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Detailed class schedule
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Dr. Angelo B. Mingarelli, Instructor
Herzberg Physics Office #4250
Tel/Fax: (613) 520 3534
Electronic mail
TEXTBOOK:
Calculus-Single Variable-Early Transcendentals, by J. Stewart (packaged with
Chapter 15 and Student Guide), Third Edition (Second Edition is also OK), (Brookes/Cole
Publishers); available at the Bookstore... and, highly recommended is my...
The ABC's of Calculus by Angelo B. Mingarelli; Module on Inverse Functions, 80 pp.,
from the Instructor; cost $12.00 net.
TOPICS COVERED:
Third Edition: Sections 2.1-2.6 & 2.10, 3.1-3.6 & 3.8,4.5,5.1-5.5,
6.1&6.2,7.1,7.2,7.4,7.8,8.1
Second Edition: Sections 2.1-2.6 & 2.10, 3.1-3.7 & 3.9,4.5,5.1 - 5.6,
6.1&6.2,7.1,7.2,7.4,7.8,8.1
PREREQUISITES:
The prerequisites for this course are:
(1) Ontario Grade 12 Advanced Level Mathematics, or Carleton University69.006*, or former
Ontario Grade 13 Functions,
(2) Ontario OAC Calculus, or Carleton University 69.007*, or approvedequivalent. Students
who have not passed the prerequisitecourse may beautomatically deregistered during the
term. Those that have done poorly in theprerequisites are strongly urged to take 69.007*
before attempting 69.107*.Do get advicefrom the instructor or from the Mathematics
Undergraduate Advisor KenSmall, in 4380 Herzberg Building.
EVALUATION
Your grade will be calculated either as:
(i) Term Mark 40%;
(ii) Final Examination 60%
OR, if you have at least 20/40 for the term,
Final Examination 100% whichever is better.
In any event, your final course grade is the larger of the two numbers: (i)+(ii) and
(iii).
TERM MARK:
The term mark will be derived from:
(a) 9 tutorial problem sets (10/40): best 6 of 9;
(b) 4 Assignments (15/40): Assgn 4 and best 2 of Assgn 1, Assgn 2 andAssgn 3 tocount.
(c) 3 tests (15/40): Test 3 and better of Test 1 and Test 2 to count.
Note:The "best x of y" rules allow you to miss someof the term
eventsfor any reason (medical or otherwise). The final examination mark will beused to
replace Assgn 4 or Test 3 if these are missed for legitimate and substantiated reasons.
SUPPLEMENTAL EXAMINATION
The supplemental examination for this course is the final examination for69.107* inApril,
1997. A supplemental examination replaces the final examinationmark in the
gradecalculation. A supplemental examination will not be allowed in cases wherethe term
workis unsatisfactory or the final examination mark is extremely low.
CALCULATORS
You may use any non-programmable calculatorfor the examinations and tests in this
course.
WITHDRAWAL
The last date for withdrawal from the course is November 8, 1996. If youdecide to
leave to course before the end of term, it is much better, in terms of your academic
carreer, to formally withdraw from the course thanto simplyignore it and get an FNS.
CLASSES BEGIN: Monday, September 9, 1996
LECTURE SCHEDULE:
Mondays, Steacie Bldg. 103, 3:30 p.m.
Wednesdays, Steacie Bldg. 103, 2:30 p.m.
Thursdays, Steacie Building 103, 4:30 p.m.
TUTORIALS:
Fridays, Tutorial section 1: Family names beginning with the letters A-L; Southam Hall,
505
Fridays, Tutorial section 2: Family names beginning with the letters M-Z; Southam Hall,
STATUTORY HOLIDAY: Monday, October 14, 1996
CLASSES END: Monday, December 2, 1996
TUTORIAL CENTRE:
Please note that the mathematics TUTORIAL CENTRE, in Herzberg Physics Building,
Room 4385, will be opening on
MONDAY, SEPTEMBER 23RD.
Hours for the center 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 |
2.1, 2.2, 2.6 |
What is Calculus? Derivatives: Definition, rules, implicit
differentiation |
| 2 |
Sept.16 - Sept.20 |
Assign.1 given |
2.4, 2.10, 3.9 |
Derivatives of trigonometric functions, Newton's method, L'Hopital's rule |
| 3 |
Sept.23 - Sept.27 |
Assign.1 due, |
3.1, 3.2, 3.3,
3.4, 3.5, 4.1-4.5 |
Exponential and logarithmic functions,
curve sketching |
| 4 |
Sept.30 - Oct.4 |
TEST 1
Tutorial room |
3.5, 3.6, 3.9 |
Logarithmic differentiation
using L'Hopital's rule,
Exponential growth and decay,
simple differential equations |
| 5 |
Oct.07 - Oct.11 |
Assign.2 given |
3.6 |
Inverse trigonometric functions, word problems |
| 6 |
Oct.14 - Oct.18 |
Assign 2, due |
4.8, 5.3-5.5, 7.8 |
Definite Integrals, Fundamental theorem
of Calculus, numerical integration |
| 7 |
Oct.21 - Oct.25 |
Test 2
Tutorial Room |
7.3, 7.5-6 |
Integration by substitution
(change of variable) |
| 8 |
Oct.28 - Nov.1 |
Assign. 3 given |
6.1, 7.2-3 |
Inverse trigonometric integrals
Area between curves |
| 9 |
Nov.04 - Nov.08 |
Assign. 3 due |
6.2-3 |
Integration by parts
Volume by cylindrical shells |
| 10 |
Nov.11 - Nov.15 |
TEST 3
Tutorial Room |
6.2-3, 7.2 |
More volumes, trigonometric integrals |
| 11 |
Nov.18 - Nov.22 |
Assign. 4 given |
7.4, 15.1-2 |
Partial fractions, separable differential equations |
| 12 |
Nov.25 - Nov.29
Dec.2 |
Assign. 4 due |
15.3-4 |
More differential equations
R E V I E W or enrich |

Notes for the Week of Sept. 9
Things to remember: Not every continuous function is
differentiable...remember K. Weierstrass gave an example of a function (over 100 years
ago) which is continuous at every point of the real line but does not have a derivative anywhere!.
If you want to "see" this example, look at the book by E.C. Titchmarsh entitled Theory
of Functions, Oxford University Press (1930's).
Remember that fractals also give rise to examples of nowhere differentiable curves.
Check out the following URL for a cool fractal page.
Any Calculus book can be used in conjunction with this course...We only use Stewart for
reference purposes, basically.
Notes for the Week of Sept. 16
There are Netscape browsers available in the Herzberg Building...Click here for further details.
Notes for the Week of Sept. 30
Those among you with the second edition of Stewart may consult the following sections
in preparation for the test...
Sections 2.1-2.6 (inclusive), 2.10
Sections 3.1-3.6 and 3.9
The following homework assignments were already given: p. 247, #2,10,20,40,55
p.189 #11,
p.164 #33,52
Notes for the Week of Oct. 7
Test 1 solutions may be found just outside Herzberg 4385 within the glass casing.
Review your natural logarithms and exponentials this week. We'll be using more of these as
we proceed and you should be completely familiar with their properties.
Notes for the Week of Oct. 13
Click
here for a sample of the upcoming Test 2. |
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