A Map

1. A visual representation of an area, whether real or imaginary.
2. A graphical representation of the relationships between objects, components or themes.
3. (mathematics) A function.
4. (entomology) Any of various nymphalid butterflies of the genera Araschnia
5. (especially, Araschnia levana) and Cyrestis, having map-like markings on the wings.
6. (Britain, old-fashioned) The face.
7. (board games, video games) An imaginary or fictional area, often predefined and confined, where a game or a session thereof takes place.

For the most part, map and function are synonyms in mathematics, and are frequently used interchangably, however certain branches of mathematics sometimes use map in a specialised sense to mean a function that preserves some important property in that branch of mathematics, i.e. a morphism. For instance, in topology, map may specifically mean a continuous function, and in linear algebra it may specifically mean a linear transformation.

plan

chart

(mathematics): mapping, function.

(video games): level, stage.