Office Hours:
Monday, April 15, 12:00 - 4:00
p.m., Herzberg 4250.
Friday, April 26, 2:00 - 5:00 p.m.,
Herzberg 4250.
EXTRA CLASS: Monday, April 8, 2:00 p.m. in Herzberg 4351 (the Colloquium Room).
Revised: April 23, 2002
New Classroom: Loeb C264 (as of Jan. 3)
INSTRUCTOR:
Angelo B. Mingarelli, Professor
Office: Herzberg Physics #4250
Tel/Fax: (613) 520 3534
Electronic mail : angelo@math.carleton.ca
Office Hours: TBA. when not lecturing or
by appointment.
TEXTBOOK(S):
Mainly Chapter 6 of my Calculus by Angelo B. Mingarelli (Solutions
Manual on this web site), cost: $59.95 +GST; available from the Bookstore
or from the Instructor.
UPDATED PDF FILES to SOLUTIONS MANUAL!!
Solutions
Manual August, 2001 edition only) Chapters1-6 only (*.PDF file,
needs Adobe Acrobat or recent version of Netscape)
Solutions
Manual Solutions to Sections 7.1 and 7.2 ONLY
(*.PDF file, needs Adobe Acrobat or recent version of Netscape)
Solutions
Manual Solutions to Sections 7.3-end (Also as a PDF file)
TOPICS COVERED:
Mostly topics from the 69.104 outline but with proofs. However, see
the Detailed Class Oultine below for an extensive list of topics from the
Calendar.
PREREQUISITES:
(i) A pre-university calculus course with
a grade of 65 percent or better; and
(ii) An OAC in Algebra and Geometry, or Mathematics
69.017*, or permission of the School. (See Prerequisites for First-year
Calculus and Algebra Courses in the Calendar)
Note: Although the main prerequisite for
Mathematics 69.102 is a grade of 65 percent or better in a pre-university
calculus course, past experience indicates that students with less than
75 percent in their prerequisite calculus have only a small chance of success
in Mathematics 69.102.
EVALUATION
Your grade will be calculated as:
(i) Term Mark 60%;
(ii) Christmas Examination 20% and Final Examination, 20%
OR
Christmas Final 50 % and final exam 50%, whichever of the two gives
you the highest grade.
TERM MARK:
This will be derived from:
1) 8 term tests (best 6 chosen) for a total of 30% of your term mark.
2) Routine problems using WebCT
will be assigned weekly for practice purposes: Use your Chat
account name for login and your student number
for your
password.
3) Around 14 weekly quizzes over the two terms (best 10 chosen) will
be given for the remaining 30%.
4) Weekly assignments will be given but need not be handed in. The
solutions may be discussed with your Teaching Assistant (or the Instructor).
Note: The "best x of y" rules allow you to miss some of the
term events for any reason (medical or otherwise).
Only under highly exceptional circumstances will a test be postponed
to a later date.
SUPPLEMENTAL EXAMINATION
No Supplemental examinations
CALCULATORS
You may use a non-programmable calculator for the examinations
and tests in this course:
The Sharp 531-L is available at the Bookstore for ca. $19.95
+ Tax. Programming in C++ is strongly encouraged (but not on the examinations!).
WITHDRAWAL
The last date for withdrawal from the course is listed in the Calendat.
If you decide to leave the course before the end of term, it is much better,
in terms of your academic career, to formally withdraw from the course
than to simply ignore it and get an F.
CLASSES BEGIN:
Thursday, September 6, 2001
LECTURE SCHEDULE:
Mondays, Loeb C264, 9:30 a.m.
Wednesdays, Loeb C264, 8:30 a.m.
Thursdays, Loeb C264, 10:30 a.m.
TUTORIALS:
All tutorials are held on Tuesdays at 12:30 p.m. (and will begin
Tuesday, Sept. 18) in either Rooms 501 or 505 Southam Bldg.
Tuesdays 12:30 p.m. - 1:30 p.m.
1A Family
name: A - Mc: 501 SA (SA=Southam Bldg)
Yanjuan Cheng ycheng@math.carleton.ca
: Tue. 13:30--14:30 HP4367
2A Family
name: Me - Z: 505 SA Esteban
Gomez-Rivière , egrivier@chat.carleton.ca: Mr.
Gomez-Rivière's office hours are Wed. from 2:30 to 3:30.
STATUTORY HOLIDAY:
The University is closed October 5 and October 8. As well, there are
no UNDERGRADUATE CLASSES on University Day.
WINTER BREAK: Feb 18-22, 2002
CLASSES END:
Monday, early December 2001.
