Welcome to the Course Page of SU 2012 

Department of Mathematics and Statistics 

This
area will contain announcements and solutions to the tests and assignments.
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.
August
24: 
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! 
August
03: 
I
am making available
solutions to selected problems from Sections 9.2, 

9.3
and 9.4. 

As
it was announced in the Wednesday's class, the Final Examination 

for
the course will take place on Monday, August 13, 2012 from 19:00 to 

22:00
in VH 3009. The exam will be comprehensive, covering the entire 

course
material according to the Course Schedule but
with an emphasis 

on
more recent more recent material covered after the third test. If less 

common
formulae are needed on the exam, then those formulae will be 

provided 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 here by 

Friday,
August 24. 

Also
please note that I will be holding additional office hours for 

last
minute questions on Tuesday, August 07 and Thursday, August 11 

from 14:00 to 15:00. 
August
02: 
I
am making available solutions to
selected problems from Sections 8.2, 

8.3,
8.4 and Chapter 8 Review Problem #4. 

Homework
Problems for Chapter 9: 

Section
9.2 #1, 3, 10, 11, 12, 15, 20, 21, 22 and 23; 

Section
9.3 #1, 2, 3, 7 and 9; Section 9.4 #1 and 3. 
July
31: 
I
am making available a scanned copy of solutions to Test
#3 questions 

in
PDF format. Please note that the test papers will be returned in the class 

tomorrow. 
July
30: 
Homework
Problems for Chapter 8: 

Section
8.2 #1, 2, 4, 6 and 9; Section 8.4 #2, 3, 4, 5, 14 and 16; 

Section
8.6 #1 and 2; Chapter 8 Review Problem #4. 
July
24: 
I
am making available solutions to
selected problems from Sections 7.1, 

7.2,
7.3, 7.5, 7.6 and Chapter 7 Review Problem #5. 
July
23: 
As
it was announced in the class today, we will write Test #3 during the 

lecture period from 18:00 to 19:15 on Wednesday, July 25. On the
test 

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

6.3,
6.56.9, 7.17.3, 7.5 and 7.6 of the textbook. 
July
17: 
Please
note that the student course evaluations are available online at 

the
URL link http://courseevaluations.yorku.ca
from July 13, 2012 to 

August
3, 2012. It is the time for you to be the judge. Please go online 

and complete the course evaluation. 
July
16: 
I
am making available solutions
to selected problems from Sections 6.3, 

6.56.9. 
July
13: 
Homework
Problems for Chapter 7: 

Section
7.1 # 1, 3, 5, 7; Section 7.2 #1 (for 7.1 Problem 1 only) and #3 

(for
7.1 Problem 5 only); Section 7.3 (for 7.1 Problems 1 and 5 only); 

Section
7.5 #1, 2, 3, 4, 6; Section 7.6 #1, 2, 3, Chapter 7 Review Problem #5. 
July
09: 
Please
note that the graded Test #2 papers will be returned in the class
today. 
July
04: 
I
am making available a scanned copy of solutions to Test
#2 questions 

in
PDF format. 
June
27: 
I
am making available solutions to
selected problems from Sections 4.11, 

4.12,
4.14, 4.16, 6.1, 6.2 and Review Problem #19
from Chapter 4. 
June
26: 
As
it was announced in the class yesterday, we will write Test #2 during
the 

lecture period from 18:00 to 19:15 on Wednesday, June 27. On the
test you 

will
be responsible for all the material covered in class from Sections 4.34.12, 

4.14,
4.16 and 6.16.2 of the textbook. 
June
25: 
Homework
Problems for Chapter 6: 

Section
6.1 # 1, 2, 3, 5 (each Radio 2 requires 1 (not 2) Laborer2 hour); 

Section
6.2 # 1, 2; Section 6.3 # 1, 2, 3, 4, 5; Section 6.5 # 1, 2, 3, 4, 5, 6; 

Section
6.6 # 1, 2; Section 6.7 # 1, 2, 3, 4; Section 6.8 # 2, 3, 5, 6; 

