Welcome
to the Course Page of
AK/MATH 2022 3.0 A Linear Algebra II Summer 2005 

School of Analytic Studies and Information Technology 

August 25:  Please click here to see your final exam mark and unofficial letter grade 
for the course.  
Please note that Deferred Final Examination will take place on Friday,  
September 09 from 13:30 to 16:30 in TEL 0011.  
August 05:  I am making available solutions to Test #3 in PDF format. You may pick up 
your test paper from the box outside of my office (S512 Ross).  
Please click to check your term grades. Please note that Test #3 grades were  
curved up for 2 points. If you find any discrepancy, please send me an email  
and come to see me before the final examination with your test papers.  
July 26:  Please note that we will write Test #3 on Thursday, July 28 from 6:00 to 7:00pm 
in VH D. On the test you will be responsible for the material covered in class  
from Sections 7.2, 7.3, 7.4, 7.7, 7.8, 8.1 and 8.2 of the textbook.  
July 25:  I will bring the course evaluation forms to the class on Tuesday, July 26th. 
It is the time for you to be the judge. Please come and fill out the evaluation  
forms.  
July 22:  Please note that Test #2 papers were returned in the class on Thursday. 
If you did not pick up your test paper, you may pick it up together with the  
solutions to the test questions during office hours.  
July 12:  Please note that we will write Test #2 on Thursday, July 14 from 6:00 to 7:00pm 
in CLH C. On the test you will be responsible for the material covered in class  
from Sections 6.1, 6.2, 6.3, 6.4 and 7.1 of the textbook.  
July 11:  Please note that Test #1 papers will be returned during the class on Tuesday, 
July 11. I am making available solutions to the test questions in PDF format.  
June 29:  Please note that we will write Test #1 on Tuesday, July 05 from 6:00 to 7:00pm 
in CLH K. On the test you will be responsible for the material covered in class  
from Sections 5.1, 5.2, 5.3 and 5.4 of the textbook.  
June 27:  Please note that effective Tuesday, June 28 the lecture and tutorial room will 
be changed to the room S171 Ross.  
June 21:  Welcome back! 
To view and/or print PDF files you need to download the Acrobat Reader 
Course:  Session:  2005 Summer 
Section:  A  
Lectures:  TR 6:009:00pm, S171 Ross  
Instructor:  Name:  Iulduz Raguimov 
Office:  S512 Ross  
Phone:  4167365250, Ext.66092  
Office Hours:  MW 5:306:30pm, R 4:005:00pm, also by appointment  
Email:  raguimov@mathstat.yorku.ca  
Tutorials:  TR 5:006:00pm, S171 Ross  
Tutorial Leader:  Name:  Ziting Zeng 
Email:  ziting@mathstat.yorku.ca  
Grading:  Three Class Tests  20% 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, eigenvalues, diagonalization, least squares, quadratic forms and Markov chains. Similar to AS/SC/AK/MATH 2222 3.0 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, Fourth Edition 
by W. Keith Nicholson  
McGrawHill Ryerson, 2003. ISBN 0070880468  
Course Prerequisites:  AK/AS/SC/MATH 1021 3.0 or AS/SC/MATH 2021 3.0 or permission of the instructor. 
If you have not taken MATH 1021, it is essential that you take it first and then take  
MATH 2022.  
Degreecredit  AS/SC/AK/MATH 2222 3.0. 
Exclusions:  
Important Dates:  June 21: Classes commence. 
June 30: The last date to enrol in the course without my permission.  
July 01: Canada Day (The University is closed).  
July 08: The last date to enrol in the course with my permission.  
July 15: The last date to drop the course without receiving a final grade.  
July 28: The last day of classes.  
August 01: Civic Holiday (The University is closed).  
August 0212: Examination period. 
(subject to any changes announced in class)
WEEK 
SECTIONS 
COMMENTS 
June 2024  Introduction, 5.1, 5.2, 5.3  Classes begin on Tuesday, June 21. 
June 27July 01  5.4, 6.1, 6.2, 6.3  Tutorials begin on Tuesday, June 28. 
July 0408  6.4, 7.1, 7.2, Test #1  Test #1 will take place on Tuesday, July 05. 
July 1115  7.3, 7.4, 7.7, Test #2  Test #2 will take place on Thursday, July 14. 
July 1822  7.8, 8.1, 8.2, 8.3  
July 2529  8.4, 8.5, 9.1, Test #3  Test #3 will take place on Thursday, July 28. The classes end on Thursday, July 28. 
