The preliminary syllabus for this course is:
Atiyah, M. F. & Macdonald, I. G. Introduction to Commutative Algebra.
Chapter 1 (all)
Chapter 2 (all)
Chapter 3 (all)
Chapter 4 p. 50-53, up to but not including Prop. 4.8.
From Chapter 5: p.59-61, ending at the heading "Going up theorem". Also Prop. 5.12 and Prop. 5.13.
Chapter 6 (all)
Chapter 7 (all)
Chapter 8 (all)
From Chapter 9: p. 93-95, ending at the heading "Dedekind domains".
Lecture notes on graded rings
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The syllabus is adequately covered by the lecture notes, mostly collected in one document here; the notes for the lecture of 13 Sep are found here.