Trent University, Winter 2010
Mathematics 2350H - Linear algebra II: Vector spaces
(Formerly Mathematics 2350H.)

Prerequisite: 60% or higher in MATH 1350H Linear algebra I: Matrix algebra or MATH 135H, or equivalent. (Anyone without the prerequisite who wants to take MATH 2350H should contact the instructor.) Excludes MATH 235H.


Instructor | Text | Meetings | Marking | Content | Honour | Aids | Help! | Other sources | Handouts & Work


Final Exam and Final Solutions


Exam Period Office Hours
Monday, 12 April, 10:00-12:00,
Friday, 16 April, 10:00-12:00,
Monday, 19 April, 10:00-13:00,
all in GCS 337.
Pre-Exam Study Tea
Wednesday, 14 April,
10:00-14:00,
in GCS 338.
MATH 2350H Final Exam
Tuesday, 20 April,
09:00-12:00,
in FPLH 117.

Instructor

Stefan Bilaniuk
office: GCS 337
hours: Monday, Wednesday, and Thursday 13:00-13:50, and Friday 12:00-12:50, or by appointment, or just drop by...
phone: 705 748-1011 x7474
home phone: 705 742-7862 (Do not call between 10 p.m. and 8 a.m. unless it's an emergency.)
e-mail: sbilaniuk{at}trentu{dot}ca
web: http://www.trentu.ca/mathematics/sb/

Text

Linear Algebra: A Modern Introduction (Second Edition), by David Poole
Thompson Brooks/Cole, 2006, ISBN 0-534-99845-3

Meetings

Lectures: Wednesday 14:00-14:50 in SC 103, Thursday 12:00-12:50 in GCS 115, and Friday 14:00-14:50 13:00-13:50 in SC 103.
Seminars: Monday 15:00-15:50 in OCA 128 and Monday 16:00-16:50 in OCA 128.

Marking Scheme

There will be ten eleven weekly quizzes, ten or eleven weekly assignments, a test, and a final examination. Quizzes will normally be written weekly in the Thursday lectures and last between ten and twenty minutes apiece. The assignments will usually be handed out and collected every week in the Friday lectures. The test will last fifty minutes and will probably be written during the lecture period on Thursday, 4 March. The final examination will last three hours and will be written during the examination period in December. These will weigh as follows in the final mark:

Best 8 quizzes (3% each)   24%
Best 8 assignments (3% each)   24%
Test   15%
Final Examination   37%

Students who miss the test or more than one quiz for reasons beyond their control should contact the instructor as soon as possible to arrange to write a make-up. Students unable to hand in the assignments in time for reasons beyond their control should contact the instructor as soon as possible. Note that there is no attendance requirement per se, but the consequences of missing classes are ultimately the student's responsibility to deal with.

This scheme may be modified for individual students in exceptional circumstances, such as a lengthy absence due to illness. Any such modification will require the agreement of both the student and the instructor.

Please note that this year's Reading Week will come after only five weeks of classes, in the week of 15 February, and that the final date to withdraw from the course without academic penalty is Friday, 12 March.

Content

We will cover as many of the following topics as we can:

  1. Vector spaces and subspaces
  2. Bases and dimension, orthogonality
  3. Linear transformations, matrices, diagonalization
  4. Inner products, norms, quadratic forms, least squares approximation
  5. Singular value decomposition
Additional material, including applications not given in the text, may be covered on assignments and in tutorials. (We will not attempt to cover all of the applications that the text describes.) Please note that the subtext to the course is acquiring some familiarity and comfort with proofs and abstraction.

Honour

The obligatory statement concerning academic integrity reads as follows:

Academic dishonesty, which includes plagiarism and cheating, is an extremely serious academic offence and carries penalties varying from a 0 grade on an assignment to expulsion from the University. Definitions, penalties, and procedures for dealing with plagiarism and cheating are set out in Trent University's Academic Integrity Policy. You have a responsibility to educate yourself - unfamiliarity with the policy is not an excuse. You are strongly encouraged to visit Trent's Academic Integrity website to learn more - www.trentu.ca/academicintegrity .

For clarity, the following guidelines will apply in MATH 2350H:

You are permitted and encouraged to study together and to work together on the assignments, consult any books or other sources you wish, and ask anyone willing (especially the instructor!) for hints, suggestions, and help. However, you must write up all work submitted for credit entirely by yourself, giving due credit to all relevant sources of help and information. No aid may be given or received on the quizzes, test, and final exam, except with the intructor's permission.

Aids

SYou may use whatever calculators you wish. Symbolic computation software such as Maple or Mathematica may also come in handy when doing some of the assignments or to check your answers when studying. On the quizzes, test, and final exam you may bring a calculator and an 8.5" x 11" aid sheet, with whatever you want on written on both sides of it.

Note that "personal response systems" such as clickers will not be used in MATH 2350H.

Help!

Subject to the conditions mentioned above, you can get help from a number of different sources, especially from each other and from the instructor. Other possibilities include:

In some circumstances you may also be eligible for special help or accommodation. The obligatory statement concerning access to instruction reads as follows:

It is Trent University's intent to create an inclusive learning environment. If a student has a disability and/or health consideration and feels that he/she may need accommodations to succeed in this course, the student should contact the Disability Services Office (Bata Library Suite 109, 705 748-1281, disabilityservices{at}trentu{dot}ca) as soon as possible. Complete text can be found under Access to Instruction in the Academic Calendar.


Other sources

There is fair bit of material available online about linear algebra; a brief selection follows:

Some linear algebra notes and texts available online

Some other linear algebra references and resources online


Handouts & Work

Mostly in pdf format:

Stuff from previous years to practice on...


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Maintained by Stefan Bilaniuk. Last updated 2010.04.20.