Welcome to the Course Page of

AK/MATH  1550 6.0 C

Mathematics with Management

Applications

2007-2008 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.
May 05: 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 Senate.
  Have a nice Summer!
April 03: As it was announced in the review class today, the Final Examination will take
   place in VH 1154.
April 01: Please note that the Final Examination will take place on Monday, April 07,
  from 7:00 to 10:00pm in VH 1154. On the exam you will be responsible for all
  material covered in this course according  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 the end of April.
March 31: As it was announced in the last class, there will be an extra tutorial and review
  class on Thursday, April 03 from 5 to 8pm in N501 Ross. Please note that
  during the review class you may pick up your Test #4 papers.
March 20: As it was announced in the class yesterday, we will write Test #4 during
  the lecture period on Thursday, March 27. 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,
  15.1, 15.7, 17.1-17.6 of the textbook.
March 19: Please note that I will bring the course evaluation forms to the class on
  Thursday, March 20. It is the time for you to be the judge. Please come
  and fill out the evaluation forms.
March 15: 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.
March 07: Practice Exercises for Chapter 15:
  15.1:  4, 6, 8, 10, 12, 14, 20, 28
  15.7:  2, 4, 6, 8.
February 27: Practice Exercises for Chapter 14:
  14.2:  36, 40, 42, 48, 50, 52
  14.3:  10, 12, 20
  14.4:  26, 28, 36, 38, 40, 42, 44, 48, 62, 74, 78
  14.5:  2, 4, 6, 8, 10, 12
  14.6:  6
  14.7:  16, 24, 26, 30, 32, 36, 38, 44, 46, 48, 61, 62
  14.9:  20, 24, 32, 34, 35
  14.10:  1, 3, 5, 24, 26, 30, 34, 38
  14.11:  2, 4, 6, 8.
February 20: Please note that Test #3 papers will be returned in the class on Thursday,
  February 21.
February 01: As it was announced in the class the last Thursday, we will write Test #3 during
  the lecture period on Thursday, February 07. On the test you will be responsible
  for all the material covered in class from Sections 10.2, 10.3, 10.4, 11.1-11.5,
  12.1-12.5, 12.7, 13.1-13.5 of the textbook.
January 29: 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.
January 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.
January 14: Please note the change in my office hours. In Winter term, I will be holding
  the office hours on MWF between 12:00 and 1:00pm.
January 07: Please note that in Winter Term the tutorials for the course will be held
  in VH D from 6:00 to 6:50 P.M.
  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.
January 02: Please note that Test #2 papers will be returned in the class on Thursday,
  January 03.
November 23: As it was announced in the class on Thursday, we will write Test #2 during the lecture
  period on Thursday, November 29. On the test you will be responsible for all the material
  covered in class from Sections 5.5, 6.1-6.6, 7.1-7.3 and 10.1-10.2 of the textbook.
  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.
November 13: Practice Exercises for Chapter 7:
  7.1:  6, 8, 10, 12
  7.2:  2, 4, 6, 8, 13, 15, 16
  7.3:  1, 2.
October 24: Please note that Test #1 papers will be returned in the class on Thursday,
  October 25. I am making available solutions to the test questions.
  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.
October 15: As it was announced in the class on Thursday, we will write Test #1 during the lecture
  period on Thursday, October 18. On the test you will be responsible for all the material
covered in class from Chapters 3, 4 and Sections 5.1-5.4 of the textbook.
September 28: Practice Exercises for Chapters 4 and 5:
  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
  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 17: The first day of the Math Lab is Monday, September 17. The Math Lab, S525 Ross
  Building, will be open throughout the semester from Monday to Friday from 10:30a.m.
  to 3:30p.m. (closed on Monday, October 8 (Thanksgiving)). For more information on
  the Math Lab please go to:  www.math.yorku.ca/new/undergrad/mathlab.htm
September 12: Please note that Tutorials for the course will start on Thursday, September 20.
  As it was announced in the class, the tutorials will take place on Thursdays
  from 6:00 to 7:00 in ACW 004.
  Tutorials are optional. There is no need to register.
  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 06: Welcome!
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Course Information

