AS/SC/MATH 1025.03 N
Applied Linear Algebra
2004 Winter
Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario M3J 1P3
| Welcome
to the Course Page of
AS/SC/MATH 1025.03 N Applied Linear Algebra 2004 Winter |
|
|
Department of Mathematics and Statistics |
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| May 06: | Click to see unofficial (preliminary) grades for the course. Please notice that |
| your official grade will be sent to you by the Registrar's Office upon the approval | |
| by the Senate. | |
| HAVE A GREAT SUMMER! | |
| April 11: | Click to check your test grades. If you find any discrepancy, please send me |
| an e-mail and come to see me before the final exam with your test papers. | |
| April 10: | I am making available solutions to Test #3 questions in PDF format. |
| You may pick up your graded test papers from the MathLab, S525 Ross | |
| on Monday, April 12 - Wednesday, April 14 (10:30am -12:30pm, daily) | |
| or Thursday, April 15 from 10:30 to 11:30am. | |
| You may also use the following sample theoretical questions from one of | |
| the former Applied Linear Algebra courses for your final exam preparation. | |
| April 02: | Please note that the Final Examination is scheduled for Friday, April 16th |
| from 15:30 to 17:30. On the final you will be responsible for the all material | |
| covered in class according to the Course Schedule | |
| March 26: | Please note that Test #3 will take place on Wednesday, March 31 in two |
| class rooms, as follows: | |
| - family name starting with A-L: SLH F | |
| - family name starting with M-Z: CSE C. | |
| Coverage of the test is Sections 3.4, 3.5, 4.1-4.3 and 5.1-5.3 from the text. | |
| March 23: | You can pick up your graded Test #2 papers from the MathLab, S525 Ross. |
| I will bring the course evaluation forms to the class on Wednesday, March 24. | |
| It is the time for you to be the judge. Please come and fill out the evaluation | |
| forms. | |
| March 13: | Test #2 papers will be returned in the class on Wednesday, March 17th. |
| Click to view solutions to the test questions in PDF format. | |
| Please note that the tutorial for Wednesday, March 24 (only) has been | |
| rescheduled and will take place on Monday, March 22 at 11:30am in | |
| Room 120 of the Computer Science Building. | |
| March 02: | Please note that Test #2 will take place in two class rooms, as follows: |
| - family name starting with A-M: SLH F | |
| - family name starting with N-Z: S137 Ross. | |
| February 26: | Test #2 will take place on Friday, March 05. Coverage of the test is |
| Sections 2.1, 2.2, 2.3, 2.4, 3.1, 3.2 and 3.3 from the textbook. Click to view | |
| Sample Test from a previous year with solutions in PDF format. Please note | |
| there will be no questions on Eigenvalues and Eigenvectors on Test #2. | |
| Instead you will have a question on Dot Product and Projections. | |
| February 10: | Please note that Test #1 papers will be returned at the end of the class tomorrow. |
| February 09: | I am making available solutions to Test #1. |
| Please click to view solutions to the white and pink papers in PDF format. | |
| January 28: | Test #1 will take place on Friday from 1:30 to 2:20pm in two class rooms, as follows: |
| - family name starting with A-L: BC 341 | |
| - family name starting with M-Z: SLH F. | |
| January 23: | Test #1 will take place on Friday, January 30. Coverage of the test is |
| Sections 1.1, 1.2, 1.3, 1.4, 1.5, 1.6 and 1.7 from the textbook. Click to view | |
| Sample Test with solutions in PDF format. | |
| January 15: | Please note that beginning today there will take place two more tutorial sections for |
| the course: Mondays from 9:30 to 10:30am and Thursdays from 2:30 to 3:30pm. | |
| January 12: | Please note that the Math Lab is open from Monday, January 12 to Friday, April 02. |
| For the hours of operation click Math Tutorial Lab | |
| January 05: | Happy New Year! |
| Be sure to read all of the information contained on this web page. You are responsible | |
| for being aware of its contents. | |
To view and/or print PDF files you need to
download the free Acrobat Reader  |
| Course: | Session: | 2004 Winter |
| Section: | N | |
| Lectures: | MWF 1:30-2:30pm, SLH F | |
| Instructor: | Name: | Iulduz Raguimov |
| Office: | S512 Ross | |
| Phone: | x66092 | |
| Office Hours: | W 3:00-4:30pm, R 4:00-5:30pm, also by appointment | |
| Email: | raguimov@mathstat.yorku.ca | |
| Tutorials: | M 12:30-1:30pm, W 11:30-12:30pm, N501 Ross | |
| M 9:30-10:30am, R 2:30-3:30pm, N501 Ross | ||
| Tutorial Leaders: | Name: | Kim Maltman |
| Email: | maltman@fewbody.phys.yorku.ca | |
| Name: | Haileyesus Wondimu | |
| Email: | haile@yorku.ca | |
| TAs: | Name: | Jianjun Jin |
| Email: | jianjun@yorku.ca | |
| Name: | Jianming Yang | |
| Email: | jimmyy@yorku.ca | |
| Grading | Three in-class tests: | 60% |
| Final Examination: | 40% |
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.), an introduction to eigenvalues and eigenvectors, and the arithmetic of complex numbers. 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 term’s worth of linear algebra. For a more detailed list of topics with references to the textbook, please see Course Schedule.
