URL character conversion, I used https://www.urldecoder.org/ )Using the "Concatenate" formula in MS-Excel, wrap the LaTeX code of each equation within "\[...\]\\" characters, so that each equation will be rendered in Authorea in the "Display" format and with one line of space in between each equationIn the Authorea document, from the top menu select:  Insert/LaTeXWithin the newly created block of LaTeX in Authorea, copy/paste the desired block of MS-Excel cells with the wrapped LaTeX equationsClicking outside of the LaTeX block will have Authorea properly render these equationsExport this Authorea document to MS-Word (where the LaTeX equations will be automatically converted to MS-Word Equation fields), using "Export" in the top right cornerFor additional information, see this excellent tutorial on how to use LaTeX within Authorea: https://www.authorea.com/users/77723/articles/110898-how-to-write-mathematical-equations-expressions-and-symbols-with-latex-a-cheatsheet .