MATH 2107, Section A, Linear Algebra II, Fall 2008

Instructor: Ayse Alaca,
Herzberg Physics, Office #4348
Tel: (613) 520 2600 (Ext. 2235)
Email:aalaca@math.carleton.ca
http://www.math.carleton.ca/~aalaca/

Textbook: Linear Algebra: A modern Introduction, second edition, by David Poole
Prerequisites: (i) MATH 1104, or a grade of C- or better in MATH 1107 or MATH 1109; and (ii) a grade of C- or better in MATH 1007 or equivalent; or permission of the School. Note: in item i), MATH 1119 is NOT acceptable as a substitute for MATH 1109.

Classes: Tuesday and Thursday 8:35--9:55. Room: 301 AT
Classes begin: Thursday, September 4, 2008. Classes end: Thursday, November 27, 2008.

Tutorial:Monday 2:35--3:25 pm in the following rooms:
Section A1 A2 A3
Room 317 SA 4332 ME 318 SA
TA's e-mail kharvey attorres pmunz
Tutorial classes will start on Monday September 15, 2008. During the tutorial sessions, a TA will be present to work out selected problems, to answer questions, to collect and to return the assignments, and to administer the tests.

Office hours: Monday 1:00--2:00 pm (in my office 4348HP) or by appointment.

Term Tests: There will be four 50-minute tests during the regular tutorial hours on September 22, October 6, October 27 and November 17, 2008. The best three tests out of four tests will be counted as 30%. (There is no option of taking best two tests out of three tests) No make up, early, or delayed tests except for medical reasons (doctor's note must be presented). Otherwise, any missing test will be counted as zero.

Assignments: There will be five assignments, to be handed in to the TA during the tutorials on September 15, September 29, October 20, November 3, and November 24, 2008.

Final Examination: This is a three hour exam scheduled by the University and will take place sometime during the examination period December 4--20, 2008. It is the responsibility of each student to be available at the time of the examination. In particular, no travel plans for the examination period in December should be made until the examination schedule is published. The Final Examination will have both multiple choice questions and long answer questions.

Evaluation: Term Mark : 45% (Tests 30%, Assignments 15%), The final examination: 55%.

Notes:

  • It is your responsibility to pick up your tests/assigments in the following tutorial hours. After that TA's and I are not responsible for missing test papers.
  • Approximately 40% of each test and the final examination will consist of multiple choice questions.
  • Students who wish to review their final examination paper must do so before January 23, 2009.
  • Students whose term work is less than 23 out of 45 and are absent on the final examination will be assigned the grade of FND (Failure with no deferred final examination).
  • You are responsible for keeping up with information announced in class, or sent to your connect e-mail account.
  • According to Carleton University policy under the Freedom of Information of Privacy Act (FIPPA), please use your Carleton connect account for all course related emails.
  • You are responsible to make sure that your test/tutorial marks recorded correctly by visiting WebCT. Deadline to make any corrections on your term marks is December 3, 2008 (I need to see the test/assignments papers before I make the correction).
  • You may use only non-programmable, non-graphing calculators for the tests and the final examination in this course. I reserve the right to disallow any calculator.
  • The last day for withdrawal from the course is November 7, 2008.
  • Math Tutorial Centre, Herzberg Building, Room 1160, will be opening on Monday, September 15, 2008. Hours for the centre: Monday to Thursday 10 am to 4 pm. Evening hours to be announced.
  • Students with Disabilities who require academic accommodations please feel free to come and discuss it with me. Students must also contact the Paul Menton Centre, 500 University Centre, Tel: 520-6608, to complete required forms. Deadline for submitting completed forms to the Paul Menton Centre for formally scheduled exam accommodation is November 7, 2008 for December Examinations. You can visit the Equity Services website to view the policies and to obtain information on academic accommodation at
    http://carleton.ca/equity/accommodation

    Topics:
  • Vector spaces and subspaces (6.1)
  • Linear independence, basis and dimension (6.2)
  • Change of basis (6.3)
  • Linear transformations (6.4)
  • The kernel and range of a linear transformation (6.5)
  • The matrix of a linear transformation (6.6)
  • Applications: Homogeneous linear differential equations (6.7)

  • Review of eigenvalues and eigenvectors (4.1, 4.2, 4.3, 4.4)

  • Orthogonality, orthogonal complements and orthogonal projections (5.1, 5.2)
  • The Gram-Schmidt Process and the QR factorization (5.3)
  • Orthogonal diagonalization of symmetric matrices (5.4)
  • Applications: Quadratic forms, the principal axes Theorem(5.5)

  • Inner product spaces, norms and distance functions (7.1, 7.2)
  • Least squares approximation (7.3)
  • Singular value decomposition (7.4)

    Last modified: September 13, 2008