| Textbook: |
Elementary Linear Algebra -Applications Version , Eighth Edition |
| by Howard Anton and Chris Rorres | |
| John Wiley & Sons, Inc. ISBN 0-471-17052-6 | |
| Optional Aid: | Student Solutions Manual - Elementary Linear Algebra, Eighth Edition |
| by Howard Anton | |
| John Wiley & Sons, Inc. ISBN 0-471-38249-3 | |
| Course Prerequisites: | OAC Algebra and Geometry, or 12U Geometry and Discrete Mathematics. |
| Degree-credit | AS/SC/AK/MATH 1021 3.0, or AS/SC/MATH 2021 3.0, |
| Exclusions: | or AS/SC/AK MATH 2221 3.0. |
| Important Dates: | January 05: Classes commence. |
| January 12: Last date to announce the components of final grade. | |
| January 16: Last date to enrol in the course without my permission. | |
| January 30: Last date to enrol in the course with my permission. | |
| February 16-20: Reading week. | |
| March 05: Last date to drop the course without receiving a final grade. | |
| April 02: Last day of classes. | |
| April 03-13: Study period before exams. | |
| April 14: Examinations Start. | |
| April 30: Examinations End. | |
(subject to any changes announced in class)
|
WEEK |
SECTIONS |
COMMENTS |
| January 5-9 | Introduction, 1.1, 1.2 | Classes begin on Monday, January 5. |
| January 12-16 | 1.3, 1.4, 1.5 | Tutorials begin on Monday, January 12. |
| January 19-23 | 1.6, 1.7, 2.1 | |
| January 26-30 | 2.2, 2.3 | Test #1 will take place on Friday, January 30. |
| February 2-6 | 2.4, 3.1 | |
| February 9-13 | 3.2, 3.3 | |
| February 16-20 | No classes | Reading week |
| February 23-27 | 3.4, 3.5 | |
| March 1-5 | 3.5, 4.1 | Test #2 will take place on Friday, March 05. |
| March 8-12 | 4.2, 4.3 | |
| March 15-19 | 5.1, 5.2 | . |
| March 22-26 | 5.3, 7.1 | |
| March 29-April 2 | 7.2, Review | Test #3 will take place on Wednesday, March 31. The classes end Friday, April 2. |
| April 3-13 | Study period before exams. | |
| April 14-30 | Final Examination: Friday, April 16 at 15:30 |
Note: The course will cover nearly all the sections of Chapters 1, 2, 3 and 4 as well as some sections of Chapters 5, 6 and 7.
Throughout the year, the everyday homework assignment is to do as many of the problems from the textbook as you find necessary to develop your understanding of the course material. These will not be collected for grading and hence will not directly affect your grade. Since mathematics is a subject where mastery of previous material is essential in order to understand and deal with current topics, successful students must keep up with homework and seek help for points they do not have clear as soon as possible. Do not fall behind! It is recommended to read the relevant sections of the text before every class. Next to the classes, working out the answers to the problems is the most important preparation for the exams that will contain for the most part but not exclusively, questions very similar to those from the text. I will occasionally make specific suggestions concerning problems to do or to avoid. 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.
List of suggested problems:
Problems enclosed in square brackets refer to the additional
"conceptual" problems sections contained only in the 8th Edition.
