Welcome to the Course Page of

AS/SC/MATH 1505 6.0 G

Mathematics for the Life

and  Social Sciences

2007-2008 Full Year


Department of Mathematics and Statistics
York University
4700 Keele Street
Toronto, Ontario  M3J 1P3

Course Organization:


Course Information

Course Schedule


Exams  Information

Links & Other Resources


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.

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 10:

Please note that the Final Examination will take place on Thursday, April 17


from 9:00am to 12:00pm in Tait McKenzie Student Fieldhouse (East and West).


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. 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 May 06.


During the examination period the Math Lab will be open from 11:00am to 3:00pm


only on the following days: Friday, April 11, Tuesday, April 15, Wednesday, April 16,


Friday, April 18 and and Tuesday, April 22. Also, please note that I will be holding


an extra office hour for last minute questions on Wednesday, April 16 form 12 to 1pm.

April 02:

Please note that Test #5 papers will be returned in the class on Friday,


April 04. I am making available solutions  to the test questions.

March 20:

Please note that we will write Test #5 during the lecture period on Wednesday,


March 26 in CLH K. On the test you will be responsible for all the material covered


in class from Sections 6.3.1, 7.1-7.3, 7.4.1-7.4.2, 9.1 and 12.1 of the textbook.

March 18:

Please note that I will bring the course evaluation forms to the class on


Wednesday, March 19. It is the time for you to be the judge. Please come


and fill out the evaluation forms.

March 15:

Practice Exercises for Chapter 12:


12.1:  All odd-numbered exercises


12.2:  All odd-numbered exercises


12.3:  #1-33 (odd-numbered exercises).

March 07:

Practice Exercises for Chapter 9:


9.1:  #1-17 (odd-numbered exercises).

February 29:

Please note that Test #4 papers will be returned in the class on Monday,


March 03. I am making available solutions  to the test questions.

February 27:

Practice Exercises for Chapter 7:


7.1:  All odd-numbered exercises


7.2:  #1-29, 39-47 (odd-numbered exercises)


7.3:  All odd-numbered exercises


7.4:  #1-27 (odd-numbered exercises).

February 11:

Please note that we will write Test #4 during the lecture period on Wednesday,


February 20 in CSE A. On the test you will be responsible for all the material


covered in class from Sections 5.3, 5.4, 5.8, 6.1 and 6.2 of the textbook.

January 29:

Practice Exercises for Chapter 6:


6.2:  #1-121 (odd-numbered exercises), 125


6.3: #1-15.

January 22:

Please note that Test #3 papers will be returned in the class on Wednesday,


January 23. I am making available solutions  to the test questions.

January 14:

Please note that the tutorials for the course this semester begin on Monday,


January 14. They will take place on:


Monday, 2:30 - 3:30 pm in 224 Stong (Tutorial Leader: Prof. Buks van Rensburg)


Tuesday, 9:00 - 11:00 am in 323 Bethune (Tutorial Leader: Prof. Jorg Grigull)


Tuesday, 6:00 - 7:00 pm in 224 Stong (Tutorial Leader: Prof. Buks van Rensburg).


Please also 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 09:

As it was announced in the class today, Test #3 will cover the material


from Sections 4.4-4.8, 5.1 and 5.2 of the textbook.

January 07:

Please note that the date for Test #3 has been changed. It will be written


during the lecture period on Monday, January 14 in CSE A.


Please also note that starting Wednesday, January 9 the lectures will be held


in Curtis Lecture Hall "K". We apologize for the problem this morning.

December 03:

Practice Exercises for Chapter 5:


5.1:  All odd-numbered exercises


5.2:  All odd-numbered exercises


5.3:  All odd-numbered exercises


5.4:  #1-19 (odd-numbered exercises)


5.8:  #1-65 (odd-numbered exercises).


Have an enjoyable holiday!

November 17:

Please note that Test #2 papers will be returned in the class on Monday,


November 19. I am making available solutions to the test questions.

November 02:

Please note that we will write Test #2 during the lecture period on Wednesday,


November 07 in two class rooms, as follows:


- surname starting with A - K: CLH H,


- surname starting with L - Z: CLH G.


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


Sections 3.1-3.5, 4.1-4.3 of the textbook.


Also, please note that for the next week Tuesday 6-7pm and Friday 1:30-2:30pm


tutorials have been cancelled. On Tuesday, November 6th I will be in the office


between 4 and 6 pm. Please drop by if you have any questions. Sorry for the



October 24:

Practice Exercises for Chapter 4:


4.1:  #9-33 (odd-numbered exercises), 43


4.2:  All odd-numbered exercises


4.3:  All odd-numbered exercises


4.4:  #1-57, #61-87 (odd-numbered exercises)


4.5:  #1-71 (odd-numbered exercises)


4.6:  All odd-numbered exercises


4.7:  All odd-numbered exercises


4.8:  All odd-numbered exercises.

October 12:

Please note that Test #1 papers will be returned in the class on Monday,


October 15. I am making available solutions to the test questions.

October 04:

Practice Exercises for Chapter 3:


3.1: Evaluate the following limits #1-31, 37-53


3.2:  All odd-numbered exercises


3.3:  All odd-numbered exercises


3.4:  #5-17 (odd-numbered exercises)


3.5:  #1-11 (odd-numbered exercises).

September 28:

Please note that we will write Test #1 during the lecture period on Wednesday,


October 03 in two class rooms, as follows:


- surname starting with A - K: CLH H,


- surname starting with L - Z: CLH G.


