For the sake of being comprehensive, I would like to introduce you to the 40 Snare Drum Rudiments (Wikipedia link) alluded to in previous answers by others on this page.
This link takes you to a really nice 40 Rudiments online tutorial provided by the Vic Firth drum stick company.
They are a set of exercises for snare drum alone, to learn basic patterns that are applicable in all types of Western music, and which are useful to develop rhythmic accuracy and dexterity.
The Rudiments started to be codified in the year 1612, for use by military snare drummers on the battlefield, according to the Wikipedia article referenced above. To this very day, all drummers of any and all styles of Western music who get formal training start by mastering all of these 40 rudiments on the snare drum before they go any further in learning to play drums. [I remember reading an interview with the famous hard rock drummer Tommy Aldridge who said that even though he is entirely self-taught, he started out playing drums by teaching himself the 40 rudiments on snare from a method book, and did not start adding additional drums to his kit until he had mastered playing these rudiments on solo snare.]