Welcome to the Course Page of MATH 2022 3.00 M Linear Algebra II Summer 2013 

Department of Mathematics and Statistics 

This
area will contain announcements and solutions to tests. Announcements made in
class will be posted here in reverse chronological order and will not be
repeated in class. Please take a minute to read the announcements carefully, as
they often get updated. You may need to Reload/Refresh this page.
August
21: 
Please click here to see your
final exam mark and unofficial letter grade 

for the course. Also, please
note that your official grade may be sent to 

you by the Registrar's Office
upon the approval by the faculty. 

HAVE A WONDERFUL SUMMER! 
August
03: 
As it was announced in the class
on Thursday, the Final Examination for 

the course will take place on Friday, August 09 from 19:00
to 22:00 

in VH C. The exam will be comprehensive, covering
the entire course 

material according to the Course
Schedule
but with an emphasis on the 

more recent material covered after the second test. If
less common formulas 

are needed on the exam, then those will be provided
on the exam. 

There will be several questions,
some with a few parts. Marks for each 

question will be indicated. You have to show all your
work, and you 

should explain your solutions where appropriate.
Unofficial final grades 

for the course will hopefully be
posted to the course web page by 

Wednesday, August 21. Please
also note that I will be holding an 

additional office hour for last
minute questions on Tuesday, August 06 

from 14:00 to 15:00. 
July
31: 
As
it was announced in the class after the test yesterday, the graded Test
#2 

papers will hopefully be ready to pick up on
Tuesday, August 6 at 2 PM. 

I am making available solutions to
the test questions. 
July
26: 
As
it was announced in the class yesterday, we will write Test #2 during the lecture 

period from 18:00 to 19:20 on Tuesday, July 30 in S137 Ross. On the test you 

will
be responsible for the all material covered
in class from Sections 6.3, 6.4, 

7.1, 7.2, 7.3, 8.1, 8.4, 5.6 and
8.2 of the textbook. 
July
22: 
Practice
exercises for Section 5.6, Chapters 8 and 9: 

5.6: #
1, 2(a,b,c), 4, 14; 

8.1: #
1, 2, 4, 13, 14, 16; 

8.2: #
1, 5, 7, 9, 13, 14, 16, 23, 25; 

8.3: #
1, 3, 7, 9; 

8.4: #
1, 2; 

9.1: # 1, 4, 5, 10. 

Please note that the student
course evaluations are available online 

at the URL link http://courseevaluations.yorku.ca until August 05, 

2013. It
is the time for you to be the judge. Please go online and 

complete the course evaluation. 
July
16: 
Practice
exercises for Chapter 7: 

7.1: # 1, 2, 3, 4,
11, 14, 15; 

7.2: # 1, 2, 6, 8, 9,
10, 24, 28, 30; 

7.3: # 1, 4, 6, 10,
23. 
July
11: 
As
it was announced after the test today, the
graded Test #1 papers will
hopefully 

be returned in the class on Thursday, July 18. I am
making available solutions to 

the test questions. 
July
09: 
As
it was announced in the class today, we will write Test #1 during the lecture 

period from 18:00 to 19:20 on Thursday, July 11 in S137 Ross. On the test you 

will
be responsible for all the material covered in
class from Sections 5.1, 5.2, 

5.3, 5.4, 5.5, 6.1, 6.2 and 6.3
of the textbook.
Please note that no more than 25% 

of the questions of the test will be from Sections 6.1, 6.2
and 6.3 of the textbook. 

Also, please note that NO calculators,
internet connected devises or any other aids 

will be permitted on the test. 
July
07: 
Practice
exercises for Chapter 6: 

6.1: # 1, 2, 4, 6, 12, 14; 

6.2: # 1, 2, 3, 5, 6, 8, 9, 13, 21, 27; 

6.3: # 1, 2, 3, 4, 10, 12, 15, 23, 27, 32, 33; 

6.4: # 1, 3, 7, 18, 23, 25, 26. 
July
04: 
According to the clarification
that I received from the department yesterday, 

we will be using the 6^{th
}Edition of the textbook this term. The 7^{th} Edition of 

the textbook will be used starting from Session 20132014. I
apologise for the 

inconvenience caused by this. 
June
25: 
I am making available Errata corrections
to the 6th Edition of the textbook. 
June
24: 
Welcome back! 

