The curriculum is:
J. N. McDonald and N. A. Weiss, A course in real analysis, 2nd edition, Academic Press. Sections 10.5, 11.3, 14.4-14.6.
G. K. Pedersen, Analysis Now, 1989. Springer. ISBN: 978-0-387-96788-2. Corrected 2nd printing. Sections 3.2-3.4, 4.1-4.6. Link to Springer's homepage for this book.