Welcome
to the Course Page of
MATH 2022 3.00 M Linear Algebra II Summer 2011 

Department of Mathematics and Statistics 

August 14:  Please click here to see your final exam mark and unofficial letter grade 
for the course. Also, please note that your official grade will be sent to you  
by the Registrar's Office upon the approval by the Senate.  
HAVE A WONDERFUL SUMMER!  
July 29:  As it was announced in the class yesterday, the Final Examination will 
take place on Wednesday, August 03 from 19:00 to 22:00 in SLH B.  
On the exam you will be responsible for all material covered in this course  
according to the Course Schedule. No calculator or other aid is permitted  
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 this web page by August 20.  
July 27:  Please note that the graded Test #2 papers will be returned in the class on 
Thursday, July 28. I am making avaialable solutions to the test questions.  
July 26:  Practice exercises for Chapters 8 and 9: 
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  
9.1: # 1, 4, 5, 10.  
July 19:  As it was announced in the class today, we will write Test #2 during the 
lecture period from 18:00 to 19:20 on Thursday, July 21. On the test you  
will be responsible for all the material covered in class from Sections 5.6,  
6.1  6.4 and 7.1  7.2 of the textbook.  
July 18:  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 14:  Please note that the graded Test #1 papers will be returned in the class on 
Thursday, July 14. I am making avaialable solutions to the test questions.  
July 12:  Please note that Course Evaluations are available online at the URL link 
http://courseevaluations.yorku.ca until Friday, July 29. It is the time for you  
to be the judge. Please go online and complete the course evaluation.  
July 10:  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 01:  As it was announced in the class yesterday, we will write Test #1 during the 
lecture period from 18:00 to 19:20 on Tuesday, July 05. On the test you will  
be responsible for all the material covered in class from Sections 5.1  5.5 of  
the textbook.  
June 25:  I am making available Errata Corrections to the 6th Edition of the textbook. 
June 20:  Welcome back! 
To view and/or print PDF files you need to download the Acrobat Reader  
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  
5.6: # 1, 2, 4, 14.  
Please note that Tutorials for the course will be done in MathLab, S525 Ross  
Building, which is open throughout the term: MondayThursday from 4:20 to  
5:50 P.M., also Mondays 10.3012:00 P.M. and Thursdays 1:303:00 P.M.  
For more information on the MathLab please check the web page at:  
http://www1.math.yorku.ca/new/content/mathlab 
MATH 2022:  Session:  Summer 2011 
Section:  M  
Lectures:  MW 6:009:00 P.M., CLH J  
Instructor:  Name:  Iulduz Raguimov 
Office:  S512 Ross  
Phone:  4167362100, EXT 66092 or 4167365250  
Office Hours:  W 4:305:30 P.M., R 4:005:00 P.M., also by appointment  
Email:  raguimov@mathstat.yorku.ca  
Grading:  Two Tests:  30% each 
Final Examination:  40% 
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, Sixth Edition 
by W. Keith Nicholson  
McGrawHill Ryerson, ISBN 0070985103  
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 20: Classes commence. 
June 24: The last date to enrol in the course without my permission.  
July 02: The last date to enrol in the course with my permission.  
July 05: Test #1  
July 15: The last date to drop the course without receiving a final grade.  
July 21: Test #2  
July 29: The last day of classes.  
August 0212: Examination period. 
(subject to any changes announced in class)
WEEK of: 
SECTIONS 
COMMENTS 
June 20  Introduction, 5.15.3  Classes begin on Tuesday, July 21. 
June 27  5.45.6  
July 04  6.16.2, Test #1  Test #1 will take place on Tuesday, July 05. 
July 11  6.36.4, 7.1  
July 18  7.27.3, Test #2  Test #2 will take place on Thursday, July 21. 
July 25  9.1, 8.18.3, Review  The classes end on Thursday, July 28. 
August 0212  Final Examination  TBA 
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 other electronic
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% each (Tentative
dates for the tests: Tuesday, July
05 and Thursday, July 21). Final Examination:
40% of the overall grade, will take place
during the examination period between August 02 and 12, 2011.
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 make up 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
06 is NOT a legitimate excuse for absence from a
final exam on August 09.
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
Study Groups
2 York
Undergraduate Mathematics Program
3 Links to Linear
Algebra sites
4 How To
Write Proofs
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 20042011, All Rights Reserved, York University & Iouldouz S. Raguimov
Last updated August 14, 2011