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Math 371 -
Lecturer: Prof. Eyal Goren
Location and time: BURN 920, MWF 8:35-9:25
Office Hours: M 11:30 - 12:30, W 10:00-11:00 (BURN 1108),
and you can also always catch me just after class for quick
Syllabus: Introduction to modules and algebras; finitely
generated modules over a principal ideal domain. Field
extensions; finite fields; Galois groups; the fundamental
theorem of Galois theory; application to the classical problem
of solvability by radicals.
Pre-requisites: MATH 370 or equivalent.
Method of Evaluation:
15% assignments, 10% in-class quiz, 15% midterm, 60% final. Or,
if better, 100% final.
There will be no make-up for the quiz, or the midterm; people
not able to write those will get a mark of 0 for those, but can
still enjoy the 100% final option.
Showing up to classes is not mandatory, but is strongly
recommended. As well, attempting all the assignments is highly
The official textbook for the course is my online notes. Note
that these will be updated and expanded during the term. It is
therefore wise to not actually print them until the end of the
term. I will follow my notes quite closely, but quite often
allow myself to deviate, or to give an alternative approach. In
fact, as a rule of thumb, I shall attempt to provide examples in
class that are not in the notes thereby providing you with more
One can also consult the following very good text book, where
most of the material can be found,
D. Dummit and R. Foote: Abstract algebra.
The course notes
(There will be no solutions posted for the assignments, but, if
possible, I will often stay after class to solve the harder
exercises. You may come to office hours to ask about exercises
you don't feel confident with; also see above regarding exercise
QUIZ: Monday, February 3, 8:30 - 9:00 AM. In class. Topic:
modules. Results were posted through MyCourses.
MIDTERM: Tuesday, March 11, 17:30 - 19:00 in BURN 1B23. The
material is everything from the first lecture until "cyclotomic
fields" (inclusive). You will be examined both on proofs and
applications. The exam has 5 questions, each worth 27 points
distributed equally between its subquestions. You may answer as
many questions as you wish (the grade is capped at 100). You may
answer certain subquestions based on previous subquestions, even
if you haven't answered the previous subquestions. That being
said, I'll be quite strict when marking. So simply scribbling
some half-baked ideas is probably not the best strategy.
EXERCISE SESSIONS: Friday, 10:30-11:30, BURN 920.
Academic integrity: McGill University values academic
integrity. Therefore, all students must understand the meaning
and consequences of cheating, plagiarism and other academic
offences under the Code of Student Conduct and Disciplinary
Procedures (see www.mcgill.ca/integrity for more information).
Submitting work: In accord with McGill University’s
Charter of Students’ Rights, students in this course have the
right to submit in English or in French any written work that is
to be graded.
Syllabus and Grade Calculation: In the event of
extraordinary circumstances beyond the University’s control, the
content and/or evaluation scheme in this course is subject to