Welcome to the Course Page of

AS/AK/MATH  1550 6.0 B

Mathematics with Management

Applications

2003-2004 Full year

 

Department of Mathematics and Statistics
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 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.
 
April 26: Click to see unofficial (preliminary) final 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 10: Click to check your percentage midterm, Exam #3, Exam #4 and term grades.
  If you find any discrepancy, please send me an e-mail and come to see me before
  the final exam with your exam papers.
April 05: If you did not pick up your Exam #4 paper in class, you may pick it up from
  the MatLab at S525 Ross on Monday, April 5 (10:30am -1:30pm), or Thursday,
  April 8 (10:30am -1:30pm), or Wednesday, April 14 - Friday, April 16 (10:30am -
  1:30pm, daily) or Monday, April 19 - Friday, April 23 (10:30am -1:30pm, daily).
  Please note that during the study period before exams I will keep my regular office
  hours according to the Course Information. Feel free to drop by if you have any
  questions. Click to view the list of topics from the Notes that will be included and
  that will not be included (left out) in the Final Examination.
April 01: Exam #4 papers will be returned in the class today. Please click to view  solutions 
  to the exam questions in PDF format.
March 29: Final Examination is scheduled for Wednesday, April 14th from 12:00 to 15:00
  in two class rooms, as follows:
  - family name starting with A-L: SLH A
  - family name starting with M-Z: SLH F
  Please note that for your benefit the final exam grade, if higher than your term grade,
  will account for 100% of the course grade. So, try your best on the final!
  I will bring the course evaluation forms to the class on Tuesday, March 30. It is
  the time for you to be the judge. Please come and fill out the evaluation forms.
March 20: Class Exam #4 will take place on Thursday, March 25th from 2:30 to 3:40pm 
  in two class rooms, as follows:
  - family name starting with A-G: CLH J
  - family name starting with H-Z: CLH B.
  You are responsible for all the material covered in class from Sections 12.1-12.5,  
  13.1-13.5, 8.1-8.7 and 9.1-9.2 of the notes. Relevant sections from the textbook are:
  19.7, 19.8, 19.10, 16.5, Appendix A A.6, 8.1-8.3 and 16.1-16.4.
March 01: Exam #3 papers will be returned in the class on Tuesday, March 02.
  Please click to view  solutions  to the exam questions in PDF format.
February 09: Please note that Exam #3 will take place in two class rooms, as follows:
  - family name starting with A-S: CLH B
  - family name starting with T-Z: TEL 0006.
  You MUST write the exam in the correct room unless you want to get "zero" on the exam.
February 07: Class Exam #3 will take place on Thursday, February 12th from 2:30 to 3:40pm 
  You are responsible for all the material covered in class from Sections 5.1-5.6,  
  6.1-6.4, 7.1-7.6 and 11.1-11.10 of the notes. Relevant sections from the textbook are:
  12.4, 12.6, 13.1-13.4, 14.1-14.5, 15.1-15.3, 19.1-19.6 and 19.10.
January 12: Please note that the Math Lab is open from Monday, January 12 to Friday, April 02. 
For hours of operation click Math Tutorial Lab
Also, please note that my office hours have been changed to 3:00-4:30pm 
on Wednesdays and Fridays.
January 05: Happy New Year!
Exam #2 papers will be returned in the class on Tuesday, January 06.
Please click to view  solutions  to the exam questions in PDF format.
November 25: Please note the changes in the exam class rooms:
-students with family name starting with the letters A-G will write the exam in TEL 0010, 
-students with family name starting with the letters H-Z will write the exam in CLH B.
November 21: In-class Exam #2 will take place on Thursday, November 27th from 2:30 to 3:40pm 
in two class rooms, as follows:
- family name starting with A-G: TEL 0010
- family name starting with H-Z: CLH B.
You MUST write the exam in the correct room unless you want to get "zero" on the exam.
You are responsible for all the material covered in class from Sections 10.6-10.11,  
2.1-2.4, 3.1-3.7 and 4.1-4.5 of the notes. Relevant sections from the textbook are:
6.6-6.9, 5.1-5.4, 8.1, 11.1-11.5, 12.1-12.3, 12.5 and 13.5.
November 20: Make-up class for the missed class of November 04 will take place on Tuesday,   
December 02, from 2:30 to 3:50pm in BC 218.
November 06: If you did not pick up your exam paper October 28 and October 30 in class, you may pick 
it up from the MatLab at S525 Ross. For hours of operation click Math Tutorial Lab
October 31: As it was announced on the last class, there will be no class on Tuesday, November 4th.
The time and the place of a make up class for the missed class will be posted here and 
announced in class by the mid of November. 
Please click to view  solutions  to Exam #1 in PDF format.
October 27: Exam #1 papers will be returned on Tuesday, October 28th at the end of the class.
October 09: Class Exam #1 will take place on Tuesday, October 14th from 2:30 to 3:30pm. 
The coverage of the exam is Sections 4.1-4.6, 7.1-7.3, 6.1-6.5 from the textbook or/and
Sections 1.1-1.6, Chapter 14 and Sections 10.1-10.5 from the notes. 
Students whose family names start with the letters from A to F will be writing the exam in
N143 Ross; students whose family names start with the letters from G to Z will be writing 
the exam in CLH B.
September 18: Extra help with problem solving is available in the Math Lab, Room S525 Ross,
Monday - Friday, from 10am to 3pm.
 September 08: Welcome!
To view and/or print  PDF  files you need to download the free Acrobat Reader 

