Welcome to the Course Page of

AS/MATH  1550 6.0 B

Mathematics with Management

Applications

2008-2009 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.
 
June 08: Please click  here  to see  your final exam mark, and unofficial percentage
  and letter grades 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 Senate.
  Have a nice Summer!
May 20: As it was announced earlier, the Final Examination will take place
  on Saturday, May 23, 12:00 to 15:00 in CLH K. On the exam you will
  be responsible for all material covered in this course according to
  Course Schedule. You are permitted to bring a non-programmable
  non-graphing calculator. No other aids are allowed. 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 to the
  course web page by June 15th.
 

I will also be holding an additional office hour for last minute questions

 

on Wednesday, May 20 from 16:30 to 17:30.

May 18: Please note that Test #3 papers will be returned in the class on Tuesday,
  May 19. I am making available solutions  to the test questions.
May 13: As it was announced in the class yesterday, I will bring the course evaluation
  forms to the class on Thursday, May 14. It is the time for you to be the judge.
  Please come and fill out the evaluation forms.
May 11: Practice exercises for Chapter 17:
  17.1:  #22, 26, 28
  17.2:  #6, 8, 10, 16, 18, 24, 30, 34
  17.3:  #6, 8, 10, 13
  17.4:  #6, 8, 12
  17.5:  #4, 6, 8, 10, 14
  17.6:  #2, 4, 6, 8, 10
  17.7:  #2, 4, 6, 8, 10, 14, 21, 23, 26
  17.8:  #4, 8, 10.
May 01: Please note that Test #3 will take place during the lecture period on Tuesday,
  May 05. On the test you will be responsible for all the material covered in class
  from Sections 13.6, 14.2-14.7, 14.9-14.11, 6.1-6.6, 7.1-7.2 of the textbook.
April 28: Please note that the office hour tomorrow (Wednesday) will be from 2:30
  to 3:30 PM. Sorry for the inconvenience.
April 26: Practice exercises for Chapter 7:
  7.1:  #6, 8, 10, 12
  7.2:  #2, 4, 6, 8, 13, 15, 16
  7.3:  #1, 2.
April 08: Please note that Test #3 will take place during the lecture period on Tuesday,
  May 05. The coverage of the test will be announced at the end of April.
  Practice exercises for Chapter 6:
  6.1:  #1, 12, 20, 21, 26
  6.2:  #12, 35, 36, 40
  6.3:  #21, 22, 24, 26, 28, 31, 60
  6.4:  #14, 16, 18, 20, 22, 24, 26, 28, 29
  6.5:  #12, 14, 16,  18,  20,  22,  24
  6.6:  #8, 12, 14, 24, 26, 28, 32.
March 29: Please note that Test #2 papers will be returned in the class on Tuesday,
  March 31. I am making available solutions  to the test questions.
March 25: Please note that starting this week the Math Lab will be closed on Fridays.
  The revised Math Lab hours are: Monday - Thursday 10:30 A.M. - 3:30 P.M.
March 24: Practice exercises for Chapter 14:
  14.2:  #29, 30, 36, 40, 42, 48, 50, 52
  14.3:  #10, 12, 20, 21
  14.4:  #24-26, 28, 36, 38, 40, 42, 44, 48, 62, 74, 78
  14.5:  #2, 4, 6, 8, 10, 12, 15, 18, 26, 34, 65, 69
  14.6:  #3, 6, 18
  14.7:  #16, 24, 26, 30, 32, 36, 38, 44, 46, 48, 61, 62
  14.9:  #20, 24, 29, 32, 34, 35
  14.10:  #1, 3, 5, 24, 26, 29, 30, 34, 38
  14.11:  #2, 4, 5, 6, 8, 9.
March 12: Please note that Test #2 will take place during the lecture period on Tuesday,
  March 17. On the test you will be responsible for all the material covered in
  class from Sections 5.4-5.5, 10.1-10.4, 11.1-11.5, 12.1-12.5, 12.7 and
  13.1-13.5 of the textbook.
March 05: Practice exercises for Chapter 13:
  13.1:  #2, 12, 14, 16, 36, 56, 58, 60, 62, 64, 68, 70
