Welcome to the Course Page of

SC/MATH  1025  3.0 A

Applied Linear Algebra

Fall 2008

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Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario  M3J 1P3

Course Organization:


Course Information

Course Schedule


Exams  Information

Links & Other Resources


This area will contain announcements and solutions to exams. 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.

March 09:

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.

February 24:

I am making available the  term grades  for the course. Please let me know


before the final examination if there is any discrepancy.

February 23:

Please note that you can pick up your Test #3 paper from the box outside of


my office (S512 Ross).

February 21:

As it was announced earlier, the Final Examination will take place on Thursday,


February 26, from 19:00 to 22:00 in CLH A. On the exam you will be responsible


for all material covered in this course from Sections 1.1-1.7, 2.1-2.4, 3.1-3.5,


4.1-4.3 and 7.1. You are permitted to bring a non-programmable, non-graphing


calculator. No other aids are allowed. There will be several questions (similar to


the questions that we have had on the term-tests), some with 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 the last date to drop


the course without receiving a grade (March 10).


Please note that during the examination period the Math Lab will be open on


Monday-Friday between 11:00 A.M. and 3:00 P.M. I will also be holding an


additional office hour for last minute questions on Thursday, February 26, between


12:00 and 13:00.

February 20:

Test #3 papers will be returned sometime at the beginning of the next week.


I am making available solutions to the test questions.

February 14:

As it was announced in the class yesterday, we will write Test #3 during the


lecture period on Wednesday, February 18. On the test you will be responsible


for all the material covered in class from Sections 3.5, 4.1-4.3 and 7.1.

February 13:

Practice exercises for Sections 5.1-5.3, 7.1 and 7.2:


5.1:  #1, 2, 8, 9, 10, 11, 12, 13, 14, 17, 18, 22


5.2:  #1, 5, 7, 10, 11, 15, 19


5.3:  #1, 2, 5, 7, 10, 11, 14, 15, 16


7.1:  #1ab, 5, 6, 7, 8, 9, 10


7.2:  #8 - 11, 18, 19, 20.

February 05:

Practice exercises for Sections 4.1-4.3:


4.1:  #1, 3, 9, 10, 11, 15, 23


4.2:  #1, 3, 5, 6, 7, 8, 11-13, 16, 20


4.3:  #2, 4, 8 - 14.

January 30:

Please note that the academic disruption due to the strike has been ended.


Courses and other Academic Activities at the University will resume on


Monday, February 2.


 Welcome back!


Please see the revised Course Schedule. We will not be covering the


material from Sections 5.1-5.4 of the textbook. Test #3 will take place


on Wednesday, February 18. Please also see the revised Important Dates




Test #2 papers will be returned in the class on Monday, February 2.


I am making available solutions to the test questions.

November 06:



Click here to go to CUPE 3903 Strike mini-site for strike related updates!

October 29:

Please note that the date for Test #2 has been changed, it will take place on


Monday, November 03 in CLH G. On the test you will be responsible for all


the material covered in class from Sections 2.1-2.4, 3.1-3.4 of the textbook.

October 17:

Practice exercises for Sections 3.1-3.5:


3.1:  #3 - 6. 9, 10, 15


3.2:  #3, 4


3.3:  #3, 4, 5, 6, 10, 12, 13, 16, 18, 19, 25


3.4:  #2, 3, 4, 9, 10, 11, 17


3.5:  #4, 5, 8, 13, 14, 20, 22, 23, 25, 30, 35, 39.

October 09:

Please note that Test #1 papers will be returned in the class on Friday,


October 10. I am making available solutions to the test questions.

October 07:

Practice exercises for Sections 2.1-2.4:


2.1: #1 - 4, 10, 11, 17, 20, 22, 23, 25, 26, 29


2.2:  #2, 3, 4 - 11, 12


2.3:  #4, 5, 7, 8 - 11, 12, 15


2.4:  #1(abc), 2(abc), 10, 11, 17.

September 29:

Please note that we will write Test #1 during the lecture period on Friday,


October 03 in two class rooms, as follows:


- surname starting with A - J: CLH A,


- surname starting with K - Z: CLH G.


On the test you will be responsible for all the material covered in class from


Sections 1.1-1.7 of the textbook.


Also, please note that starting Wednesday morning a copy of the Student's


Solutions Manual will be available on reserve in Steacie Library. This manual


has solutions to all odd-numbered exercises.

September 22:

Please note the Math Lab, S525 Ross Building, is open throughout the semester


from Monday to Friday between 10:30 A.M. and 3:30 P.M. For more information


on the Math Lab please go to: www.math.yorku.ca/new/undergrad/mathlab.htm

September 15:

As it was announced in the class on Friday, the tutorials will take place on


Mondays 15:30-16:30 and  Wednesdays 14:30-15:30 in


FC 106 (Founders College).


Practice exercises for Sections 1.3-1.7:


1.3: #1 - 6, 11, 12, 13, 15 - 17, 20


1.4:  #4, 7 - 11, 13 - 20, 23


1.5:  #1, 2, 6 - 8, 10, 13


1.6:  #1 - 20


1.7:  #1, 2(b), 3, 4, 5, 6, 7, 9, 10, 13, 15.

September 08:

Please note that Tutorials for the course will start on Wednesday, September 10.


