The course begins with an introduction to algebraic cycles and the big de Rham-Witt complex and concludes with the statement and proof of a theorem of Ruelling that the big de Rham-Witt complex of a field of positive characteristic is a complex of zero-cycles. Please see the syllabus for a more detailed description.
Here is a note on the construction of norm maps in Milnor K-theory.
Here is a note on big and small Witt vectors.
Here are my hand-written lecture notes from the course.