These notes cover pages 10-25 of Quirk & Greenbaum's A Concise Grammar of Contemporary English (Philadelphia: HBJ, 1973).
General note: You must understand how a chapter is organized in order to understand what's going on in it. Look at the typeface of the section title just above paragraph 2.2 in your book: Parts of a sentence, and compare that to the typeface of paragraph 2.2, Subject and Predicate. The former is a main division; the latter is a sub-division. Always make sure you understand how these parts work, or you may be seriously misled.
FIVE ELEMENTS OF GRAMMAR
You should note first of all that we're primarily concerned here with the grammar of the structure we call a sentence. Most scholars of language agree that the sentence is the basic unit of human languages, although we sometimes argue about just what constitutes a sentence. There are rules for the way we choose and combine the sounds in our language (the study of this is called phonology); there rules for the way groups of sounds combine to make up meaningful units in words (we call this morphology); there are rules for how all of these must be mapped out into a sentence. (This we call syntax.) The five sections we're given to represent the elements of grammar in fact represent what might be called syntactic domains. Each of these is addressed under each element