MATH 133

Linear Algebra and Geometry

McGill University

Analyzes elementary theory of affine and projective planes, the line at infinity, finite geometries, Euclidean and non-Euclidean geometries, groups of transformations, and other algebraic structures related to geometry.

24HR Notes for MATH 133

Available 24 hours after each lecture

Jerome Fortier

MATH 133 Syllabus for Jerome Fortier — Fall 2018

McGill University, Department of Mathematics and Statistics
Course Outline, Fall 2018
MATH 133 – Linear Algebra and Geometry (3 CR)
Section Name Office E-mail
001 J´erˆome FortierBURN 1126
002 Liangming Shen BURN 1243
003 Yann Pequignot BURN 1208
004 Damian Osajda BURN 915
This instructor is also the course coordinator.
Teaching Assistants Please see list on myCourses.
- Classes period : From Tuesday, September 4 to Tuesday, December 4.
- Weekly schedule : 3 hours lecture, 1 hour tutorial.
- Final Exams weeks : From Thursday, December 6 to Thursday, December 20.
- Exceptions :
Monday, October 1 : Qu´ebec’s General Election (no classes).
Monday, October 8 : Thanksgiving Day (no classes).
Tuesday, December 4 : The normal schedule will be replaced by a Monday schedule.
Course Overview
Vector Geometry, Systems of Linear Equations, Reduced Echelon Form, Matrix Algebra, Sub-
spaces of Rn, Linear Transformations, Determinants, Eigenvalues, Eigenvectors and Diagonali-
Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
Not open to students who have taken or are taking MATH 123, MATH 130 or MATH 131,
except by permission of the Department of Mathematics and Statistics.
Not open to students who are taking or have taken MATH 134.
W. K. Nicholson, Linear Algebra with Applications, Open Edition. Lyryx Learning Inc. Base
Textbook, Version 2018, Revision B.
Available online for free at :
The marking scheme for this course consists of the following three components.
- WebWork (15 %) : These are web-based assignments graded by the computer.
- Quizzes (15 %) : There will be three quizzes scheduled during the tutorial of the following
weeks :
Quiz 1 : Between September 24 and September 28.
Quiz 2 : Between October 22 and October 26.
Quiz 3 : Between November 12 and November 16.
- Final Exam (70 %) : The precise date of the Final Exam will be announced later.
In case of a failed Final Exam, you may be admissible for a supplemental exam in March 2019.
Exercise Sheets
Weekly problem sets will be posted on myCourses and their solutions will be covered during
the tutorials. You are strongly encouraged to attempt all of the problems by yourself before
showing up to the tutorial, as no one shall pass a university level math course without working
through a significant amount of exercises !
Need Help ?
The course has weekly tutorials, which you are already signed up for. You are expected to
The Departmental Helpdesk, located in BURN 911, is also available to you, as well as FrezCa,
located on the 5th floor of the Schulich Library.
All instructors and TAs shall post some office hours on myCourses. You are strongly encouraged
to visit them during those time slots for any question regarding the course material. If your
instructor or TA’s schedule does not match yours, you may go and see any other instructor/TA.
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.
McGill University values academic integrity. Therefore all students must understand the meaning
and consequences of cheating, plagiarism and other academic offenses under the code of student
conduct and disciplinary procedures (see for more information).
No calculators or smarter devices will be allowed during the quizzes or the Final Exam.
You must attend the quiz of the tutorial section that you were assigned to, unless a spe-
cial written arrangement has been concluded with your instructor, for reasons he/she judges
appropriate. Otherwise you will be reputed as having missed the quiz and will get mark of 0.
Absences to the Final Exam will be handled directly by your faculty, and your instructor has
no influence over them.
In the event of extraordinary circumstances beyond the University’s control, the content and/or
evaluation scheme in this course is subject to change.

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