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Math 370 -
Algebra 3
Lecturer: Prof. Eyal Goren
Location and time: BURN 1214, MWF 8:35-9:25
Office Hours: MW 10:00 - 11:00 (BURN 1108)
Syllabus: Introduction to monoids, groups, permutation
groups; the isomorphism theorems for groups; the theorems of
Cayley, Lagrange and Sylow; structure of groups of low order.
Introduction to ring theory; integral domains, fields, quotient
field of an integral domain; polynomial rings; unique
factorization domains.
Pre-requisites: MATH 235 and either (MATH 247 or MATH 251).
Method of Evaluation:
10% assignments, 10% in-class quiz, 20% 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
recommended.
Textbooks:
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 my self 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
examples.
One can also consult the following very good text books
D. Dummit and R. Foote: Abstract algebra.
Michael Artin: Algebra.
The course notes
Assignments
Solutions
The QUIZ is
scheduled for Wednesday, September 25, 9:00 - 9:30 (In
Class).
-- Material for the quiz: sections 1 - 11 (inclusive) in the
notes.
QUIZ RESULTS
The MIDTERM is scheduled for Monday, October 21,
18:00 - 19:30 (RPHYS 112).
The material for the midterm is up to p-groups (inclusive). That
is, up to page 43 (inclusive) in the notes. You'd be required to
write proofs.
MIDTERM RESULTS
External links:
Official stuff:
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
change.