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189-457B: Honors Algebra 4

-------------- Course blog --------- Assignments ----------------

Professor: Henri Darmon


Classes: MWF 9:35-10:25 AM, in BH 920

Office Hours: MW 10:30-11:30 or by appointment, in Burnside Hall 1111.

Tutorials: There will be no tutorials for this course. However, there is a Math Help Desk in BH911 operating Mondays to Fridays from noon to 5:00pm. This is a valuable ressource if you need extra help on the material or assignments, and you are encouraged to make use of it.

Main text: Although my course notes may occasionally deviate somewhat from these, I recommend the following as good secondary references for the course:

Optional Textbooks:
As for honors algebra 3, the classic textbook by Dummit and Foote comes highly recommended, if you do not balk at the hefty price tag.

In a more challenging vein, I also highly recommend the textbook
Eléments d'analyse et d'algèbre (et de théorie des nombres) by Pierre Colmez.
It covers a lot more ground than we will in this course, and would be equally appropriate for the analysis courses that you might be taking concurrently. It is beautifully written and belongs on the bookshelf of any mathematics student who is passionate about the subject.

Rudiments of the theory of modules over a ring. Finitely generated modules over a PID. Introduction to Galois theory.

Assignments are to be turned in on Wednesdays and will be returned, graded, the following Monday. There will be around 6 assignments in all during the semester, which will be assigned every two weeks.

Grading Scheme : There will be two possible schemes, and I will take the maximum of those.

1. 20% Weekly assignments, 30% Midterm, 50% Final.
2. 20% Weekly assignments, 80% Final.

Midterm Exam:. The midterm exam will be held, in class, on Friday, March 10 at the usual time (9:30-10:30).

The obligatory statements

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).

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.

In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change.