August 0212  Final Examination  Thursday, August 11 from 19:00 to 22:00 in CLH G. 
Note: The course will not cover all the sections of each chapter from the textbook.
Chapter 5:  Section 5.1  Exercises: 1, 2, 3, 5, 7, 8, 15, 17, 24, 29 
Section 5.2  Exercises: 1, 2 , 3, 7, 13, 16  
Section 5.3  Exercises: 1, 2, 4, 5, 9, 16  
Section 5.4  Exercises: 1, 2, 4, 9, 11, 14, 23  
Suppl. Exerc.  Exercise: 1  
Chapter 6:  Section 6.1  Exercises: 1, 2, 4, 6, 12, 14 
Section 6.2  Exercises: 1, 2, 3, 5, 6, 8, 9, 13, 21, 27  
Section 6.3  Exercises: 1, 2, 3, 4, 10, 12, 15, 18, 21, 23, 37  
Section 6.4  Exercises: 1, 3, 7, 17, 20, 22, 23  
Suppl. Exerc.  Exercise: 2  
Chapter 7:  Section 7.1  Exercises: 4, 5, 8, 9, 11, 14, 16, 28, 30 
Section 7.2  Exercises: 1, 5, 7, 9, 13, 15, 16, 22, 24  
Section 7.3  Exercises: 1, 3, 7, 9  
Section 7.4  Exercise: 1  
Section 7.7  Exercises: 1, 2, 3, 7  
Section 7.8  Exercises: 1, 2, 7  
Chapter 8:  Section 8.1  Exercises: 1, 2, 3, 4, 11, 14, 15 
Section 8.2  Exercises: 1, 2, 6, 8, 9, 10, 24  
Section 8.3  Exercises: 1, 4, 6, 10, 23  
Section 8.4  Exercises: 1, 4, 5, 10  
Section 8.5  Exercises: 1, 3, 6, 8, 9, 10, 13  
Chapter 9:  Section 9.1  Exercises: 1, 3, 4, 5, 10, 12, 13, 16, 22, 32 
Section 9.2  Exercises: 1, 2, 3, 6, 7, 10, 12, 21, 22  
Section 9.3  Exercises: 1, 2, 5  
Section 9.4  Exercises: 2, 3, 6, 8, 11, 14, 15  
Section 9.5  Exercises: 1, 4 
The homework assignments are posted but solutions will not be collected for grading. While these will not directly affect your grade, it is extremely important that you complete all of the assigned homework. There is nothing like a bit of computation to strengthen understanding in mathematics! 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 exercises (the back of the textbook contains the answers to the most of them) is the most important preparation for the tests and exam that will contain for the most part but not exclusively, very similar questions. 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 the exercises.
Please turn off all cell phones and
pagers before entering the lecture hall. For tests and
exam cell phones, 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 composition of the final grade is as follows:
Three Class Tests
(60 minutes each written tests held in lecture periods):
20% each (Dates for the tests: Tuesday, July 05 and Thursdays,
July
14 and
July 28, 2005).
Final Examination:
40% of the overall grade, will take place on
Thursday, August 11 from 19:00 to 22:00 in CLH G.
All test marks you receive should be interpreted as raw scores and not
"percentages". The statistics of scores will be announced for all tests.
Students have seven days from the date of the return of a test paper to appeal
their marks. Cutoff for converting midterm scores into letter grades will be announced prior
to the drop date.
Makeup Policy:
No permission will be given to a
student to write tests in advance of their scheduled
dates. No makeups will be done for the inclass tests.
Missed tests will be counted as zero, except under extreme
circumstances. If you miss a
class test and provide a medical certificate
showing a physical incapability of writing it,
the corresponding percentage
of the final grade will be "forwarded" to the final exam.
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 make up exam only if both of the following
conditions are met:
1)
the student notifies me (raguimov@mathstat.yorku.ca)
or the School of Analytic Studies & Information Technology (Mathematics
Department,
Room 2005, TEL Building,
Tel: 4167362100, Ext.
33203; Fax: 4167365188) in advance that the exam will be missed,
2)
the student provides a
medical certificate showing a physical incapability of writing the exam
within one week following the exam.
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 for Hawaii or Las Vegas on August
05 is NOT a legitimate excuse for absence from a final
exam on August 10.
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:
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.
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
School of Analytic Studies & Information Technology
4 Links to Linear
Algebra sites
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 2005, All Rights Reserved, York University & Iouldouz S. Raguimov
Last modified August 25, 2005