Welcome to the Course Page of

MATH 1021 3.00 A

Linear Algebra I

Summer 2012

 

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

Course Organization:

Announcements

Course Information

Course Schedule

Homework

Exams  Information

Links & Other Resources


Announcements

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.
 

June 29:

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 faculty.

 

HAVE A WONDERFUL SUMMER!

June 16:

I am making available  General Review Topics  for the Final Examination.

June 14:

Please note that the Final Examination will take place on Wednesday,

 

June 20 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 more recent material covered after the second test.

 

Unofficial final grades for the course will (hopefully) be posted to the course

 

web page by June 30.

June 11:

I am making available  solutions  to Test #2 questions. Please note that the

 

graded test papers will hopefully be returned in the class on Thursday, June 14.

 

Please note that Course Evaluations are available on-line at the URL link

 

http://courseevaluations.yorku.ca  until Friday, June 15. It is the time for you

 

to be the judge. Please go on-line and complete the course evaluation.

June 09:

Practice exercises for Chapter 4:

 

Section 4.1:  # 3, 4, 5, 7, 8, 11, 14, 20-22, 23(b), 24, 33, 34;

 

Section 4.2:  # 2-4, 7, 9, 11, 12-16, 19, 20, 24, 32, 34, 41;

 

Section 4.3:  # 2-5, 7, 8, 11, 13, 16-18;

 

Section 4.4:  # 1-5, 9;

 

Supplementary Exercises: 1, 3, 4.

June 05:

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, June 7. On the test you

 

will be responsible for all the material covered in class from Sections 2.4,

 

2.5, 2.6, 2.7, 3.1, 3.2 and 3.3 of the textbook.

June 04:

Please note that Course Evaluations are available on-line at the URL link

 

http://courseevaluations.yorku.ca  until Friday, June 15. It is the time for you

 

to be the judge. Please go on-line and complete the course evaluation.

June 03:

Practice exercises for Chapter 3:

 

Section 3.1:  # 1, 4-7, 9-11, 13, 14, 17, 27;

 

Section 3.2:  # 1-3, 5, 8-10, 15, 16, 20, 25, 28;

 

Section 3.3:  # 1-3, 7-10, 12, 13, 15, 17, 24, 26, 27;

 

Section 3.4:  # 1.

May 24:

I am making available  solutions  to Test #1 questions. Please note that the

 

graded test papers will hopefully be returned in the class on Thursday, May 31.

May 18:

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, May 22. On the test you will

 

be responsible for all the material covered in class from Sections 1.1, 1.2, 1.3,

 

1.6, 2.1, 2.2 and 2.3 of the textbook.

May 16:

Practice exercises for Chapter 2:

 

Section 2.1:  # 1, 2, 4, 6, 10, 13, 14, 15, 19, 20;

 

Section 2.2:  # 1, 2, 3, 5, 7, 8, 10, 11, 16, 17, 20;

 

Section 2.3:  # 1, 2, 3, 4, 5, 8, 9, 12, 17, 22, 27, 30, 33, 34;

 

Section 2.4:  # 2, 3, 4, 5, 6, 8, 9, 10, 17, 20, 28, 36;

 

Section 2.5:  # 1, 2, 4, 5,  6-10, 12, 17, 18;

 

Section 2.6:  # 1, 2, 3, 4, 7, 8, 12, 18, 21, 23;

 

Section 2.7:  # 1, 4.

May 12:

Tutorials for the course is taking place in MathLab, S525 Ross Building,

 

which is open throughout the term every week: Monday-Thursday from 4:20

 

to 5:50 P.M., also Mondays 10.30-12:00 P.M. and Thursdays 1:30-3:00 P.M.

 

For more information on the MathLab please check the web page at:

 

http://www1.math.yorku.ca/new/content/math-lab

May 08:

Welcome back!

 

To view and/or print  PDF  files you need to download the Acrobat Reader 

 

Practice exercises for Chapter 1:

 

Section 1.1:  # 3, 7-11, 13-15;

 

Section 1.2:  # 2, 3, 5, 7, 9, 11-13, 15, 16;

 

Section 1.3:  #1-3, 5, 6, 7-9;

 

Section 1.6:  # 2, 4;

 

Supplementary Exercises: 1, 2, 3, 6, 13.

 

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

 

Building, which is open throughout the term: Monday-Thursday from 4:20 to

 

5:50 P.M., also Mondays 10.30-12:00 P.M. and Thursdays 1:30-3:00 P.M.

 

For more information on the MathLab please check the web page at:

 

http://www1.math.yorku.ca/new/content/math-lab

 

I am making available Errata Corrections to the 6th Edition of the textbook.


Course Information

MATH 1021:

Session:

Summer 2012

 

Section:

A

 

Lectures:

T/R 18:00-21:00, CLH C

Instructor:

Name:

Iulduz Raguimov

 

Office:

S512 Ross

 

Phone:

416-736-2100, EXT 66092 or 416-736-5250

 

Office Hours:

W/R 15:00-16:00, also by appointment

 

E-mail:

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 linear equations, matrices, Gaussian elimination, determinants and vector spaces. Similar to AS/SC/AK/MATH 2221 3.00 but at a more advanced level. Additional topics: Euclidian n-spaces, lines and planes, linear transformations from R^n to R^m, rank and nullity of a matrix. 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

McGraw-Hill Ryerson, ISBN 0-07-098510-3

  

Course Prerequisite:

One 12U or OAC mathematics course or equivalent.

 

Course Credit

SC/MATH 1025 3.00, SC/MATH 2021 3.00

Exclusions:

 AS/AK/MATH 2221 3.00, GL/MATH/MODR 2650 3.00.

   

Important Dates:

May 08: Classes commence.

May 11: The last date to enrol in the course without my permission.

May 18: The last date to enrol in the course with my permission.

 

May 22: Test #1

June 01: The last date to drop the course without receiving a final grade.

 

June 07: Test #2

 

June 14: The last day of classes.

June 20-22: Examination period.


Course Schedule

(subject to any changes announced in class)

WEEK of:

SECTIONS

COMMENTS

May 7-11  

Introduction, 1.1-1.3

Classes begin on Tuesday, May 08.

May 14-18

1.6, 2.1-2.3

 

May 21-25

Test #1, 2.4-2.6

Test #1 will take place on Tuesday, May 22.

May 28-June 1

2.7, 3.1-3.2

 

June 4-8

3.3-3.4,  Test #2, 4.1

Test #2 will take place on Thursday, June 07.

June 11-15

4.2-4.4, Review

The classes end on Thursday, June 14.

June 20-22

Final Examination

Wednesday, June 20, 2012 in VH C.

Note: The course will not cover all the sections of each chapter from the textbook.


Homework  

Throughout the term, recommended 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.


Exams Information

Lecture/Exam Rules:

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 signing-in are required at all tests and exam.

Final Grade:

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, May 22 and Thursday, June 07). Final Examination††† :†† 40% of the overall grade, will take place during the examination period between June 20 and 22, 2012.
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.

Make-up 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 term-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, N502/503 Ross Building, 416-736-2100, 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 June 16  is NOT a legitimate excuse for absence from a final exam on June 21.


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 in-class 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.  Photo identification and signing-in 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.

Communication:

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 Mathematics Program
2-  Links to Linear Algebra sites
3-  Study Groups
4-  How To Write Proofs

 


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

© 2004-2012, All Rights Reserved, York University & Iouldouz S. Raguimov

Last updated June 30, 2012