Welcome to the Course Page of

AK/MATH  1550 6.0 A

Mathematics with Management

Applications

SU 2006

 

School of Analytic Studies and Information Technology
Atkinson Faculty of Liberal and Professional Studies
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.
 
August 21: 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.
August 02: Please note that Test #4 papers will be returned in the class on Thursday,
  August 03.
July 31: Please note that the Final Examination will take place on Tuesday, August 8
  from 19:00 to 22:00 in VH 3006. To the exam in addition to your calculator
  and writing supplies you can bring an information sheet, which is a single sheet
  of paper, 21.6 cm by 28 cm, with writings on both sides, but without flaps
  or layers. The information sheet can't be shared.
  Please also note that I will bring the course evaluation forms to the class on
  Tuesday, August 01. It is the time for you to be the judge. Please come and
  fill out the evaluation forms.
July 21: We will write Test #4 during the lecture period on Thursday, July 27th.
  On the test you will be responsible for all the material covered in class from
  Sections 14.2 - 14.8, 14.10 - 14.12, 15.1, 15.7, 17.1 - 17.3 of the text-book.
  Practice Problems Set 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.
July 17: Please note that Test #3 papers will be returned in the class on Tuesday,
  July 18.
  Practice Problems Set for Chapter 15:
  15.1:  4, 6, 8, 10, 12, 14, 20, 28
  15.7:  2, 4, 6, 8.
July 12: Practice Problems Set 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:  4, 6, 20
  14.7:  6
  14.8:  16, 24, 26, 30, 32, 36, 38, 44, 46, 48, 61, 62
  14.10:  20, 24, 32, 34, 35
  14.11:  1, 3, 5, 24, 26, 30, 34, 38
  14.12:  2, 4, 6, 8.
  Please note that the next week I will be holding an office hour on Tuesday,
  July 18 from 4:00 to 5:00 PM instead of Wednesday, July 19.
July 03: We will write Test #3 during the lecture period on Thursday, July 6th.
  On the test you will be responsible for all the material covered in class from
  Sections 10.5, 11.1 - 11.6, 12.1 - 12.5, 12.7, 13.1 - 13.6 of the text-book.
  Practice Problems Set 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.
June 29: Practice Problems Set 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.
June 21: Please note that Test #2 papers will be returned in the class on Thursday,
  June 22.
  Practice Problems Set 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
  11.5:  12, 14, 22, 28, 40, 57, 63, 69, 70, 71
  11.6:  2, 4, 6, 8, 16, 22, 40, 42, 44, 71, 73.
June 13: We will write Test #2 during the lecture period on Thursday, June 15th.
  On the test you will be responsible for all the material covered in class from
  Sections 6.1 - 6.6, 7.1 - 7.3, 10.1, 10.2 and 10.4 (inclusive) of the text-book.
  Practice Problems Set 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, 54, 56
  10.4:  14, 16, 20, 24, 30, 32, 34
  10.5:  2, 4, 10, 18.
June 09: Practice Problems Set for Chapter 7:
  7.1:  6,  8,  10,  12
  7.2:  2,  4,  6, 8,  13,  15,  16
  7.3:  1,  2.
June 05: Please note that Test #1 papers will be returned in the class on Tuesday,
  June 06.
May 26: Please note that there are no classes the next week. York University will
  be hosting The 2006 Congress of the Humanities and Social Sciences.
May 19: Practice Problems Set 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
  6.7:  1, 3.
May 12: We will write Test #1 during the lecture period on Thursday, May 18th.
  On the test you will be responsible for all the material covered in class from
  Chapters 3, 4 and 5 (inclusive) of the text-book.
  Practice Problems Set 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.
  Practice Problems Set for Chapter 5:
  5.1:  7, 9, 21
  5.2:  13, 15, 17, 19
  5.3:  2, 4, 6, 8, 25, 27, 29
  5.4:  1, 5, 19.
May 05: Please note that Tutorials for the course will start on Tuesday, May 09.
  As it was announced in the class yesterday, the tutorials will take place
  on Tuesdays and Thursdays from 17:00 to 18:00 in VH B.
  Tutorials are optional. There is no need to register.
  Practice Problems Set 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.
 May 02: Welcome!
To view and/or print  PDF  files you need to download the free Acrobat Reader 

Course Information

Lectures: Days, Time and Room: T/R 18:00-21:00, ACE 001 
Instructor: Name: Dr. Iulduz Raguimov
  Office: S512 Ross Building
  Phone: x66092
  Office Hours: W 15:30-16:30, R 16:00-17:00, also by appointment
  Email: raguimov@mathstat.yorku.ca
Tutorials: Days, Time and Room: T/R 17:00-18:00, VH B
TA: Name: Jin Wang
  Email: wangjin@mathstat.yorku.ca
Grading Four Class-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.