| Chapter 1: | Section 1.1 | Exercises: 1,2,3(a,c),4(a,b),5(a,b),8 [10,11]. |
| Section 1.2 | Exercises: 1,2,4(a,b),5(a,b),6,12,16,17,20,25 [31,32]. | |
| Section 1.3 | Exercises: 1,2,3(a,b,c,e,j,k),4(a,c),5(a,b,g,i),11,12,13,18,22,23 [25,26,27]. | |
| Section 1.4 | Exercises: 4,7,8,9,11,13,14,16,21,27,29 [31,33,34,35]. | |
| Section 1.5 | Exercises: 1,2,3,5(a),6(a),7(c),8,9,10,15 [18,20]. | |
| Section 1.6 | Exercises: 1,3,6,9(a,b),21,22(a),23 [28,29]. | |
| Section 1.7 | Exercises: 1,3,4,7,8,11(a),15,18,20,22 [26,28]. | |
| Chapter 2: | Section 2.1 | Exercises: 1,2,3,4,9,10,17,19,20 [21,23]. |
| Section 2.2 | Exercises: 2,4,5,10,11,12 [16,17,18]. | |
| Section 2.3 | Exercises: 3,5,6,9,10,12,14 [20,21,22]. | |
| Section 2.4 | Exercises: 1,2(a,c),3(a,d),4,10,12,15,25 [33]. | |
| Chapter 3: | Section 3.1 | Exercises: 2,3(a,b,c),6,7,8,9,14 [17,18]. |
| Section 3.2 | Exercises: 1,2,3,4,6,8 [13,14]. | |
| Section 3.3 | Exercises: 1(a,c),2,3(a,b),4,5,8,9,12,13,16,17,22 [24,26,27]. | |
| Section 3.4 | Exercises: 1,2(a),3(a),4(a),8,9,10(a),11,15,16,20,24 [35(a),36,37,38,39]. | |
| Section 3.5 | Exercises: 1(a),3(a),4(a),5,9(a),10(a),11,13(a),14(a),17,25,35,38,39,41,42 [46,47]. | |
| Chapter 4: | Section 4.1 | Exercises: 1,2,5,6,9,11,14(a,b),20,26 [34,35,37]. |
| Section 4.2 | Exercises: 2,3,5,6,12(a),13,16,18,20 [32]. | |
| Section 4.3 | Exercises: 1,2,3,6(a,b),7,14,15,21,22 [25(a,b,c),26]. | |
| Chapter 5: | Section 5.1 | Exercises: 1,2,5,6,8,9,11,15 [21,23,24,27,28,30]. |
| Section 5.2 | Exercises: 1,2,3,4,5,7,8,9,12,13,14 [23(a,c,d,e)]. | |
| Section 5.3 | Exercises: 1,2,4,7,8,11,15,17,19 [23]. | |
| Section 5.4 | Exercises: 1,2,3,4,5,6,7(a),8,10,11,12,18,19,22,23(a,b) [30,31,32,33,35]. | |
| Chapter 6: | Section 6.3 | Exercises: 2.3(a,b),12(a),13(a),16,18. |
| Section 6.5 | Exercises: 1,2,3,6,10,21,22,23 [31] | |
| Chapter 7: | Section 7.1 | Exercises: 1(a,b),4(a),5,6,7(a),8,9,10,11,12,16,20,21 [24,25]. |
| Section 7.2 | Exercises: 1,3,7,8,11,13,14,19,20 [25]. | |
| Section 7.3 | Exercises: 1,2,5,8,11 [14(a,b),15]. | |
| Chapter 10: | Section 10.1 | Exercises: 1,3,4,5,8,10,11,16,17,18,21,23,24,25. |
| Section 10.2 | Exercises: 1,2,4,5,7,8,14,15,16,17,19,21,23. | |
| Section 10.3 | Exercises: 1,2,3,4,6,7(a,b),10,11,12,13. |
Please turn off all cell phones and
pagers before entering the lecture hall. For the tests and exam calculators, digital
dictionaries, palms, cell phones, 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 next page). The
only items you may have at your seat are pens, pencils, student ID, purses and
coats.
You are responsible for all material
covered in lectures.
Note: Photo identification and signing-in are required at all examinations.
The composition of the final grade is as follows:
Three in-class tests
(50 minutes each written exams held in the lecture period):
60% (Friday, January 30,
Friday March 05 and Wednesday March 31).
Final Examination (3-hour exam scheduled by the Registrar's
Office):
40%.
All test marks you receive should be interpreted as row scores and not
"percentages". The statistics of scores will be announced for all
tests.
Cut-off for converting test scores into letter grades will be announced prior
to the drop date.
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 in-class tests. Missed
tests will be counted as zero,
except under extreme circumstances. If you miss
a 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 exams is extremely dangerous and not recommended.
As experience has shown, students who miss in-class exams 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 provides a medical certificate showing a physical
incapability of writing the exam.
Students who miss the Final Examination and
do not meet both conditions will receive a grade of F.
Note: Do not make vacation/job plan until the final exam date is
known: having a plane ticket for Hawaii or Las Vegas on April 25 is NOT a
legitimate excuse for absence from a final exam on April 29.
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) by January 16, 2003. Please note that if the final exam date poses a conflict, students must complete an Examination 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, which is found on pp. 77-81 in the “2002-2003 University Calendar”.
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 exams. E-mail notes requesting such information contained on the web page will be answered the last.
1- Links to Linear Algebra sites
2- York Undergraduate Math Program
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
Last updated May 06, 2004