Elementary Calculus I

Mathematics 69.107, Section G

NOTES

Week of Sept. 9 Daily Quiz 1 Daily Quiz 2 Daily Quiz 3
Week of Sept. 16 Daily Quiz 4 Daily Quiz 5 & 6 Daily Quiz 5 & 6
Week of Sept. 23 Daily Quiz 7 Daily Quiz 8 & 9 Daily Quiz 8 & 9
Week of Sept. 30 Solutions to Tutorial Quiz #2
Week of Oct. 7 Daily Quiz 10

Detailed class schedule

Click on the magician below to stop the applet

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.