Section
6.9 # 1, 2, 3. 
June
19: 
As
it was announced in the class yesterday, the Wednesday class for June 20 

has been cancelled. The makeup class will take place on
Thursday, June 21 

from 18:00 to 21:00 in CB 115. 
June
18: 
I
am making available solutions
to selected problems from Sections 4.4, 4.5, 

4.6,
4.7, 4.8 and 4.10. 
June
05: 
I
am making available solutions to Test #1 questions and the
scanned copy 

of
page 4 of the test paper in PDF format. Please note that the graded test


papers will hopefully be returned in the class on Monday, June
11. 
May
29: 
As
it was announced in the class yesterday, we will write Test #1 during
the 

lecture period from 18:00 to 19:15 on Wednesday, May 30. On the
test you 

will
be responsible for all the material covered in class from Sections 3.13.6, 

3.83.11
and 4.14.2 of the textbook. 
May
28: 
I
am making available solutions
to selected problems from Sections 3.7, 3.8, 

3.9,
3.10, 3.11 and 4.1. 
May
24: 
Homework
Problems for Chapter 4: 

Section
4.1 # 1, 2, 3; Section 4.4 # 1, 2, 4, 6, 7; Section 4.5 # 1, 2, 3, 

4,
5; Section 4.6 # 1, 4; Section 4.7 # 1, 2, 9; Section 4.8 # 1, 4, 5, 6; 

Section
4.10 # 4; Section 4.11 # 1, 2, 4; Section 4.12 # 1, 2, 4, 5; 

Section
4.14 # 1, 2, 4; Section 4.16 # 6, 7; Review Problem
#19. 
May
23: 
I
am making available solutions
to selected problems from Sections 3.1, 3.2, 

3.3,
3.4, 3.5 and 3.6. 
May
14: 
Please
note that Tutorials for the course will be done in MathLab,
S525 Ross 

Building,
which is open throughout the term every week: MondayThursday 

from
16:20 to 17:50, also Mondays from 10:30 to 12:00 P.M. and Thursdays 

from 13:30 to 15:00. As it was announced in the class the last
week, you may 

approach
with your questions to Don Yu on Mondays and Wednesdays from 

16:20
to 17:50, who is responsible for the course in MathLab. 

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


May
10: 
As
it was announced in the class yesterday, effective Monday, May 14, 2012 

lecture room has been changed to ACE 005. 
May
07: 
Welcome back! 

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

Homework
Problems for Chapter 3: 

Section
3.1 #2, 3, 5; Section 3.2 #4, 5, 6; Section 3.3 #2, 3, 6, 9; 

Section
3.4 #1, 3; Section 3.5 #1, 6; Section 3.6 #4; 

Section
3.7 #1; Section 3.8 #1, 4,10; Section 3.9 #1, 12; 

Section
3.10 #1, 9; Section 3.11 #4, 9. 
Course: 
Session: 
SU
2012 

Section: 
A 

Lectures
(time and venue): 
M/W
18:00  21:00, ACE 005 
Instructor: 
Name: 
Dr.
Iulduz Raguimov 

Office: 
S512
Ross 

Email: 


Phone: 
4167362100,
Ext. 66092 

Office
Hours: 
W/R
15:0016:00, also by appointments 
TA 
Name: 
Don
Yu 

Email: 

Grading: 
Three
Class Tests: 
20%
each 

Final
Examination: 
40%

Course Description: An introductory course in Operations Research. The course deals with standard optimization techniques used in Operations Research. The main topics include: a) Linear Programming: the theory and applications of linear programming including the simplex algorithm, duality theorem, postoptimality analysis, and a discussion of the types of problems that lead to linear programming problems; b) Transportation Problems: the transportation algorithm with applications to network flows, assignment problems, shortestroute problems, and critical path scheduling; c) Integer Programming: a study of the situations leading to integerprogramming problems, branchandbound algorithm for solving such problems; d) Dynamic Programming: an introduction to the concepts of dynamic programming with a discussion of typical problems and their solutions. The emphasis will be on practical problems representative of the field of operations research. With the help of notes and class instructions students will be introduced to the optimization solver software LINDO/LINGO and the spreadsheet. For a more detailed list of topics with references to the textbook, please see Course Schedule.
Textbook: 
Operations Research: Applications and Algorithms, Fourth Edition 
by
Wayne L. Winston 


