To identify "prerequisite" topics before diving into complex subjects like Quantum Mechanics or Data Science.
To get a PDF of the Map of Mathematics , the most famous and comprehensive version is the infographic created by physicist and science communicator Dominic Walliman. جامعة الملك سعود You can find a copy of this map hosted on the King Saud University Faculty portal
A student studying machine learning sees that it requires Linear Algebra (pure), Optimization (applied), and Probability (applied). The map reveals gaps in their knowledge.
The third major area is Geometry and Topology. Geometry focuses on the properties of shapes, sizes, and relative positions of figures. Topology, often called rubber-sheet geometry, takes this a step further by studying the properties of space that remain unchanged even when shapes are stretched or twisted, but not torn.