Elementary Calculus
Carleton University, Mathematics 69.1007
Updated December 19, 2005Term Grades: as *.pdf files
Problem Set Review for Final examination (70 questions)
Scantron Sheets 2005 for final examination
How
to study for this course (my idea)
How
to study for this course (someone else's idea)
NEW!!
Diagnostic
Test Results
Answers
to Diagnostic Test
NOTE: Homework will be assigned but
NOT
collected.
Additional 2 FREE new Chapters to the text:
******** A
Chapter on Review of Trigonometry
Erratum/Corrigendum:
page 2, box: Replace the square root of 2 there by the
number 1,
page 4, third line of the solution of Example 1 (2): Replace
2Pi/3 by Pi/3.
page 4, last line of the solution
of Example 1 (2): Replace the "sin" there by "cos" and the square
root of 3 by 1,
page 5, Table 1.1: The fourth zero in the first column should be
replaced by 1.
page 8, Figure 18: The angle theta in the picture should extend
from OR to OP and not only to the xaxis.
page 13, Exercise 33: Insert a "+" sign between the two trig functions
on the right.
page 14, Exercise 42: Replace the righthand side by  sin
(theta).
******** A Chapter on Rationalizing Substitutions
Office Hours:
Dr. Mingarelli, Herzberg Building # 4250
Tuesdays and Thursdays, 4:005:30 p.m.
Classes:
MATH 1007 Sec. D:
Tuesdays 5:30 p.m. 7:30 p.m., Room 302, Azrieli Pavillion
Thursdays 5:30 p.m. 6:30
p.m., Room 302, Azrieli Pavillion
2001 CLASS NOTES (from a Whiteboard)
Limits of functions

DATES 






Review your math. definitions 
Review of Trigonometric functions 




Limits, Continuity and Derivatives. Derivatives of Trigonometric Functions. 




Derivatives of Inverse Trigonometric Functions. L'Hospital Rule 


Sep 29 

Implicit differentiation, Exponential and Logarithmic Functions and Their Derivatives 

Oct. 37 


Maximum and Minimum Values. 




First and Second Derivative Test. Curve
Sketching. 


Oct. 20 

Antiderivatives and Indefinite
Integrals, Area Under a Curve, Definite Integrals, 




Fundamental Theorem of Calculus, Integration by substitution. Integration by Parts. 


Nov. 3 

Integration by Partial Fractions. Products and Powers of Trigonometric Functions. 




Trigonometric Substitutions 


Nov 17 

Areas Between two Curves, The Volume of a solid of revolution. 




Laws of Growth and Decay (if time permits) 




Review and Sample Final Exams. 
TEXTBOOK(S):
Calculus, by Angelo B. Mingarelli (The Millennium Series), along
with a Solutions Manual (bundled together). Available at the Bookstore
or at Haven Books on Sunnyside Avenue near the Campus. The current
Edition is dated August 26, 2002.
OR, if you really want to spend more you can buy,
Single
Variable Calculus Early Transcendentals, fiftth edition,
by James Stewart.
In this case, go to the web
site of the coordinator for this course, Dr. Alaca, for
corresponding section locations.
PREREQUISITES:
The prerequisites for this course are:
Ontario Grade 12 Mathematics: Advanced Functions and Introductory
Calculus; or an OAC in Calculus, or
MATH 0007 (formerly 69.007*), or equivalent.
WITHDRAWAL:
The last day for withdrawal from the course is November
07, 2005.
EVALUATION
Your grade will be calculated as:
Tests: 40%. Tutorial Work: 10%. The final examination is 50%.
If you do all the weekly quizzes, homework and tests, as well as the
sample tests and final exams on this website, you'll likely pass (maybe
even Ace it!).
TERM MARK:
There will be four 50minute tests in the tutorial hours on September
29, October 20, November 3, November 17, 2005.
You are expected to take all the tests. No make up, early, or delayed
tests. Any missing test will be counted as zero.
It is your responsibility to pick up your tests in the following
tutorial hours. The average of best
three tests out of four tests will be counted as 40%.
SUPPLEMENTAL EXAMINATION
No Supplemental examinations
CALCULATORS
You may use a nonprogrammable calculator for the examinations
and tests in this course:
One of either Sharp EL531 (usually available in the Bookstore)
or Casio FX991 or any other approved nonprogrammable calculator.
The course instructor reserves the right to disallow any calculator.
Tutorial Work: There will be problem solving sessions during
the Tutorial Hour. At the end of the Tutorial Hour you will requested
to hand in your work in order to be evaluated.
Your Tutorial work during the term will be counted as 10%. Tutorials are on Thursdays from
6:307:30 p.m. You will be
taking your Tests during these hours and only during these hours.
All tutorials usually begin the second week of September (TBA) in
various locations depending on your section and the first letter of
your family name (surname, cognome(n)) or on the
information given to you at registration. Please consult your
Instructor otherwise.
Do I HAVE to go? YES! This is strongly recommended, esp. if
you want your 10%...
Where do I go? Normally your section is given to you at registration time. Otherwise, this depends on your section letter and/or on the first letter of your family name; see the next table for details about which room you'll go to.
D1 Go to 403 SA (Southam Building) T.A. Mingarelli, Chiara (cmfminga@connect.carleton.ca) Consultation: Thursdays, 2221 HP, 56 p.m.
Please note that the mathematics TUTORIAL
or HELP CENTRE,
in Herzberg Physics Building, Room 1160, tunnel level, will be
opening Monday,
Sep. 19
Tutors advertise frequently on the Notice Boards
around the Centre.
Hours for the center are as follows:
MONDAYS TO THURSDAYS: 10 AM TO 4 PM
FRIDAYS: CLOSED



Week 0 
Exercise Set 1, pages 1314 of Quick Trigonometry Review pdf file 

Week 1 

All Exercise sets in stated sections 
Week 2 

All Exercise sets in stated sections 
Week 3 

All Exercise sets in stated sections 
Week 4  All Exercise sets in stated sections 

Week 5 and 6 
Old Test 2  Solutions 

Week 7 and 8 


Week 9 
Old Test 3  Solutions 

Week 10 
Old Test 4 

Week 11 


Week 12 

