Welcome to the Course Page of MATH 1190 3.00 B Introduction to Sets and
Logic Fall 2015 

Department of Mathematics and Statistics 

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.
December 28: 
Please click here to see your final exam mark and unofficial 

letter grade for the course. Please also note that your official 

grade for the course will be available by the Registrar's 

Office upon the faculty approval. 

Happy Holidays! 
December 02: 
Please note that the Final Examination for the course will take place on 

Thursday, December
17, 2015 from 19:00 to
22:00 in TC AVIVA. 

The exam will be comprehensive, covering the entire course material 

covered in class according to the Course Schedule with an emphasis on 

the more resent material covered
after Test #2. 

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 should 

explain your solutions where appropriate. Unofficial final
grades for the 

course will hopefully be posted to the course web
page by January 3, 2016. 

I am making available a copy of the final examination for
the course from 

the Winter Term of 2012 (courtesy of Prof. E. Brettler). 
December 01: 
Please note that the graded Test #3 papers will be returned in the class on 

Thursday, December 03. I am making available a scanned copy of solutions 

to the test questions in PDF
format. 
November 22: 
According to your requests,
I am making available solutions to Test #2, 

Test #3 and Test #4 with solutions in PDF format
from the Winter Term of 

2012 (courtesy of Prof. E. Brettler). 
November 19: 
As is was announced in
the class today, on Test #3 you
will also be responsible 

for the material covered
in class from Section 2.5 of the textbook. 
November 18: 
Please note that we will write Test #3 on Thursday, November 26, 2015 from 

7:00 to 8:10 PM in two classrooms as follows: 

 family name starting with A
 K: CLH H (please note the
change from Test #2); 

 family
name starting with L 
Z: CLH K. 

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

Sections 2.3, 2.4, 2.5,
4.1, 4.2, 4.3, 4.4, 4.5 and 4.6 of the textbook. 
November 16: 
Please note that the student course
evaluations are available at the URL
link: 

http://courseevaluations.yorku.ca from November 16^{th} to December 8^{th},
2015. 

It is the time for you to be the judge. Please go
online and complete the course 

evaluation. Thank you! 
November 11: 
Practice exercises for Chapters 4, 5 and 9: 

Section 4.1: 1, 5, 6,
7, 8, 9, 10, 13, 16, 21, 22, 24, 25, 26, 28, 29, 30, 35; 

Section 4.2: 1, 2, 3,
4, 6, 10, 12, 21ab, 22; 

Section 4.3: 1, 2, 3,
4, 5, 8, 15, 17, 24, 25, 26, 30, 33, 39de, 52; 

Section 4.4: 3, 5, 9,
11, 21, 31; 

Section 5.1: 3, 4, 5,
6, 7, 8, 10, 11, 16, 18, 19, 21, 28, 33, 34, 40, 48, 50, 55; 

Section 5.2: 2, 4,
14, 22, 26, 30, 40; 

Section 5.3: 1, 3,
25; 

Section 9.1: 1, 2, 3,
4, 5, 6, 7, 8, 16, 20, 24, 34, 40, 41, 48, 56; 

Section 9.5: 1, 2, 3,
7, 8, 9, 10, 12, 15, 16, 22, 30, 36, 44, 45, 47, 48, 52, 55, 56, 62. 
November 04: 
Please note that the graded Test #2 papers will be returned in the class on 

Thursday, November 05.
I am making available a scanned copy
of solutions 

to the test questions
in PDF format. 
October 16: 
As it was announced in the class yesterday, we will write Test #2 on Thursday, 

October 22, 2015 from 7:00 to 8:10 PM in
two classrooms as follows: 

 family name starting with A  L: CLH H; 

 family name starting with M  Z: CLH K. 

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

Sections 1.5, 1.6, 1.7, 1.8, 2.1 and 2.2 of the textbook. 
October 14: 
Please
note that the graded test papers will be returned
in the class
on 

Thursday, October 15. 