  13.2:  #8, 10, 12
  13.3:  #10, 12, 26, 32, 42, 52, 60
  13.4:  #4, 6, 8
  13.5:  #4, 6, 8, 10, 16, 26, 28, 30, 42
  13.6:  #3, 13, 14, 15.
February 18: PLEASE NOTE THAT THE ANNOUNCEMENT MADE IN THE CLASS
  YESTERDAY WAS NOT ACCURATE, THE LAST CLASS FOR THE
  FALL TERM WILL TAKE PLACE TOMORROW (THURSDAY,
  FEBRUARY 19). SEE YOU ALL IN THE CLASS TOMORROW.
  SORRY FOR INCONVENIENCE.
February 14: As it was announced in class, Test #2 will take place on Tuesday, March 24.
  Practice exercises for Chapter 12:
  12.1:  #6, 8, 12, 18, 20, 26, 34, 38, 42, 48, 49
  12.2:  #8, 12, 16, 18, 20, 39, 41
  12.3:  #4, 6, 8, 10, 12, 14
  12.4:  #4, 6, 12, 24, 28, 39
  12.5:  #6, 8, 10, 12, 14, 22, 24
  12.7:  #2, 4, 6, 8, 30, 34.
February 02: Please note that the academic disruption due to the strike has been ended.
  Courses and other Academic Activities at the University resume on
  Monday, February 02.
  Welcome back!
  Please see the revised tentative Course Schedule and Course Information.
November 06: PLEASE NOTE THAT CLASSES ARE SUSPENDED DUE TO STRIKE.
  Click here to go to CUPE 3903 Strike mini-site for strike related updates!
October 31: Practice exercises for Chapter 11:
  11.1:  #20, 22, 24, 28
  11.2:  #20, 36, 44, 54, 60, 64, 68, 72, 74, 83, 84, 85, 86, 87, 88
  11.3:  #16, 18, 20, 22, 24, 26, 39, 41
  11.4:  #12, 14, 22, 28, 40, 57, 63, 69, 70, 71
  11.5:  #2, 4, 6, 8, 16, 22, 40, 42, 44, 71, 73.
October 20: Please note that Test #1 papers will be returned in the class on Tuesday,
  October 21. I am making available solutions  to the test questions.
October 17: Practice exercises for Chapter 10:
  10.1:  #1, 3, 6, 14, 16,18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 42
  10.2:  #2, 4, 6, 8, 16, 18, 20, 22, 24, 26, 30, 32, 34, 38, 40, 48, 52, 54, 55, 57
  10.3:  #14, 16, 20, 24, 30, 32, 34
  10.4:  #2, 4, 10, 18.
October 03: As it was announced in the class on Thursday, we will write Test #1 during the lecture
  period on Tuesday, October 07. On the test you will be responsible for all the material
  covered in class from Sections 3.1-3.6, 4.1-4.4 and 5.1-5.3 of the textbook.
September 22: Please note the Math Lab, S525 Ross Building, is open throughout the semester
  from Monday to Friday between 10:30 A.M. and 3:30 P.M. For more information
on the Math Lab please go to: www.math.yorku.ca/new/undergrad/mathlab.htm
  Practice exercises for Chapter 5:
  5.1:  #7, 9, 21
  5.2:  #13, 15, 17, 19
  5.3:  #1, 5, 13, 15, 19
  5.4:  #2, 4, 6, 8, 25, 27, 29
  5.5:  #1, 3, 5, 9, 17, 20, 21.
September 18: Practice exercises for Chapter 4:
  4.1:  #20, 24, 25, 26, 28, 29, 30, 34, 48
  4.2:  #42, 44, 46, 48, 58, 59, 63
  4.3:  #46, 48
  4.4:  #6, 7, 43, 44
September 08: Practice exercises for Chapter 3:
  3.1:  #12, 14, 54, 56, 63, 65, 71
  3.2:  #8, 10, 15, 16, 17, 18,19, 20, 23, 24, 29, 30
  3.3:  #11, 12, 28, 29, 30, 31
  3.4:  #14, 16, 20, 22, 24, 26, 28, 29, 35, 41
  3.5:  #2, 11,12, 13, 16
  3.6:  #6, 7, 8,  12, 14,  16,  17,  19,  21.
September 04: Welcome!
  To view and/or print  PDF  files you need to download the Acrobat Reader 

Course Information

Lectures: Day, Time and Venue: TR 2:30-4:00 P.M., CLH B
Instructor: Name: Dr. Iulduz Raguimov
  Office: S512 Ross Building
  Office Hours: W 16:30-17:30, R 12:00-13:00
  Email: raguimov@mathstat.yorku.ca
  Mailbox: N520 Ross Building
Grading: Three Tests  20% each
  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 more detailed list of topics with references to the textbook, please see Course Schedule.