Text-book:

Introductory Mathematical Analysis, Eleventh Edition

by Ernest F. Haeussler Jr., Richard S. Paul, Richard Wood
Pearson Prentice Hall, 2005. ISBN 0-13-113948-7
Optional Aid: Student Solutions Manual for
  Introductory Mathematical Analysis, Eleventh Edition
  by Ernest F. Haeussler Jr., Richard S. Paul, Richard Wood
  Pearson Prentice Hall, 2005. ISBN 0-13-113949-5
Course Prerequisites: 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.
Degree-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: May 02: Classes commence.
May 12: Last date to enrol in the course without my permission.
May 19: Last date to enrol in the course with my permission.
July 04: Last date to drop the course without receiving a grade.
August 03: Last day of classes.
August 08-18: Examination period.

Course Schedule

(subject to any changes announced in class)

WEEK

SECTIONS 

COMMENTS

May 2-4 Introduction, 3.1, 3.2, 3.3, 3.4, 3.5 Classes begin on Tuesday, May 02.
May 9-11 3.6, 4.1, 4.2, 4.3, 4.4, 5.1, 5.2, 5.3  
May 16-18 5.4, 6.1, 6.2, 6.3, 6.4, Test #1 Test #1 will take place on Thursday, May 18.
May 23-25  6.5, 6.6, 6.7, 7.1, 7.2, 7.3  
May 30-June1 No classes  
June 6-8  10.1, 10.2, 10.4, 10.5, 11.1, 11.2  
June 13-15  11.3, 11.4, 11.5, 11.6, Test #2 Test #2 will take place on Thursday, June 15.
June 20-22  12.1, 12.2, 12.3, 12.4, 12.5, 12.7  
June 27- 29 13.1, 13.2, 13.3, 13.4, 13.5  
July 4-6 13.6, 14.2, 14.3, 14.4, Test #3 Test #3 will take place on Thursday, July 6.
July 11-13 14.5, 14.6, 14.7, 14.8, 14.10, 14.11  
July 18-20 14.12, 15.1, 15.7, 17.1, 17.2, 17.3  
July 25-27 17.4, 17.5, 17.6, 17.7, Test #4 Test #4 will take place on Thursday, July 27.
August 1-3 17.8, 17.10, Review Classes end Thursday, August 3.
August 8-18 Final Examination Tuesday, August 08, 19:00 - 22:00 in VH 3006.

Homework  

Please review Chapters 0-2 of the text-book 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. While these will not directly affect your grade, 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 text-book 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 text-book. 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 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 Class-Tests (70 minutes each written tests held in lecture period):   15% each  (Tentative dates for the tests: Thursdays, May 18,  June 15, July 06 and July 27).
Final Examination
(three-hour exam scheduled by the Registrar's Office):   40% of the overall grade, will take place on Tuesday, August 08, 19:00 - 22:00 in VH 3006.
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. The lowest mark obtained on any  class-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 class-tests.  Missed tests will be counted as zero, except under extreme circumstances. If an acceptable reason, with appropriate documentation, is given for having missed test, the mark for that test will be determined by the final examination mark. What is an acceptable reason? A brief note from a doctor is not acceptable, because some doctors will write such notes without careful consideration. What is needed from the doctor is a detailed, typed and signed letter, indicating what the illness was, and also why that illness prevented the student from writing the test. I also may require a telephone conversation with the doctor to verify matters, so the student will have to give the doctor a permission to discuss the matter with me. At the same time, 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 School of Analytic Studies & Information Technology (Mathematics Department, Room 2005, TEL Building, Tel: 416-736-2100, Ext. 33203; Fax: 416-736-5188) in advance that the exam will be missed,
    2) the student provides a medical certificate showing a physical incapability of writing the exam within one week following the exam.
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 Las Vegas
or Hawaii on August 14 is NOT a legitimate excuse for absence from a final exam on August 17.


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 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 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

© 2006, All Rights Reserved, York University & Iouldouz S. Raguimov

Last modified August 21, 2006