Instructor: Mr. Li,
Jun
Contact: office: 2250 HP (Herzberg Physics); phone: 5202600 ext.1731;
email: jli@math.carleton.ca; http://www.math.carleton.ca/~jli
Office Hours: Tuesdays 14:30  15:30 and Thursdays 14:30  15:30, or
send me email to schedule an appointment.
Textbook:
by David Poole, Linear Algebra: a Modern
Introduction, Thomson
(Brooks/Cole).
Prerequisites
Ontario Grade 12 mathematics: Geometry and
Discrete Mathematics; or an OAC in Algebra and Geometry, or MATH
0107 or equivalent.
Note: students who do not have the
appropriate prerequisite may be automatically deregistered from the
course during the semester.
Lectures: Tuesdays
7:309:30 pm and Thursdays 7:308:30 pm in room 4499 ME (Mackenzie Building)
(First Class: Thursday January 4, 2007; Last Class: Tuesday April 3, 2007).
Tutorials: begin on January 11, and then every Thursday, 8:30  9:30pm.
On the tutorial sessions the students are expected to work in small
groups or individually on specific problems. A Teaching Assistant (TA)
will be present, to answer questions and to administer the tests. The class is divided according to the
students' last names into the following tutorial groups:
Family Name 
Tutorial No. 
Tutorial Room 
TA's Name (last then first) 
email address 
A  Z 
Tut1 
4499ME 
Jun Liu 
jliug@connect.carleton.ca 





Note: This subdivision
overrides the one on registration and is done to simplify the bookkeeping. All
students are strictly encouraged to attend the group they are assigned to, due
to the extreme shortage of sitting places in the classrooms. For those who violate
this rule, the tutorial work will be counted as zero.
Evaluation
Your final grade for the course will consist of
(1) Term Mark 40%;
(2) Final Examination 60%.
Term Mark
There will be four 50minute tests held in the regular tutorial hours on January
18, February 8, March 1 and March 22. Students are expected to take
all 4 tests. The best 3 of the 4 will be counted to accommodate for some
unforeseen circumstances, such as sicknesses, family gatherings, religious
holidays etc. There are no makeup tests. In case when a student misses
more than one test due to illness
(supported by a doctor note), jury duty or extreme personal misfortune, the
term mark may be prorated. Please see me should such a case arise. It is your
responsibility to pick up your marked test in the following tutorial
hour.
Note: Term Mark 40% = The average of best three tests out of
four tests will be counted as 30% + Your Tutorial work during the term will be
counted as 10%.
Final Examination
This is a 3 hour exam scheduled by the University. The exam is taking place
during the period of April 9  29, 2007. It is each student responsibility
to be available at the time of the examination. In particular, no travel plans
should be made until the examination schedule is published. It is each student
responsibility to find out the
correct date and time of the exam and the room where it takes place. After the
exam is written, the students are allowed to see their exam papers until May
15. This examination review is for the educational purpose only and NOT for
negotiation of the grade with the instructor. Please remember that we do not
change grades on the basis of your needs (such as scholarships,
etc.).
Note: you must obtain at least 50% of total and at least 40% of the final exam mark to pass the course. Students who do not present sufficient term work (tests average above 12 points out of 40) and are absent on the final examination will be assigned the grade of FND – “F ail No Deferral”. This means that the student is not eligible to write a deferred examination.
Calculators
ONLY non programmable calculators are allowed for tests and for the final
exam. Any programmable calculator will be confiscated for the duration of
a test or the exam. I reserve the right to disallow any calculator.
Homework
Selected exercises, mainly from the text, will be posted on my web site.
These exercises are not to be handed in and will not be graded. However,
to succeed in the course it is absolutely essential that you do the
exercises on a regular basis.
Withdrawal
The last day for withdrawal from the course is March 9, Friday.
The Tutorial Centre (1160
HP, in the tunnel)
This is a dropin centre providing a onetoone tutorial service for Qyear and
first year students on a
"first come first serve" basis. It is open starting January 22, at
the following hours:
Monday to Thursday: 10:00  16:00.
Students with disabilities requiring academic accommodations in this course are encouraged to contact the Paul Menton Centre (500 University Centre, phone 5206608) to complete the necessary forms. After registering with the Centre, make an appointment to meet with me in order discuss your needs at least two weeks before the first inclass test. This will allow for sufficient time to process your request. Please note the following deadline for submitting completed forms to the Centre for formally scheduled exam accommodations: March 9.
Course Outline
WEEK 
DATES 
Tutorials and Tests 
Textbook 
TOPICS 
1 
Jan 3 5 
~ 
1.1  1.3 
Review of Vectors. 
2 
Jan 8  12 
Tutorial 
2.1, 2.2 
Systems of Linear Equations. Direct Methods for Solving Linear Systems. 
3 
Jan 1519 
Test 1 
2.3, 2.4 
Spanning Sets and Linear Independence. Allocation of Resources, Balancing Chemical Equations. 
4 
Jan 22 26 
Tutorial 
3.1, 3.2 
Matrix Operations. Matrix Algebra. 
5 
Jan 29  Feb 2 
Tutorial 
3.3 
The Inverse of a Matrix. 
6 
Feb 5 9 
Test 2 
3.4 
Subspaces, Basis, Dimension and Rank. 
7 
Feb 12  16 
Tutorial 
3.5,6.4 
Linear Transformations. 
~ 
Feb 19  23 
No classes 


8 
Feb26Mar2 
Test 3 
6.5 
The Kernel and Range of a Linear Transformation. 
9 
Mar 5  9 
Tutorial 
Append C, 4.1 
Complex Numbers. De Moivre's Theorem. Eigenvalues and Eigenvectors. 
10 
Mar 12  16 
Tutorial 
4.2 
Determinants. 
11 
Mar 19  23 
Test 4 
4.3, 4.4 
Diagonalization. 
12 
Mar 26  30 
Tutorial 
Review 

The above week by week
schedule is subject to a change depending on the progress of the course .