Textbook:

Introductory Mathematical Analysis, Twelfth Edition

by Ernest F. Haeussler Jr., Richard S. Paul, Richard Wood
Pearson/Prentice Hall, 2008. ISBN 0-13-240422-2
Optional Aid: Student Solutions Manual for Introductory Mathematical
  Analysis, Twelfth Edition
  by C. Trimble and Associates
  Pearson Prentice Hall, 2008. ISBN 0-13-240424-9
Prerequisite: AS/SC/MATH 1515 3.0 or AS/SC/MATH 1520 3.0 (either of these may
also be taken as a first-term corequisite) or OAC Calculus or 12U Advanced
Functions and Introductory Calculus or 12U Calculus and Vectors or equivalent.
Course 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/SC/MATH 1513 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 GL/MATH /MODR 1930 3.0.
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
GL/MATH /MODR 2650 3.0 or equivalent.
   
Important Dates: September 04: Classes commence.
September 18: Last date to enrol in the course without my permission.
October 17: Last date to enrol in the course with my permission.
  Reading Week is cancelled.
  February 19: Fall classes end.
  March 04: Classes resume.
April 03: Last date to drop the course without receiving a grade.
May 19: Last day of classes.
May 22-June 02: Examination period.

Course Schedule

(subject to any changes announced in class)

WEEK

SECTIONS

COMMENTS

Sept 04 Introduction, 3.1 Classes begin on Thursday, September 04. 
Sept 8-12 3.2-3.5  
Sept 15-19 3.6, 4.1-4.3  
Sept 22-26 4.4, 5.1-5.3  
Sept 29-Oct 03 5.4-5.5 No classes will be on Tuesday, September 30.
Oct 06-10 Test #1 Test #1 will take place on Tuesday, October 07.
No classes will be on Thursday, October 09.
Oct 13-17 10.1-10.2  
Oct 20-24 10.3, 13.5, 10.4  
Oct 27-31 11.1-11.3  
Nov 03-07 11.4-11.5  
Feb 02-06 Review, 12.7, 12.3  
Feb 09-13 12.4, 12.1-12.2  
Feb 16-20 12.5, 13.1  
March 05 13.2 Winter classes begin on Thursday, March 05.
March 09-13 13.3-13.6  
March 16-20 Test #2, 14.2-14.3 Test #2 will take place on Tuesday, March 17.
March 23-27 14.4-14.7  
Mar 30- Apr 03 14.9-14.11  
April 06-10 6.1-6.3  
April 13-17 6.4-6.6  
April 20-24 7.1-7.3  
April 27-May 01 17.1-17.3  
May 04-08 17.4-17.5 Test #3 will take place on Tuesday, May 05.
May 11-15 17.6-17.7  
May 19 Review The classes end on Tuesday, May 19.
May 22-June 02 Final Examination TBA.

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


Homework  

Please review Chapters 0-2 of the textbook during the first week of classes. Throughout the term, practice exercises will be announced in class and 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 problems as possible. Do not memorize them. Rather, learn how to solve problems like them. Use the Solutions Manual only after you have tried the problem. There is nothing like a bit of computation to strengthen understanding in mathematics! 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/Test Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam cell phones, digital dictionaries, palms, pagers, computers, and hats with large peaks 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 on the tests and exam are pens, pencils, student ID, a non-graphing, non-programmable calculator and purses. You are responsible for all material covered in lectures.
Note:
You may not use graphing or programmable calculators on the tests and final exam. Photo identification and signing-in are required at all tests and exam.

Final Grade:

The composition of the final grade is as follows: Three Tests (75 minutes each written tests held in lecture period): 20% each. Final Examination (three-hour exam scheduled by the Registrar's Office): 40% of the overall grade, will take place in May-June, during the examination period. All test-marks you receive should be interpreted as raw scores and not "percentages". The statistics of scores will be announced for all tests. Cut-off for converting midterm scores into letter grades will be announced prior to the drop date. Students have seven days from the date of the return of a test paper 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, your lowest grade obtained on any test will be replaced by the mark on the final exam if the final exam grade is higher.

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 tests. Missed tests 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. Do not write a test or the final exam, if you do not feel well. Once you write a test or the final exam that is the score you will receive. 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. 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 for Hawaii or Las Vegas on
May 25 is NOT a legitimate excuse for absence from a final exam on May 28.


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 tests pose such a conflict, students should contact me (raguimov@mathstat.yorku.ca) within the first three 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.

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 Math Program
2-  York University Library


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

© 2008, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified June 08, 2009