Practice exercises for Chapter 2: 

Section 2.1: 1, 2, 3,
6, 7, 8, 9, 10, 14, 18, 20, 21, 28, 32, 35, 38, 42; 

Section 2.2: 2, 3, 4,
12, 13, 15, 19, 20, 23, 27, 28, 29, 30, 36, 40, 48, 52; 

Section 2.3: 2, 3, 4,
5, 7, 8, 10, 11, 12, 14, 15, 16, 18, 21, 22, 30, 32, 36, 38, 40, 54, 58, 72; 

Section 2.4: 3, 5, 6,
9, 10, 14, 18, 20, 25, 26, 32, 33, 34, 42; 

Section 2.5: 1, 2, 3,
4, 6, 10, 16, 22, 23, 28. 
October 07: 
I am making available a scanned copy of solutions to Test #1 questions 

in PDF format. Please note that the graded test papers will hopefully be 

returned in the class on Thursday, October 15. 
October 02: 
Practice exercises for Sections 1.61.8: 

Section 1.6: # 2, 3, 6, 7, 10, 15, 16, 20, 24, 30, 35; 

Section 1.7: # 1, 2, 3, 6, 7, 8, 9, 12, 18, 23, 24, 26, 31, 32,
36, 39, 42; 

Section 1.8: # 1, 3, 9, 17, 19. 

Review Questions (page 111):
116. 
September 27: 
Please note that starting
Thursday, October 01, Tutorials
for the course 

will take place in CLH K. 
September 25: 
As it was announced in the
class yesterday, we will write Test #1
on Thursday, 

October 01, 2015 from 7:00
to 8:00 PM in two classrooms
as follows: 

 family name starting with A  L: CLH H; 

 family name starting with M  Z: CLH K. 

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

Sections
1.1, 1.2, 1.3 and 1.4 of the textbook. 

You may click here to see
Test #1 with solutions in PDF format from the Winter 

Term of 2012 (courtesy of Prof. E. Brettler). 
September 18: 
As it was announced in the
class yesterday, Tutorials for the
course will be on 

Thursdays from 18:00 to
18:50. Please note that until further announcement the 

tutorials will take place in N501
Ross. 

I am also making available the weekly schedule of the Math Lab for Fall
Term. 
September 10: 
Welcome! 
To view and/or print PDF files you need to
download the Acrobat Reader 


Practice exercises for Sections 1.11.5: 

Section 1.1: # 1, 2, 5, 6, 7, 8, 9, 11, 13, 14, 16, 17, 19, 20, 21, 22, 23, 27, 28, 31, 34, 35, 37, 38, 43; 

Section 1.3: # 3, 5, 6, 7, 8, 9, 10, 11, 12, 17, 23, 24, 25,
31, 34, 42, 44, 46, 58; 

Section 1.4: # 3, 6, 7, 8, 11, 12, 13, 14, 15, 17, 19, 20,
21, 22, 26, 31, 32, 35, 36, 42, 44, 47, 49, 58, 59, 62; 

Section 1.5: # 2, 3, 7, 10, 11, 14, 20, 24, 25, 27, 31, 32, 39,
40, 45; 46, 50. 

If you would like to be a class representative for this course, please see me during the 

break today. To read the letter from the Bethune
College Master’s Office please click 

the link.
Some additional information can be found on the
following Bethune College 

CR Program webpage: bethune.yorku.ca/classreps/ 
Course: 
Term
and Session: 
Fall
2015 
MATH
1190 
Section: 
B 

Lectures: 
R
19:0021:50, CLH H 
Instructor: 
Name: 
Dr.
Iouldouz Raguimov 

Office: 
S512
Ross 

Phone: 
4167362100,
Ext. 66092 or 4167365250 

Office
Hours: 
T
16:0017:30, W 12:00–13:30, also by appointment 

Email: 


Tutorials: 
R
18:0018:50, CLH K 
Tutorial
Leader: 
Name: 
Mr.
Muqiao Huang 

Email: 

Grading: 
Three
Tests: 
20%
each 

Final
Examination: 
40% 
Course Description: This course is program requirement in Computer Science. It is also intended for math majors and other students wanting an introduction to discrete mathematics. The topics covered are basics of propositional and predicate logics, proof techniques, sets, functions, relations, modular arithmetic and applications of elementary number theory, induction. The emphasis will be on understanding the basic concepts, mathematical reasoning, proofs and problem solving that will be required in upper level MATH courses. For a more detailed list of topics with references to the textbook, please see Course Schedule.
Textbook
and 
Discrete
Mathematics and Its Applications, Seventh
Edition 
other aids: 
by Kenneth H. Rosen 

McGrawHill, 2012.
ISBN: 7980073383095. 
Optional
Aids: 
Student’s
Solutions Guide for Discrete Mathematics and Its Applications, Seventh Edition 

by Kenneth H. Rosen 

McGrawHill,
2012. ISBN: 7980077353506. 