Practice
exercises for Chapter 5: 

5.1: #
1, 2, 3, 5, 6, 12, 15, 16, 18, 23, 24; 

5.2: #
1, 4, 6, 7, 9, 18, 19, 20; 

5.3: #
4, 5, 6, 7, 13, 15, 18; 

5.4: #
1, 2, 3, 7, 11, 12, 14, 15; 

5.5: #
1, 2, 4, 5, 9, 16. 

Please
note that Tutorials for the course will be done in MathLab,
S525 Ross 

Building,
which is open throughout the term: MondayThursday from 11:00 to 

13:00
and from 15:00 to 17:00. 
MATH
2022: 
Session: 
Summer
2013 

Section: 
M 

Lectures: 
TR
18:0021:00, S203 Ross 
Instructor: 
Name: 
Iulduz Raguimov 

Office: 
S512
Ross 

Phone: 
4167362100,
EXT 66092 or 4167365250 

Office
Hours: 
MR
16:0017:00, also by appointment 

Email: 

Grading: 
Two
Tests: 
30+20% 

Final
Examination: 
50%

Course Description: This course is required in Specialized Honours Statistics and all Applied Mathematics, Mathematics and Mathematics for Commerce programs except the BA program in Mathematics for Commerce. Topics include inner product spaces, linear transformations, orthogonality, eigenvalues, diagonalization, least squares and quadratic forms. Similar to AS/SC/AK/MATH 2222 3.00 but at a more advanced level. Additional topics: General linear transformations, matrix of a linear transformation from V to W relative to bases for V and W, effect of a change of bases. For a more detailed list of topics with references to the textbook, please see Course Schedule.
Textbook: 
Linear Algebra with Applications, Seventh Edition 
by
W. Keith Nicholson 

McGrawHill
Ryerson, 2013. ISBN 0070401099 



Course
Prerequisites: 
AK/AS/SC/MATH
1021 3.00 or AS/SC/MATH 2021 3.00. 

If
you have not taken MATH 1021 3.00, it is essential that you take it
first and then take 
MATH
2022. 

Course
Credit 

Exclusion: 
AS/SC/AK/MATH
2222 3.00. 


Important
Dates: 
June
25: Classes
commence. 
June
28: The
last date to enrol in the course without my permission. 

July
05: The
last date to enrol in the course with my permission. 


July
11: Test
#1 
July
19: The
last date to drop the course without receiving a final grade. 


July
30: Test
#2 

August
01: The
last day of classes. 
August
0616: Examination
period. 
(subject to any changes announced in class)
WEEK of: 
SECTIONS 
COMMENTS 
June
24 
Introduction,
5.1, 5.2 
Classes
begin on Tuesday, June 25. 
July
01 
5.4,
5.5, 5.3 

July
08 
6.16.3,
Test #1 
Test
#1 will take place on Thursday, July 11. 
July
15 
6.4,
7.17.3 