Course Information

Course: Session: 2003-2004
  Section: B
  Lectures: T/R 2:30-3:50pm, CLH B
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  
TAs: Name: Naveen Vaidya
  Email: nvaidya@yorku.ca
  Name: Shuqing Liang
  Email: sqliang@mathstat.yorku.ca  
Grading Four in-class Exams  60%
  Final Examination 40%

Course Description: This course is designed to provide a mathematical background for students in the BBA (Hons.) program. It is also suitable for the Bachelor Program in Mathematics for Commerce, but should not be taken by those who intend to major in any other program in Mathematics or Statistics or in Computer Science.  It includes calculus, matrix algebra and elements of optimization with applications to management. The course is designed primarily for students interested in business programs. It satisfies a requirement for entry to the BBA (Hons.) program in the Schulich School of Business. One theme of the course is optimization -  how to maximize or minimize a function subject to certain constraints. Most of the course is a discussion of calculus and its applications; matrix theory and its applications are also discussed. The emphasis will be on techniques and on applications to business and management problems.
For a more detailed list of topics with references to the notes and textbook, please see Course Schedule.

Notes: Introductory Mathematics with Management Applications
for Economists
by M. Abramson, York University, September 2003. 
Textbook:

Introductory Mathematical Analysis, Tenth Edition

by Ernest F. Haeussler Jr. and Richard S. Paul 
Prentice-Hall, 2002. ISBN 0-13-033855-9
Optional Aid: Student's Solutions Manual.
Course Prerequisites: AS/SC/MATH 1515 3.0 (may also be taken as a first-term corequisite)
or OAC Calculus or equivalent.
Degree-credit AS/SC/MATH 1000 3.0, or AS/SC/MATH 1013 3.0, or
Exclusions: AS/SC/AK/MATH 1300 3.0, or AS/SC/MATH 1505 6.0, or
AS/MATH 1530 3.0, or AS/MATH 1540 3.0, or AS/ECON 1530 3.0,
or AS/ECON 1540 3.0,  or equivalent.
This course may not be taken by any student who has taken or is taking
AS/SC/AK/MATH 1021 3.0, or AS/SC/MATH 1025 3.0, or 
AS/SC/MATH 2021 3.0, or AS/SC/AK/MATH 2221 3.0, or
or AK/MATH 2220 6.0, or equivalent.
   
Important Dates: September 09: Classes commence.
September 19: Last date to announce the components of final grade.
September 19: Last date to enrol in the course without my permission.
October 17: Last date to enrol in the course with my permission.
December 02: Fall term classes end.
January 05: Classes resume.
February 06: Last date to drop the course without receiving a final grade.
February 16-20: Reading week.
April 01: Last day of classes.
April 03-13: Study period before exams.
April 14: Examinations Start.
April 30: Examinations End.

