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Dr. Angelo B. Mingarelli, Instructor
Herzberg Physics Office #4250
Tel/Fax: (613) 520 3534
Electronic mail
Textbook:
CalculusSingle VariableEarly Transcendentals, by J. Stewart (packaged with
Chapter 15 and Student Guide), Third Edition, (Brookes/Cole Publishers); available at the
Bookstore... and
The ABC's of Calculus by Angelo B. Mingarelli; Module on Inverse Functions, 80 pp.,
from the Instructor; cost $12.00 net.
Classes begin: Monday, September 9, 1996
Mondays, Tory Bldg. 360, 10:30 a.m.
Wednesdays, Tory Bldg. 360, 0930 a.m.
Fridays, Tory Bldg. 360, 0830 a.m.
Tutorials
Statutory Holiday: Monday, October 14, 1996
Classes end: Monday, December 2, 1996
Test Schedule and Grading: There will be four tests, held during the
tutorial sessions. The best three out of the four tests will count for 40% of
the final grade. The final examination will count for 60% of the final grade.
PLEASE NOTE THAT THE TUTORIAL CENTRE, Herzberg Physics Room 4385, WILL BE
OPENING ON MONDAY, SEPTEMBER 23RD.
HOURS FOR THE CENTRE ARE AS FOLLOWS:
MONDAYS TO THURSDAYS: 10 AM TO 4 PM
FRIDAYS: CLOSED
Detailed Class Outline
Fall 1996
WEEK 
DATES 
TESTS 
SECTIONS 
TOPICS 
1 
Sept.9  Sept.13 
None 
3.1
3.2
3.3 
Exponential functions and their derivatives
Inverse functions
Logarithmic functions 
2 
Sept.16  Sept.20 
None 
3.4
3.5 
Derivatives of logarithmic functions
Exponential growth and decay 
3 
Sept.23  Sept.27 
TEST 1, Tutorial room 
4.9
5.1
5.2 
Antiderivatives
Sigma notation
Area 
4 
Sept.30  Oct.4 
None 
5.3
5.4
5.5 
The definite integral
The fundamental theorem of calculus
The substitution rule 
5 
Oct.7  Oct.11 
None 
7.1
7.2
3.6 
Integration by parts
Trigonometric integrals
Inverse trigonometric functions 
6 
Oct.14  Oct.18 
TEST 2, Tutorial room 
7.3
7.4
7.5 
Trigonometric substitutions
Integration of rational functions by partial fractions
Rationalizing substitutions 
7 
Oct.21  Oct.25 
None 
7.6
7.7
7.8 
Strategy for integration
Using tables of integrals
Approximate integration 
8 
Oct.28  Nov.1 
None 
7.9
6.1
6.2 
Improper integrals
Areas between curves
Volume 
9 
Nov.4  Nov.8 
TEST 3, Tutorial room 
6.3
6.4
6.5 
Volume by cylindrical shells
Work
Average value of a function 
10 
Nov.11  Nov.15 
None 
8.2
8.3
8.4 
Arc length
Area of a surface of revolution
Moments and centers of mass 
11 
Nov.18  Nov.22 
TEST 4, Tutorial room 
8.1
15.1
15.2 
Differential equations
Basic concepts; separable and homogeneous equations
Firstorder linear equations 
12 
Nov.25  Nov.29
Dec.2 
None 
 
R E V I E W 
Access to WWW browsers on campus
The following locations have PC's which, upon login with the word "student" will
give you access to Netscape in its many versions...
Herzberg 3393, ....Our Math. Lab. Only 5 486's carry this option (those nearest the hall
window)
Herzberg 4115, 4125, 4155, 4175.....Computer Science Labs. Please be brief in order to
leave others the chance to access these machines.
There will be NO TUTORIALS this week, Sept.913; tutorials will begin
next week, Sept. 16.
Tutorials are scheduled for Tuesdays, 0930 hrs., in the following locations:
Tutorial 1: Students whose family names begin with the letters AEh... 403 Southam Hall
Tutorial 2: Students whose family names begin with the letters EhL... 406 Southam Hall
Tutorial 3: Students whose family names begin with the letters MShe... 311 Steacie Bldg
Tutorial 4: Students whose family names begin with the letters ShiY... 312 Steacie Bldg
Tutorial 5: TBA
We will try to arrange common group tests on tutorial days; For example a single test
will be handed in by a group of 4 or 5 students all of whose name will appear on the
answer sheet(s)...the test will be graded by the TA and then returned to the students
involved one week later. Please note that these tests will have no impact upon
your final grades.
Notes for the week, Sept. 913, 1996
No additional notes for today, Monday;
Don't forget to purchase your ABC's of Calculus...copies are available in my office
4250 Herzberg at a price of $12, net.
Notes for the week, Sept. 1620, 1996 I noticed that many among you
had difficulty with Problem 4 in your first tutorial. I've posted the answers below...Just
click on the problems whose solutions you want to see:
Tutorial 1: Problems 2, 3 and part of 4
Tutorial 1: Problem 4
Apologies to Lynxbased readers...but you do need a browser to see these
solutions...Well, you could save them locally to your hard drive/diskette and then view
them with Netscape (without Internet software) or some other photo/viewing software
which can read GIF format (Corel Draw, Adobe, Paint Shop Pro, Micrografx Picture
Publisher, ...)
Nevertheless, I have succumbed to internal pressures and have decided to post Solutions
to Tutorial 1 within the glass casing just outside the Mathematics Tutorial Center,
(Herzberg 4385) as of Friday, Sept. 20, 3:30 p.m.
This week you should remember that, most importantly, the study of Calculus is one that
needs to be nurtured...the more you do, the more relaxed you will be about doing problems
in this course. Among the topics we covered, the applications of the Chain Rule to
differentiation of trigonometric and exponential functions are central to your
studies.
Notes for the week, Sept. 30  Oct. 4, 1996 For a set of solutions
to Tutorial 2, which, in some cases was cancelled due to the emergency in
Herzberg this week, check here.
Notes for the week, Oct. 7  Oct. 11, 1996 Don't forget your test is
next Tuesday, Oct. 15. Integration is particularly important.For sample test
questions click here. Have a happy and safe
Thanksgiving weekend.

