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Math 251: Honours Algebra II
Instructor: Professor Eyal
Goren (eyal.goren@mcgill*dot*ca), BH 1108.
Office hours: MWF 9:30 - 10:00, or by appointment.
Class: MWF 8:35-9:25, BH 1B23
This course is devoted to the theory of vector spaces and linear
transformations. Applications to systems of linear equations,
quadratic forms, graph theory, coding theory and more, are
sometimes discussed in detail (linear equations) and sometimes are
only hinted at (graph theory). Below you will find the official
course syllabus and recommended texts. More detailed information
concerning the course and all further announcements, assignments
and so on will appear on my
Official course syllabus: Linear equations over a
field. Introduction to vector spaces. Linear maps and their matrix
representation. Determinants. Canonical forms. Duality. Bilinear
and quadratic forms. Real and complex inner product spaces.
Diagonalization of self-adjoint operators.
Pre-requisites: MATH 235 or permission of the department.
Method of Evaluation: 5% assignments, 10% in-class quiz,
20% midterm, 65% final. Or, if better, 100% final.
Scheduling of, and make-up for, the quiz, or the midterm, will be
done following university regulations.
Showing up to classes is not mandatory, but is strongly
recommended. As well, attempting all the assignments is highly
Textbook: The official textbook for the course is my online
notes. I also recommend the very affordable text book Seymour
Lipschutz/Linear Algebra book by Schaum Outiline series.
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/students/srr/honest/ 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
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