Individualised assignments in LaTeX

This project is a framework to create individualised assignments for mathematics in LaTeX.

It is part of my bachelor's project at the Hochschule Ruhr West University of Applied Sciences and was created from August to October 2021.

The bachelor's thesis provides a complete, detailed overview of the framework and its components, shows alternative approaches and contains an evaluation of the framework. The slides of my thesis presentation may offer an easier, shorter introduction.

Prerequisites

The following libraries have to be present on your system.

• SymEngine (a standalone C++ symbolic manipulation library)
• Symbolic Lua (a computer algebra system written in Lua)
• Guidelines Support Library (in combination with the C++ Core Guidelines)
• doctest (C++ testing framework)

The framework was developed and compiled on Ubuntu 21.04 using

• Lua 5.3
• LuaLaTeX 1.12.0 (from TeX Live 2020)

Features

The framework consists of a randomisation module (documented here) and one module for symbolic computation (documented here).

In addition to that, there are some example tasks in /taskpool and there is a main document.tex that includes exercises from the task pool, along with a script create.sh which can be used to create individualised versions of the document.

Executing the create.sh script as follows

./create.sh document DocumentName list.csv

will create individualised versions of document.tex for each line present in the list.csv file. One file is generated with solutions and one without.

The csv file can be exported from the e-learning platform moodle. It has to adhere to the following format:

[[id]],"First name","Surname","ID number"

The individualised pdf files will be present in the /output folder and will be named ID_FirstName_LastName_DocumentName.pdf (without solutions) and ID_FirstName_LastName_DocumentName_Solutions.pdf.

Examples

There are three example tasks for different topics for introductory mathematics courses. One for calculus, for analysis and for linear algebra

License

(c) Thomas Flinkow 2021

Distributed under the MIT license. See LICENSE for more information.