In "tuesdays with morrie", mitch albom writes about the last class of his old professor's life. why does mitch refer to the book as "a last class", and what is significant about the set up of the book?

"Tuesdays with Morrie" by Mitch Albom is an autobiographical story of Mitch and how he used to have regular Tuesday meetings with his old college professor. Mitch referred to this 'class' as "A last Class" as it most probably will be the last of his professor's life as he's suffering from ALS (Amyotrophic Lateral Sclerosis)

Explanation:

Mitch's book is all about the life class that he's taking from his old professor who's suffering from Lou Gehrg's disease or popularly known as ALS. This disease destroys the neurons that control the voluntary muscles. He is the student, "player" while Morrie Albom is the professor, 'Coach", just like in college.  And it will most probably be his last class with Mitch as he is going to die. It is a memoir of his days with him, and his respect for him and the wisdom he imparts to his former student.

What is significant about the set up of the book is that it gives detailed notes and thoughts on the discourse about life between the former student and his professor, representative of a class lecture, the notes neatly and carefully put in according to the dates and the detailed listing of the lessons and the 'chapter' names. The book represents the class notes that students take down from their professor's lectures, and the last class of his professor, telling him about the uselessness of material things in life that will only be nothing when one dies. It is representative of a teacher-student interaction, even though both had already been adults with successful careers.

it was surely an odd creature that one made up by reading the historians first and the poets afterwards a worm winged like an eagle; the spirit of life and elegance and charm,   in a kitchen chopping up suet. but these creatures, monst'r however entertaining to the imagination, hast no existence in fact. what one might doth to bringeth h'r to life wast to bethink poetically and prosaically at one and the same moment,   thus keeping in toucheth with fact—that the lady is mrs martin, ag'd thirty-six, did dress in blue, wearing a black coxcomb and brown shoeth; but not losing sight of fiction eith'r—that the lady is a vessel in which all s'rts of spirits and f'rces art coursing and flashing p'rpetually. the moment, howev'r, yond one tries this method with the elizabethan mistress, one brancheth of illumination fails; one is did hold up by the scarcity of facts.   one knoweth nothing detailed, nothing p'rfectly true and substantial about h'r.   hist'ry scarcely mentions h'r.   and i did turn to professeth'r trevelyan again to seeth what hist'ry meanteth to that gent.   i hath found by looking at his chapt'r headings yond t meanteth.