Mathematics 2R03: Linear Algebra II
(Fall, 2008)

Course Information

Course Objectives: The course follows Math1B03 (Linear Algebra I) with more advanced material of university linear algebra. The students will learn abstract vector spaces, linear transformations, invariant subspaces, canonical blocks, and orthogonal diagonalizations with applications to polynomials, differential equations and Fourier series.

Topics: Vector spaces, Linear transformations, Change of basis, Inner product spaces, and Orthogonality.

Dmitry Pelinovsky, HH-422, ext.23424, e-mail:
Lectures: Tuesday, Thursday, Friday (11:30-12:20); BSB/B135
Office hours: Tuesday, Thursday (10:30-11:20); HH-422

Teaching Assistant:
Laurel Miller-Sims, HH-401, ext.27357, e-mail:
Tutorials: Monday (16:30-17:20), CNH-B107
Office hours: Thursday (2:00-4:00); behind Math Cafe

"Linear Algebra with Applications", 5th edition by W.K. Nicholson (McGraw-Hill Ryerson, 2006), ISBN 0-07-092277-2

Optional Textbook (used in Math2T03):
"Numerical Mathematics" by M. Grasselli and D. Pelinovsky (Jones and Barlett, 2008), ISBN 0763737674

Lyryx Interactive Linear Algebra is accessible at
To register, click on "Registration", then on "Student Form", fill in the required information, then click on "Next". If you have the bundled version of the textbook with the ISBN number above, the access code is provided from your book as the "PIN Code".

Lectures and Tutorials: There will be three lectures and one tutorial per week. The lectures will be used to present new material. The tutorial is devoted to solving recommended problems and reviewing material for assignments and midterms. Answers to recommended problems are also given in the textbook. The lecture and tutorial times can be interchanged in exceptional cases, which will be anounced in class and on webpage.

Assignments: Four LILA assignments will be posted on the course webpage as soon as the material for the corresponding sections of the textbook is covered. Assignments must be completed and submitted online. They will be automatically graded. Before the deadline expires, you may redo these assignments as many times as you wish; only your last submission before the deadline will be counted. You may use computer simulations (by Lyryx, Matlab or programmable calculator) to generate answers to online assignments. You may print out an assignment and ask your instructor, TA, or another student for help on how to do the problems. You may not, however, input the solution obtained by other students for your own problems.

Projects: Two projects will be posted on the course webpage at least one week before due date. Projects are devoted to applications of linear algebra. The completed projects are to be handed in to the homework lockers on the first floor of Hamilton Hall by 3pm on the due date. Solutions to projects and results will be posted on the course webpage. You may discuss problems of the projects with each other, but we expect you to write up the answers by yourself. You may not copy another student's solution.

Mid-Term Tests: There will be two mid-term tests on Fridays: October 3 and November 7 during regular lecture hours. Only the McMaster standard calculator Casio fx-991 is allowed on the tests. You must bring your student ID to the test room. Solutions to tests will not be posted on the course webpage. Tests will involve both theory and examples, but will not include proofs of theorems.

Final Exam: The course is completed by a three-hour final examination. The date and location of the final exam will be announced by the registrar's office before the end of term.

Marking scheme:
Final exam - 40%; Mid-term tests - 40%; Projects - 10%; Assignments - 10%

Senate Policy Statement: The course is regulated under the following documents: Statement on Academic Ethics and Senate Resolutions on Academic Dishonesty. Any student who infringes one of these resolutions will be treated according to the published policy. In particular, academic dishonesty includes (1) plagiarism, e.g. the submission of work that is not one's own, (2) improper collaboration in group work on home assignments, (3) copying or using unauthorized aids tests and examinations. It is your responsibility to understand what constitutes academic dishonesty, refering to Academic Integrity Policy.

Additional information: Late assignments and projects will not be marked. No make-up tests will be scheduled. Exemptions from the tests and assignments for valid reasons are possible, but must be requested through the office of the Associate Dean of the Faculty you are registered with. In the event of an exemption, your course grade will be re-weighted by increasing the weight of the final examination to compensate for the missed test or assignment.