Books/Cole,
Thomson, 2004. ISBN 0534423582 
Optional
Aids: 
Student
Solutions Manual for Operations Research, Fourth Edition 

by
Wayne L. Winston 

Books/Cole,
Thomson, 2004. ISBN 0534423604 


Course
Prerequisites: 
AP/SC/AK/MATH
1021 3.0 or AP/SC/MATH 1025 3.0 or AP/SC/MATH 2021 3.0 

or
AP/SC/AK/MATH 2221 3.0, plus AP/AK/SC/CSE/COSC 1520 3.0 or 

AP/AK/SC/CSE/COSC
1540 3.0 or AP/AK/SC/CSE/COSC 1020 3.0 or 

equivalent. Students who do not have the prerequisites must see me
within the 

first two weeks of the classes. 


Course
Credit 
AK/MATH
2751 3.0, AK/MATH 3490 6.0, AK/ADMS 3351 3.0, 
Exclusions: 
AK/SCE/COSC
3450 6.0, AK/ECON 3120 3.0. 


Important
Dates: 
May
07: Classes
commence 
May
18: The
last date to enrol in the course without my permission 

June
01: The
last date to enrol in the course with my permission 

July
10: The
last date to drop the course without receiving a final grade 


August
01: Classes
end 
August
0717: Final
examination, TBA. 
WEEK 
SECTIONS 
COMMENTS 
May
711 
Introduction,
Ch.1, 3.13.2 
Classes
begin on Monday, May 07. 
May
1418 
3.33.6 

May
2125 
3.83.10 
No
classes on Monday, May 21. 
May
28June 1 
3.11,
4.14.2, Test #1 
Test
#1 will take place on Wednesday, May 30. 
June
48 
4.34.7 

June
1115 
4.84.12 

June
1822 
4.14,
4.16, 6.1 

June
2529 
6.26.3,
Test #2 
Test
#2 will take place on Wednesday, June 27. 
July
26 
6.56.6 
No
classes on Monday, July 2. 
July
913 
6.76.9,
7.17.2 

July
1620 
7.3,
7.57.6 

July
2327 
8.18.2,
Test #3 
Test
#3 will take place on Wednesday, July 25. 
July
30 Aug 1 
8.4,
9.19.4, Review 
Classes
end on Wednesday, August 01. 
August
717 
Final
Examination 
TBA. 
Note: The course will not cover all the sections of the chapters of the textbook.
Throughout the term, homework problems will be posted to the Announcements Section of the course web page. 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. Solutions to typical homework problems will be posted to the course web page. 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'. Once the tests are returned in class, the
distribution of 'raw scores' will be announced along with their 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:
Three classtests (75 minutes each, written tests held in lecture
periods) :20% each, of the overall
grade (Tentative dates for the tests: Wednesdays, May 30, June 27 and July 25).
Final examination (3hour exam scheduled by the Registar's
Office) : 40% of the overall grade,
will take place during the examination period between August 07 and 17, 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 all three tests and your final exam
grade is higher than your average test grade, your final exam will be counted
as 60% and term grade as 40% 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 makeups 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 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 for Hawaii or Las Vegas on August 10 is NOT a
legitimate excuse for absence from a final examination on August 16.
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 classtests 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 Examination 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 York Undergraduate Mathematics Program
2 Online Forum
3 Download free trial version of LINDO package
4 Download free trial version of LINGO package
Questions and comments regarding this Web page please send to raguimov@mathstat.yorku.ca
© 20062012, All Rights Reserved, York University & Iouldouz S. Raguimov
Last updated on August 24, 2012