Course Schedule

(subject to any changes announced in class)

WEEK

Notes - M.Abramson,  SECTIONS

Introductory Math Analysis,  SECTIONS 

COMMENTS

 

 

 

 

Sept. 8-12 1.1, 1.2, 1.3, 1.4 4.1, 4.2, 4.3, 4.4 Classes begin Tuesday, Sept. 09.
Sept. 15-19 1.5, 1.6, 14.1 4.5, 4.6, 7.1, 7.2  
Sept. 22-26 14.1, 10.1, 10.2 7.3, 6.1, 6.2  
Sept. 29- Oct. 3  10.3, 10.4, 10.5 6.3, 6.4, 6.5  
Oct. 6-10  10.6, 10.7, 10.8 6.6, 6.7  
Oct. 13-17  10.9, 10.10, 10.11 6.8, 6.9 Exam #1 will take place on Tuesday, Oct. 14.
Oct. 20-24  2.1, 2.2, 2.3, 2.4 5.1, 8.1, 11.3, 5.2, 5.3, 5.4  
Oct. 27-31  3.1, 3.2, 3.3, 3.4 11.1, 11.2, 11.4, 14.5  
Nov. 3-7 3.5, 3.6, 3.7, 4.1, 4.2 11.5, 12.1, 12.2, 12.5, 12.3  
Nov. 10-14 4.3, 4.4, 4.5, 5.1 15.2, 13.5, 12.6, 12.4  
Nov. 17-21 5.2, 5.3, 5.4, 5.5, 5.6 13.3, 15.2, 15.3 Exam #2 will take place on Thursday, Nov. 27.
Nov. 24-28 6.1, 6.2, 6.3, 6.4 13.2, 13.1, 13.4  
Jan. 5-9 7.1, 7.2, 7.3, 7.4 14.1, 14.2, 14.3, 14.4 Classes resume on Tuesday, Jan.5
Jan. 12-16 7.5, 7.6, 11.1, 11.2 14.5, 15.1, 19.1, 19.2  
Jan. 19-23 11.3, 11.4, 11.5 19.5, 19.3, 19.6, 19.4  
Jan. 26-30 11.6, 11.7, 11.8 11.9, 11.10 19.10, 19.7  
Feb. 2-6 12.1, 12.2, 12.3, 12.4  19.8  
Feb. 9-13 12.5, 13.1, 13.2, 13.3  19.8 Exam #3 will take place on Thursday, Feb. 12.
Feb. 16-20 No classes No classes  Reading week.
Feb. 23-27 13.4, 13.5, 8.1, 8.2 16.5, Appendix A A.6  
March 1-5 8.2, 8.3, 8.4 8.1, 8.2  
March 8-12 8.5, 8.6, 8.7 8.2, 8.3  
March 15-19 9.1, 9.2, 9.3 16.1, 16.2, 16.3, 16.4, 16.6  
March 22-26 9.4, 9.5, 9.6 16.7, 16.8,16.9, 16.11 Exam #4 will take place on Thursday, March 25.
Mar 29-Apr 2 9.7, 9.8, Review 16.10, 17.1, 17.8, Review Classes end Thursday, April 1.
April 3-13     Study period before exams.
April 14-30     Final Exam: Wednesday, Apr.14

Homework  

Please review Chapters 0-3 of the textbook during the first week of classes. 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 (the back of the textbook contains the answers to all odd-numbered numerical 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. 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: 
Extra help with problem solving is available in the Math Lab, Room S525 Ross. This service will begin the second week of classes. For hours of operation click Math Tutorial Lab


Exams Information

Lecture/Test Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For exams 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, non-graphing calculators, purses and coats.
You are responsible for all material covered in lectures.
Note: You may not use graphing calculators on the exams. Photo identification and signing-in are required at all examinations.

Final Grade:

The composition of the final grade is as follows:
Four in-class Exams (50 minutes each written exams held in lecture period):   60%   (Tuesday, Oct. 14 and Thursday, Nov. 27, 2003; Thursday, Feb. 12, and Thursday, March 25, 2004).
Final Examination
(
3-hour exam scheduled by the Registrar's Office):   40%.
All exam marks you receive should be interpreted as row scores and not "percentages". The statistics of scores will be announced for all exams. Cut-off for converting midterm scores into letter grades will be announced prior to the drop date. The lowest mark obtained on any  in-class exam will be replaced by the mark on the final exam if the final exam mark is higher.

Make-up Policy:

No permission will be given to a student to write exams in advance of their scheduled dates. No make-ups will be done for the in-class exams.  Missed exams will be counted as zero, except under extreme circumstances. If you miss an in-class exam  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 September 19, 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”. You are encouraged to familiarize yourself with this Senate legislation before the end of September.

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 exams. 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  


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

Last updated April 26, 2004