Welcome to the Course Page of

AS/SC/MATH 1505 6.0 A

Mathematics for Life

and Social Sciences

Summer 2004


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 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 26: Click to see unofficial (preliminary) grades for the course. Please note that
  your official grade will be sent to you by the Registrar's Office upon the approval
  by the Senate.
August 07: Final Examination will take place on Wednesday August 11th from 12:00 to 15:00
  in SLH A. Please note that on the Final Examination you are not responsible for the
  material of Section 12.5 of the textbook.
Week of August 01: Monday: Civic Holiday (University closed).
  Wednesday: The Binomial Distribution was covered. Then we presented the solutions
  to Class Exam #3 and reviewed the material for the Final Exam.
Week of July 25: Monday: Subsections 12.2.2, 12.3.1-12.3.2.
  Wednesday: Subsections 12.3.3-12.3.4, 12.4.1-12.4.2.
July 26: Exam #3 papers will be returned at the end of class on Wednesday, July 28th.
  Please click to view  solutions  to the exam questions.
Week of July 18: Monday: Section 9.1.
  Wednesday: Section 12.1, Subsection 12.2.1.
  I will bring the course evaluation forms to the class on Monday, July 26th.
  It is the time for you to be the judge. Please come and fill out the evaluation
July 19: Please note that additional tutorials for the course will take place on Wednesdays,
   from 12:00 to 1:00pm in N501 Ross. A Tutorial Leader for these tutorials
  is Shufang Wang.
Week of July 11: Monday: Sections 7.1, 7.2, 7.3 (up to Example 7 on page 421).
  Wednesday: Class Exam #3.
July 08: Class Exam #3 will take place on Wednesday, July 14th from 2 to 4:30pm
  in CLH I. On the exam you will be responsible for the material of 
  Sections 5.1-5.4, 6.1-6.2, 6.3 (Areas only) and 7.1 of the text.
  Please note that no office hours will be held on Monday, July 12th and
   there will be no Tutorial on Wednesday, July 14th.
Week of July 04: Monday: Section 6.1 (Properties of the Riemann Integral),
  Section 6.2 (the FTC - Part I).
  Wednesday: Section 6.2 (Antiderivatives and Indefinite Integrals,
  the FTC - Part II), Section 6.3 (Areas).
July 02: Exam #2 papers will be returned at the end of class on Monday, July 5th.
  Please click to view  solutions  to the exam questions in PDF format.
Week of June 27: Monday: Section 5.3.
  Wednesday: Section 5.4 and  Section 6.1 (up to Properties of the
  Riemann Integral).
Week of June 20: Monday: Class Exam #2, Section 5.1 (we finished covering the Extreme
  Value Theorem and began covering Fermat's Theorem).
  Wednesday: Section 5.1 (the Mean Value Theorem), Section 5.2.
June 16: Please note that Class Exam #2 will take place on Monday, June 21
  in two class rooms, as follows:
  - family name starting with A-L: CLH H
  - family name starting with M-Z: CLH K.
  Coverage of the exam is all the material covered in class from
  Sections 3.4-3.5 and 4.1-4.8 of the text.
Week of June 13: Monday: Sections 4.5, 4.6.
  Wednesday: Sections 4.7, 4.8.
Week of June 06: Monday: Sections 4.2, 4.3.
  Wednesday: Sections 4.4, 4.5 (Derivatives of sin and cos functions).
June 08: Exam #1 papers will be returned at the end of class on Wednesday, June 9th.
  Please click to view  solutions  to the exam questions in PDF format.
Week of May 30: Monday: We presented the solutions to the class exam. Then, finished
  covering Sections 3.4 and covered Section 3.5.
  Wednesday: We introduced  Examples 2 and 3 from Section 3.6 and then,
  covered Section 4.1.
Week of May 23: Monday: Victoria Day (University is closed).
  Wednesday: Class Exam #1, Sections 3.4 (we began covering the Sandwich
  Theorem and left trigonometric limits for the next week).
May 21: Please note that Class Exam #1 will take place on Wednesday, May 26
  in two class rooms, as follows:
  - family name starting with A-K: CLH H
  - family name starting with L-Z: VH B.
  Coverage of the exam is all the material covered in class from the text
  according to the Course Schedule.
Week of May 16: Monday: Subsection 2.3.4, Section 3.1.
  Wednesday: Sections 3.2 and 3.3.
May 14:  Tutorials will take place on Mondays from 1:00 to 1:50pm and Wednesdays
  from 5:00 to 6:00pm in N501 Ross.
Week of May 09: Monday: Subsections 1.2.7-1.3.1, 2.1.1-2.1.2.
  Wednesday: Subsection 2.1.3, Section 2.2, Subsection 2.3.1.
Week of May 02: Monday: Background Test, Section 1.1 Preliminaries (no complex numbers) .
  Wednesday: Section 1.2 Elementary Functions, Subsections 1.2.1-1.2.6.
 May 03:  Welcome back!
To view and/or print  PDF  files you need to download the free Acrobat Reader 

