Vocabulary, syntax, and grammar are all components of the linguistics of any given language. The linguistics of sign language consists of fingerspelling, body and hand movements, and facial expressions. Fingerspelling means that a word is spelled out by the fingers letter by letter. Obviously, spelling out every word is a rather time consuming method, and, therefore, fingerspelling is only a part of sign language, which is used primarily to express names and certain technical terms.
Other linguistic components of sign language are body and hand movements and facial expressions, which occur in conjunction with the finger movements. Whereas emotions can be expressed in the spoken language by a change in tone of voice, facial expressions fulfill this task in sign language. Emotions like shouting, laughing, and crying are expressed by mimicry.
Like any other language, sign language has its own grammar rules. Whereas verbs in many language are conjugated, grammatical information such as tense and aspect are expressed in sign language in a very different way, which is discussed in more detail in "Grammar of American Sign Language." The same applies to syntax, which is the order of words in a sentence. Again, different rules apply to sign languages that to spoken languages.