MATH 133(Fall, 2006): Vectors, Matrices and Geometry
September 7, 2006
- Text: David Poole, Linear Algebra, A Modern Introduction(2nd
- Contents: Geometric vectors, dot product, lines and planes, cross
product, triple scalar product (Sections 1.1, 1.2, 1.3); 6 hours. Systems of
linear equations, spanning sets and linear independence (Sections 2.0, 2.1,
2.2, 2.3); 6 hours. Matrices, matrix algebra, subspaces, basis, dimension,
rank, linear transformations, Markov chains (Sections 3.0, 3.1, 3.2, 3.3, 3.5,
3.6, 3.7); 9 hours. Eigenvalues and eigenvectors, determinants, similarity and
diagonalization, applications to dynamical systems (Sections 4.1, 4.2, 4.3,
4.4, 4.6); 9 hours. Orthogonality, orthogonal complements and orthogonal
projections, the Gram-Schmidt process, quadratic forms, least squares
approximation (Sections 5.0, 5.1, 5.2, 5.3,5.4, 5.5, 7.3); 9 hours.
- Tutorials: There is a weekly one-hour optional tutorial starting
the week of Sept 5. The tutorial instructors will answer questions and help
with problems, do additional problems and give additional motivation for the
course. It is essential that you register in one of the tutorials as written
assignments will be submitted to the tutorial instructors and returned by
them. Your assignments must have your tutorial instructors name and
tutorial section number on the front page along with your name and student
ID number, all clearly printed.
- WeBWorK assignments: These weekly assignments will be available on
the Web and will be answered on the Web. Your WebWorK assignments are at http://msr04.math.mcgill.ca/webwork/m133f06
The initial login/password is your 9 digit student number. Please change
your password the first time you log in. If you experience technical
problems with WeBWorK please contact the administrator at
email@example.com. There are eleven assignments. Missed assignments
cannot be redone. The WeBWorK assignments are worth 15% of your grade. Additional
information about WeBWorK assignments.
- Written assignments: There will be 4 written assignments
distributed via WeBWorK. They are worth 4% of your grade. These assignments
must be returned in the tutorials the week they are due or by Friday 3pm of
that week in the assignment slot at the math office on the 10th floor of
- Midterm Test: There will be a take-home mid term test distributed
via WeBWorK. It is worth 1% of your grade.
- WebCT: Your scores on assignments, tests, final, and your final
mark will be posted on WebCT.
- Final Exam: There will be a formal 3 hour final exam. It is worth
80% of your grade No calculators will be needed or allowed.
- Supplemental: There will be a supplemental exam, counting 100% of
the supplemental grade. No additional work will be accepted for D, F, or J.
- Help Desk: http://www.math.mcgill.ca/students/helpdesk.php
You are strongly encouraged to make use of this resource.
- Academic Integrity : For your success in this course it is
essential that the work that you submit in assignments and tests is your own.
Because the webwork problems are numerically different for each student you
can consult others if you are having difficulties as long as you work with a
version of the problem which is different from your own. Copying of any kind
in assignments and tests is not permitted. 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