Lectures: Days, Time and Venue: R 7-10 p.m., ACW 004
Instructor: Name: Dr. Iulduz Raguimov
  Office: S512 Ross Building
  Office Hours: MWF 12:00-1:00 p.m., also by appointment
  Email: raguimov@mathstat.yorku.ca
  Mailbox: N520 Ross Building
Tutorials: Days, Time and Venue: R 6-7 p.m., VH D
Tutorial Leader: Name: Francisco Kibedi
  Email: francisco_kibedi@hotmail.com
Grading: Four Term-Tests  15% 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 a more detailed list of topics with references to the text-book, 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 (may also be taken as a first-term Corequisite)
or OAC Calculus or 12U Advanced Functions and Introductory Calculus
or equivalent.
Course Credit AS/SC/MATH 1000 3.0, or AS/SC/MATH 1013 3.0,
Exclusions: or 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
equivalent.
   
Important Dates: September 06: Classes commence.
September 20: Last date to enrol in the course without my permission.
October 19: Last date to enrol in the course with my permission.
  December 03: Fall classes end.
  January 03: Classes resume.
February 01: Last date to drop the course without receiving a grade.
  February 11-15: Reading Week.
April 03: Last day of classes.
April 07-29: Examination period.

Course Schedule

(subject to any changes announced in class)

WEEK

SECTIONS

COMMENTS

Sept 05-07 Introduction, 3.1, 3.2 Classes begin on Thursday, September 06. 
Sept 10-14 No classes No classes will be on Thursday, September 13.
Sept 17-21 3.3-3.5  
Sept 24-28 3.6, 4.1-4.3  
Oct 01-05 4.4, 5.1-5.2  
Oct 09-12 5.3-5.5  
Oct 15-19 6.1, Test #1 Test #1 will take place on Thursday, October 18.
Oct 22-26 6.2-6.4  
Oct 29-Nov 02 6.5-6.6  
Nov 05-09 7.1-7.2  
Nov 12-16 7.3, 10.1-10.2  
Nov 19-23  10.3, 10.4  
Nov 26-30 11.1, Test #2 Test #2 will take place on Thursday, November 29.
Fall classes end on Thursday, November 29.
Jan 03 11.2-11.5 Winter classes begin on Thursday, January 03.
Jan 07-11 12.1-12.3  
Jan 14-18  12.4, 12.5, 12.7  
Jan 21-25  13.1-13.3  
Jan 28-Feb 01 13.4-13.5  
Feb 04-08  13.6, Test #3 Test #3 will take place on Thursday, February 07.
Feb 11-15  No classes Reading Week.
Feb 18-22  14.2-14.4  
Feb 25-29   14.5-14.7  
March 03-07 14.9-14.11  
March 10-14 15.1, 15.7, 17.1-17.2  
March 17-21 17.3-17.6  
March 24-28   17.7, Test #4 Test #4 will take place on Thursday, March 27.
Mar 31-Apr 03 Review The classes end on Thursday, March 28.
April 07-29 Final Examination Monday, April 07, 7-10pm, VH 1154.

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, 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. Nevertheless, 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 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. I will regularly 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.


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: Four Term-Tests (75 minutes each written tests held in lecture period):   15% each  (Tentative dates for the tests: Thursdays, October 18, November 29 of 2007, February 07 and March 25 of 2008). Final Examination (three-hour exam scheduled by the Registrar's Office):   40% of the overall grade, will take place in April, 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 four term-tests, your lowest mark obtained on any test 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 tests in advance of their scheduled dates. No make-ups will be done for the term-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 class-test  for medical reasons you must turn in  within one week following the test date a copy of the medical report 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 he 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 a copy of the medical report form provided  here after getting it filled in by his/her doctor within one week following the exam date.
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
April 19 is NOT a legitimate excuse for absence from a final exam on April 25.


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) 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-  Study Groups


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

© 2007, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified May 05, 2008