Course Information

Course: Session: 2004 Summer
  Section: A
  Lectures: MW 2:00 - 4:50pm, CLH H
Instructor: Name: Iulduz Raguimov
  Office: S512 Ross
  Phone: x66092
  Office Hours: M 5:30-7:00pm, also by appointment
  Email: raguimov@mathstat.yorku.ca  
  Tutorials: M 1:00 - 1:50pm, W 12:00 - 1:00pm, 5:00 - 6:00pm, N501 Ross
Tutorial Leaders: Name: Iulduz Raguimov
  Name: Shufang Wang
TAs: Name: Jianfu Ma
  Name: Qiang Guo
  Name: Lu Ye
Grading Three Class Exams  60%
  Final Examination 40%

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 and statistics, with applications given to the life 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.
Degree-credit AS/SC/MATH 1000 3.0 or AS/SC/MATH 1010 3.0, or AS/SC/MATH 1013 3.0, or
Exclusions: 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: May 03: Classes commence.
May 14: Last date to enrol in the course without my permission.
May 20: Last date to enrol in the course with my permission.
May 24: Victoria Day (University is closed).
June 28: Last date to drop the course without receiving a final grade.
July 01: Canada Day (University is closed). 
  August 02: Civic Holiday (University is closed).
August 04: Last day of classes.
August 09: Final examinations start.

Course Schedule

(subject to any changes announced in class)




May 03-07 Introduction, 1.1, 1.2 Classes begin Monday, May 03. 
May 10-14 1.3.1, 2.1, 2.2 Tutorials begin Wednesday, May 12.
May 17-21 2.3, 3.1, 3.2  
May 24-28 3.3, Exam #1 Exam #1 will take place on Wednesday, May 26.
No classes will be on Monday, May 24.
May 31-June 04 3.4, 3.5, 4.1, 4.2  
June 07-11  4.3, 4.4, 4.5  
June 14-18   4.6, 4.7, 4.8  
June 21-25   5.1, 5.2,  Exam #2 Exam #2 will take place on Monday, June 21.
June 28-July 02  5.3, 5.4, 6.1  
July 05-09  6.2, 6.3.1, 7.1  
July 12-16  7.2, 7.3, Exam #3 Exam #3 will take place on Wednesday, July 14.
July 19-23 9.1, 12.1, 12.2  
July 26-30   12.3, 12.4  
August 02-06 12.5, Review No classes will be on Monday, August 02.
The classes end Wednesday, August 04.
August 09-17   Final Examination: August 11, 12:00 - 3:00pm, SLH A.

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


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. 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 the odd numbered exercises) 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.

Exams Information

Lecture/Exam 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: Photo identification and signing-in are required at all examinations.

Final Grade:

The composition of the final grade is as follows:
Three Class Exams (120 minutes each written exams held in the lecture period):   60%  (Wednesday, May 26, Monday, June 21 and Wednesday July 14, 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. Students have seven days from the date of the return of an exam paper to appeal their marks. Cut-off for converting midterm scores into letter grades will be announced prior to the drop date.

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 a 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 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 or 33969) 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 a responsibility of a student 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
August 15 is NOT a legitimate excuse for absence from a final exam on August 20.

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 the end of the second week of classes. Please note that if the final exam date poses a conflict, students must complete an Examination 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 exams. 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

© 2004, All Rights Reserved, York University & Iouldouz S. Raguimov

This page last updated August 26, 2004