As it was announced in the class on Friday, the tutorials will take place on


Mondays 15:00-16:00 and  Wednesdays 14:30-15:30 in FC 106. Tutorials


are optional. There is no need to register.


Practice exercises for Sections 1.1 and 1.2:


1.1:  #1, 3, 6, 7, 8, 9, 11, 12


1.2:  #1, 2, 3, 4, 5, 6, 12, 13, 15, 16, 20, 22, 24, 26, 30, 31, 32.

September 03:


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Course Information


Day, Time and Venue:

MWF 13:30-14:30, CLH G



Dr. Iulduz Raguimov



S512 Ross Building





Office Hours:

MF 12:00-13:00, W 16:30-17:30





Day, Time and Venue:

M 15:00-16:00, W 14:30-15:30, FC 106

Tutorial Leader:


Professor Michael Haslam





Three Tests: 

20% each


Final Examination:


Course Description: Topics include systems of linear equations, general matrix algebra, determinants, vector space concepts for Euclidean n-space (e.g., linear dependence and independence, basis, dimension, linear transformations, etc.), and an introduction to eigenvalues and eigenvectors. The course gives a one-term intensive introduction to linear algebra, with emphasis on its applications. It is particularly appropriate for students taking Science or Engineering programs which require one termís worth of linear algebra. For more detailed list of topics with references to the textbook, please see Course Schedule.


Elementary Linear Algebra -Applications Version, Ninth Edition

by Howard Anton and Chris Rorres, John Wiley & Sons, Inc. 2005

ISBN 0-471-66959-8.

Course Prerequisites:

12U Geometry and Discrete Mathematics or OAC Algebra and



Course Credit

AS/SC/AK/MATH 1021 3.0, or AS/SC/MATH 2021 3.0, or


AS/SC/AK MATH 2221 3.0, or GL/MATH/MODR 2650 3.0.


Important Dates:

September 03: Classes commence.

September 18: Last date to enrol in the course without my permission.

October 03: Last date to enrol in the course with my permission.

March 10: Last date to drop the course without receiving a grade.

February 18: Last day of classes.

February 20 - March  03: Examination period.

Course Schedule

(subject to any changes announced in class)




Sept. 3-5

Introduction, 1.1

Classes begin on Wednesday, September 03.

Sept. 8-12

1.2, 1.3


Sept. 15-19

1.4, 1.5


Sept. 22-26

1.6, 1.7


Sept. 29-Oct. 3

2.1, Test #1

Test #1 will take place on Friday, October 03.

Oct. 6-10 

2.2, 2.3


Oct. 13-17 

2.4, 3.1

No classes will be on Monday, October 13.

Oct. 20-24  

3.2, 3.3


Oct. 27-31  

3.4, 3.5


Nov. 3-7

Test #2, 3.5

Test #2 will take place on Monday, November 03.

Feb. 2-6

Review, 3.5, 4.1, 4.2


Feb. 9-13

4.3, 7.1


Feb. 18

Test #3

Test #3 will take place on Wednesday,  February 18.

Feb. 20-March 3

Final Examination



Throughout the term, practice exercises will be announced in class and 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 the problems. Do not memorize them. Rather, learn how to solve problems like them. 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 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.

Exams Information

Lecture/Test Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam cell phones, digital dictionaries, palms, pagers, computers, and hats with large peaks 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, a non-graphing, non-programmable calculator and purses.
You are responsible for all material covered in lectures.
Note: You may not use graphing
or programmable calculators on the tests and final exam. Photo identification and signing-in are required at all tests and exam.

Final Grade:

The composition of the final grade is as follows:
Three Tests (50 minutes each written tests held in lecture period)†† :20% each(Tentative dates for the tests: Friday, October 03, Monday, November 03 and Wednesday, February 18). Final Examination (three-hour exam scheduled by the Registrar's Office)†††† : 40% of the overall grade, will take place during the examination period. All test-marks you receive should be interpreted as raw scores and not "percentages". The statistics of scores will be announced for all tests. Cut-off for converting midterm scores into letter grades will be announced prior to the drop date. Students have seven days from the date of the return of a test paper 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 all three tests, your lowest  grade obtained on any test will be replaced by the grade on the final exam if the final exam grade is higher.

Make-up Policy:

No permission will be given to a student to write tests in advance of their scheduled dates. No make-ups will be done for the tests.  Missed tests 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. Do not write a test or the final exam, if you do not feel well. Once you write a test or the final exam that is the score you will receive. If you miss a test  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 make-up 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/N503 Ross Building, 416-736-2100 ext. 55902) in advance that the exam will be missed,
  2) the student submits the Attending Physician's Statement form provided here after getting it filled in by his/her doctor within one week following the exam date.
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 Las Vegas
or Hawaii on February 25 is NOT a legitimate excuse for absence from a final exam on February 28.

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 tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first two weeks of classes. 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 Registrarís 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 oneís programme or specialization may result in serious consequences. Refer to the Senate Policy on  Academic Honesty.


Individual questions can be discussed by e-mail, or in person after class, or during office hours. Please send all e-mail notes as plain text within the body of the message. Do not send attachments nor HTML-formatted 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 up-dated regularly to include important announcements made in class, such as the material to be covered on the tests. E-mail notes requesting such information contained on the web page will be answered the last.

Links and Other Resources

1-  York Undergraduate Math Program
2-  York University Library

Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca

© 2008, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified March 09, 2009