July
22 
8.1,
8.4, 5.6, 8.2 

July
29 
Test
#2, 8.3, 9.1, 8.8 
Test
#2 will take place on Tuesday, July 30. 
August
0616 
Final
Examination 
Friday,
August 09. 
Note: The course will not cover all the sections of each chapter from the textbook.
Throughout the term, practice exercises will be posted to the Announcements section. In order to develop your understanding of the course material you must do all assigned problems. These will not be collected for grading and hence will not directly affect your grade. However, it is extremely important that you complete all assigned exercises. Do not memorize them. Rather, learn how to solve problems like them. Learning Mathematics is not a spectacular sport, it is a participatory event. There is nothing like a bit of computation to strengthen understanding in mathematics! Use the Solutions Manual only after you have tried the problem. Successful students must keep up with homework and seek help for points they do not understand as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the textbook before every class. Next to the classes, working out the answers to the problems is the most important preparation for the tests and exam that will contain for the most part but not exclusively, questions very similar to those from the textbook. It is quite practical to work on your own or together in small groups. Each student should do at least two hours of independent study for every lecture hour. The amount you learn in this course and the grade you receive will be proportional to the amount of time you spend working on problems.
Please turn off all cell phones and pagers before entering
the lecture hall. For tests and exam cell phones, calculators, digital
dictionaries, palms, pagers or any other internet connected devices are NOT
allowed. All such devices as well as all books, papers, knapsacks, and
briefcases must be left at the front of the lecture hall. Anyone caught with
electronic devices will be charged with Academic Dishonesty (see the next
page). The only items you may have at your seat are pens, pencils, student ID
and purses. You are responsible for all material covered in lectures.
Note: Photo identification and signingin are required at all
tests and exam.
The official grades at York University are LETTER
grades. Qualitative descriptions of these grades can be found
in the York Calendar at this link. Your test marks will be on a numerical
scale because these have to be weighted and averaged in various ways, but THERE IS NO AUTOMATIC
PREDETERMINED CORRELATION BETWEEN NUMERICAL GRADES AND LETTER GRADES in this course. In particular, the
"numerical" grades you
receive are NOT to be interpreted as percentages; they are merely 'raw scores'. When the tests are returned in class, the distribution of 'raw scores' will be announced along with an approximate
conversion to letter grades. The median
letter grade for the course will
likely fall between C and C+.
The composition of the final grade is as follows:
Two Tests (80 minutes each written tests held in lecture periods) :30% + 20% (Tentative dates for the
tests: Thursday, July 11 and Tuesday, July 30). Final Examination: 50% of the overall grade,
will take place during the examination period between August 06 and 16, 2013.
Note: Students have five days from the date of the return of test
papers to appeal their marks. Some test papers (randomly selected) are
photocopied before they are handed back, so we can detect subsequent
alterations. Once you have written both tests and your final exam grade
is higher than your average test grade, your final exam will be counted as 60%
and each test as 20% of your overall grade for the course.
Makeup Policy:
No permission will be given to a student to write tests in
advance of their scheduled dates. No makeup will be done for the tests. A
missed test will be counted as zero, except under extreme
circumstances in which case the corresponding percentage of the overall grade
will be "forwarded" to the final exam. If you miss a termtest for medical reasons you must turn in
within one week following the test date the Attending Physician's
Statement form provided here
after getting it filled in by your doctor. No other type of medical note
will be accepted. However, missing tests is extremely dangerous
and not recommended. As experience has shown, students who miss class tests
because of some 'mysterious illnesses' will usually average 30% on the final
exam. A student who misses the final examination will be allowed to write a
makeup exam only if both of the following conditions are met:
1) the student notifies me (raguimov@mathstat.yorku.ca)
or the Department of Mathematics and Statistics (Undergraduate Office, N502/503
Ross Building, 4167362100, Ext. 55902 or 33969) in advance that the
exam will be missed;
2) the student submits within one
week following the exam date the Attending Physician's Statement form
provided here
after getting it filled in by his/her doctor .
Students who miss the final examination and do not meet both conditions will
receive a grade of F. It is student's responsibility to fill out and submit the
Deferred Standing Agreement Form.
Note: Do not make vacation/job plan until the final exam date is
known: having a plane ticket to Banff or Hawaii for August 10
is NOT a legitimate excuse for absence from a final exam on August 14.
Religious Observance:
York University is committed to respecting the religious beliefs and practices of all members of the community and making accommodations for observances of special significance to adherents. If any of the dates specified in the course schedule for inclass tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) by June 28. Please note that if the final exam date poses a conflict, students must complete the Final Exam Accommodation Form, which can be obtained from the Registrar’s Office
Academic Honesty:
Students are responsible for familiarizing themselves with University Policies and Regulations. Conduct that violates the ethical or legal standards of the university community or of one’s programme or specialization may result in serious consequences. Refer to the Senate Policy on Academic Honesty. Photo identification and signingin are required at all tests and exam. Also, some test papers (randomly selected) will be photocopied before they are returned so that subsequent alterations can be detected.
Individual questions can be discussed by email, or in person after class, or during office hours. Please send all email notes as plain text within the body of the message. Do not send attachments nor HTMLformatted mail. Also, if the name of your account is an alias, I will not know who the mail is from unless you sign it; it also risks being accidentally discarded as junk mail. The course web page will be updated regularly to include important announcements made in class, such as the material to be covered on the tests. Email notes requesting such information contained on the web page will be answered the last.
1 Online Forum
2 York
Undergraduate Mathematics Program
3 Links
to Linear Algebra sites
4 How
To Write Proofs
5 Local time in Toronto
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 20042013, All Rights Reserved, York University & Iouldouz S. Raguimov
Last updated August 21, 2013