The three core graduate mathematics courses normally taken in the first semester are:
640:501 : Theory of Functions of a Real Variable I
Text: Real Analysis: Modern Techniques and Their Applications
640:551 : Abstract Algebra I
Text: Nathan Jacobson, Basic Algebra, Volumes 1 and 2, second edition.
Important Note: These volumes seem to be out of print. Copies are available from various used book websites (e.g. addall.com . Please look for the book well before the semester begins. If you have trouble finding the books, please send an email addressed to BOTH firstname.lastname@example.org and Professor Lepowsky (email@example.com).
640:503 : Theory of Functions of a Complex Variable I
Text: Complex Analysis by Elias Stein and Rami Shakarchi