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


Sections 1.1.1-1.1.5, 1.2.1-1.2.8 and 1.3.1 of the textbook.

September 24:

Please note that on Tuesday, September 25 the office hours will be held


from 5:00 to 7:00 p.m. Sorry for the inconvenience.

September 18:

Practice Exercises for Chapter 1:


1.1:  #1-83 (odd-numbered exercises)


1.2:  #1, 3, 7-13, 27, 31, 43, 57-63, 69-87 (odd-numbered exercises)


1.3.1:  #1-19, 23-31 (odd-numbered exercises).

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 10:

To view Diagram of Angles and Radians of the Unit Circle please click here.

September 07:


To view and/or print  PDF  files you need to download the Acrobat Reader 

Course Information



Fall/Winter 2007-2008






MWF 10:30 - 11:20pm, CLH H



Dr. Iulduz Raguimov



S512 Ross



416-736-2100, Ext. 66092


Office Hours:

MWF 12:00-1:00 p.m., also by appointment






M 2:30-3:30pm, SC 224;
T 9-11am, BC 323; 6-7pm, SC 224

Tutorial Leaders:


Professor Buks van Rensburg






Professor Jorg Grigull





Five Term-Tests:

12% each


Final Examination:


Course Description: This course is designed for students in programs that only require 6 credits of mathematics. It combines selected material from other courses in calculus, linear algebra, probability and statistics, with applications given to the life and social sciences. Topics include derivatives of algebraic and transcendental functions with applications to maxima and minima and rates of growth, techniques of integration, applications of the integral, simple ordinary differential equations, systems of linear equations, sample spaces, discrete and continuous probability distributions. The course is designed to provide a comprehensive mathematical background for students of the biological and social sciences. Emphasis is placed on basic mathematical skills and their applications. For a more detailed list of topics with references to the textbook, please see Course Schedule.


Calculus for Biology and Medicine, Second Edition

by Claudia Neuhauser

Pearson/Prentice Hall, 2004. ISBN 0-13-045516-4

Course Prerequisites:

At least one OAC or 12U in Mathematics or AS/SC/MATH 1510 6.0.


Course Credit

AS/SC/MATH 1000 3.0 or AS/SC/MATH 1010 3.0, or AS/SC/MATH 1013 3.0, or


AS/SC/MATH 1014 3.0, or AS/SC/AK/MATH 1300 3.0, or AS/SC/AK/MATH 1310 3.0,


or AS/MATH 1530 3.0, or AS/MATH 1540 3.0, or AS/AK/MATH 1550 6.0, or

AS/ECON 1530 3.0, or AS/ECON 1540 3.0.


Important Dates:

September 05: Classes commence.

September 20: The last date to enrol in the course without my permission.

October 19: The last date to enrol in the course with my permission.

December 03: Fall classes end.


January 04: Classes resume.


February 01: The last date to drop the course without receiving a final grade.

February 11-15: Reading Week.


April 02: Classes end.

April 07-29: Examination period.

Course Schedule

(subject to any changes announced in class)




Sept 05-07

Introduction, 1.1.1-1.1.3

Classes begin on Wednesday, September 05.

Sept 10-14

1.1.4-1.1.5, 1.2.1-1.2.3,

No classes will be on Friday, September 14.

Sept 17-21



Sept 24-28

1.2.8, 1.3.1


Oct 01-05

3.1, Test #1

Test #1 will take place on Wednesday, October 03.

Oct 09-12

3.2, 3.3

No classes will be on Monday, October 08.

Oct 15-19

3.4, 3.5


Oct 22-26

4.1, 4.2


Oct 29-Nov 02

4.3, 4.4


Nov 05-09

4.4, Test #2, 4.5

Test #2 will take place on Wednesday, November 07.

Nov 12-16

4.5, 4.6


Nov 19-23 

4.6, 4.7


Nov 26-30

4.8, 5.1


Dec 03


Fall classes end on Monday, December 03.

Jan 04


Winter classes begin on Friday, January 04.

Jan 07-11



Jan 14-18 

Test #3, 5.4, 5.8

Test #3 will take place on Monday, January 14.

Jan 21-25 



Jan 28-Feb 01



Feb 04-08 



Feb 11-15 

No classes.

Reading Week.

Feb 18-22 

Test #4, 7.1

Test #4 will take place on Wednesday, February 20.

Feb 25-29  

7.2-7.3, 7.4.1


March 03-07

7.4.2, 9.1


March 10-14



March 17-21

12.1.4, 12.2.1

No classes will be on Friday, March 21.

March 24-28  

12.2.2, Test #5, 12.3.1

Test #5 will take place on Wednesday, March 26.

Mar 31-Apr 04

12.3.2-12.3.4, Review

The classes end on Friday, April 04.

April 07-29

Final Examination

Thursday, April 17 from 9:00 to 12:00pm.

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


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. Nevertheless, it is extremely important that you complete as many problems as possible. 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. 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. 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/Exam Rules:

Please turn off all cell phones and pagers before entering the lecture hall. For tests and exam cell phones, digital dictionaries, palms, 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 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: Photo identification and signing-in are required at all tests and exam.

Final Grade:

The composition of the final grade is as follows:
Five Term-Tests (50 minutes each written tests held in lecture periods): 12% each (Tentative dates for the tests: Wednesdays, October 03 and November 07 of 2007,  Monday, January 14, and Wednesdays, February 20 and March 26 of 2008).
Final Examination
(3-hour exam scheduled by the Registar'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 five 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 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 notes 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 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:

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.


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-   Links to Calculus sites
2-  York Undergraduate Math Program
3-  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