Please see www.mhhe.com/rosen for more information regarding the
textbook. 
Reference Sources: 
There are a number of copies of the book in the Steacie Science Library 

in twohour reserve. 
Course
Prerequisites: 
At
least one 12U or OAC mathematics course or equivalent. 
Course
Credit 
GL/SCLA/MATH/MODR
1650 3.00, SC/MATH 1019 3.00. 
Exclusions: 

Important
Dates: 
September
10: Classes
commence. 

September 24: The last date to enrol in the course without my permission. 

October 08: The last date to enrol in the course with my permission. 
October 29November 01: Fall Reading Days (no classes). 


November 09: The last date to drop the course without receiving a final
grade. 
December
07: The
last date to submit term work. 


December
07: Classes
end. 

December
08: Study
day. 

December
0923: Examination
period. 
(Tentative, subject to any changes announced in class)
Thursdays: 
Sections: 
Events: 
Sept 10 
Introduction, 1.1 
Classes
begin on Thursday, September 10. 
Sept 17 
1.21.3 

Sept 24 
1.41.5 
September
24 is the last day to enrol without my permission. 
Oct 01 
1.61.7 
Test
#1 will take place on Thursday, October 01. 
Oct 8 
1.8, 2.1 

Oct 15 
2.22.3 

Oct 22 
2.4, 2.5 
Test
#2 will take place on Thursday, October 22. 
Oct 29 
No classes 
Fall Reading
Days. 
Nov 05 
4.14.3 

Nov 12 
4.44.6 

Nov 19 
5.15.2 

Nov 26 
9.1 
Test
#3 will take place on Thursday, November 26. 
Dec 03 
9.5, Review 
Classes
end on Thursday, December 03. 
Dec 0923 
Final Examination 
TBA. 
Note: The course will not cover all the sections of each chapter of the textbook.
Throughout the term, 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
as many exercises as possible. 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! For excellent success and understanding in
this course, it is recommended that you read the relevant sections of the
textbook ahead of each 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 three 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.
Note: Help is also available in the Math Lab in S525
Ross.
All internet connected and other
distractive electronic devices (cell phones, pagers, head phones, digital
dictionaries, CD players, laptops) need to be turned off and kept out of sight
by all participants during class, i.e. during lectures, tutorials, tests and
exams. All such devices as well as all books, papers, knapsacks, and briefcases
must be left at the front of a lecture hall during tests and exams. Anyone
caught with electronic devices will be charged with Academic Dishonesty (see
the next page). The only items you may have at your seat during exams and tests
are pens, pencils, eraser, student ID and purses. Notes need to be taken
manually; use of cellphone cameras in class is not allowed. Activities
(such as newspaper reading, food consumption) that are not conducive to
maintaining an atmosphere of attention and learning in class ought to be
avoided. You are responsible for all material covered in lectures.
Note: Photo identification and signingin are required at all
tests and exams. No calculators will be permitted.
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 D+ and C+.
The composition of the final grade is as follows:
Three Tests (60 minutes each written tests held in lecture periods):
20% each (Tentative dates for the tests: Thursdays, October 01, October 22 and
November 26, 2012);
Final Examination (threehour
exam scheduled by the Registar's Office): 40% of the overall grade, will take place in December
2015, during the examination period.
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.
Makeup Policy:
No
permission will be given to a student to write tests in advance of their
scheduled dates. No makeup 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 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.
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, 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 Banff or Hawaii on December 15 is NOT a
legitimate excuse for absence from a final exam on December 18.
Religious Observance and Accessibility:
Special needs students please identify yourself to the course instructor as soon as possible. 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) 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 Registrar’s Office. Please note that York University welcomes feedback on accessibility issues. Your feedback may be provided by sending email to: mathstat@yorku.ca
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
exams. 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 or
HTMLformatted email. No texting, please. 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.
1York Undergraduate Math
Program
2Infinity Club
3Online Forum
4Local
time in Toronto
Questions and comments regarding this web page
please send to raguimov@mathstat.yorku.ca
© 20042015, All Rights Reserved, York University
& Iouldouz S. Raguimov
Last updated December 28, 2015