TUTORIAL CENTRE:
Please note that the mathematics TUTORIAL
CENTRE , in Herzberg Physics Building, Room 4385, will be opening
around Sept. 21, 2001
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 | DATES | TESTS | SECTIONS | TOPICS |
Sept. 6 | None | See Notes | Introduction and History of the Calculus | |
1 | Sept.10
Sept.12 Sept. 13 |
WebCT quiz try it out! |
Chapter 1 and
See Notes |
Review of basic Calculus: Absolute values, the Box Method (for composition of functions), Inequalities |
2 | Sept. 17
Sept. 19 Sept. 20 |
WebCT quiz
Tutorial Quiz |
See Notes |
Point sets and their properties, Topology of the real line: neighborhoods, open sets and their properties |
3 | Sept. 24
Sept. 26 Sept. 27 |
TEST 1
Tutorial room |
See Notes |
Closed sets, Formal language and quantifiers |
4 | Oct. 1
Oct. 2 Oct. 4 Oct. 5 |
Tutorial Quiz |
Notes |
Formal language and quantifiers (continued), Methods of mathematical proof (direct, by contradiction, contrapositive, case by case, induction, etc.) |
5 | Oct. 8
Oct. 10 Oct. 11 |
WebCT quiz
Tutorial quiz |
Chapter 2 and
Chapter 6 |
Limits and Continuity (formal definitions) |
6 | Oct. 15
Oct. 17 Oct. 18 |
WebCT quiz
TEST 2 Tutorial Room |
Chapter 6 |
Limits and Continuity (continued), Axiom of Continuity, Dedekind sections, Least Upper Bound Theorem, Limits of sequences |
7 | Oct. 22
Oct. 24 Oct. 25 |
Tutorial quiz |
Notes |
Points of accumulation, Bolzano-Weierstrass Theorem, Heine-Borel Theorem, Uniform continuity |
8 | Oct. 29
Oct. 31 Nov. 1 |
WebCT quiz
TEST 3 Tutorial Room |
Chapter 3 Notes |
Differentiability (Product and Quotient Rules, The Chain Rule and its applications, Mean Value Theorem, Rolle's Theorem), |
9 | Nov. 5
Nov. 7 Nov. 8 |
WebCT quiz Tutorial quiz |
Chapter 3 |
L'Hospital's Rule, Implicit Function Theorem (and implicit differentiation) |
10 | Nov. 12
Nov. 14 Nov.15 |
WebCT quiz
TEST 4 Tutorial Room |
Chapter 3 Chapter 4 |
Euler's Exponential function and its derivative, The natural logarithm |
11 | Nov. 19
Nov. 21 Nov. 22 |
WebCT quiz
Tutorial quiz |
Chapter 7
Notes |
The Integral and techniques of integration: Substitution |
12 | Nov. 26
Nov. 28 Nov. 29 |
WebCT quiz
Tutorial quiz Final 2000 Exam in 69.104 |
Notes |
Integration by parts, Taylor's formula with remainder, Integration by partial fractions Final 2000 Exam in 69.104 (PDF file) |
TERM 2 | DATES | TESTS | SECTIONS | TOPICS |
13 | Jan.3, | WebCT quiz | Chapter 8 | Trigonometric substitutions, Improper integrals |
14 | Jan. 7
Jan. 9 Jan. 10 |
WebCT quiz
Tutorial quiz |
Chapter 9 |
Applications of the integral: Area between two curves, Volume of a solid of revolution, |
15 | Jan. 14
Jan 16 Jan. 17 |
WebCT quiz Tutorial quiz |
Chapter 5 |
Review of curve sketching in Cartesian coordinates (maxima, minima, inflection points, etc.), |
16 | Jan. 21
Jan. 23 Jan. 24 |
WebCT quiz
TEST 5 Tutorial room |
Notes |
Polar coordinates, Curve sketching in polar coordinates Notes on polar coordinates Exercises on plots in polar coordinates |
17 | Jan. 28
Jan. 30 Jan. 31 |
WebCT quiz
Tutorial quiz |
Notes |
Curve sketching in polar coordinates Notes for weeks 15-16-17 Exercises on describing regions in polar and cartesian coordinates |
18 | Feb. 4
Feb. 6 Feb. 7 |
WebCT quiz
Tutorial quiz |
Notes |
Sequences and series Notes for week 18 Exercises on sequences and series |
19 | Feb. 11
Feb. 13 Feb. 14 |
WebCT quiz
TEST 6 Tutorial Room |
Notes |
Convergent sequences in Euclidean space, Series with non-negative terms, The Comparison Test, Telescoping series Exercises on series |
20 | Feb. 18
Feb. 20 Feb. 21 |
WINTER BREAK |
||
21 | Feb. 25
Feb. 27 Feb. 28 |
Tutorial quiz |
Notes |
Cauchy's convergence criterion, Inferior and Superior Limits,
More exercises on Sequences The Ratio Test, |
22 | Mar. 4
Mar. 6 Mar. 7 |
WebCT quiz
TEST 7 Tutorial Room |
Notes |
Taylor series and a series for the arctan function, The
Integral Test
More exercises on Series Alternating series: Dirichlet Test for convergence, Absolute and conditional convergence |
23 | Mar. 11
Mar. 13 Mar. 14 |
Tutorial quiz |
Notes |
Differential equations (an existence and uniqueness theorem) Exercises on Differential Equations |
24 | Mar.18
Mar. 20 Mar. 21 |
WebCT quiz
TEST 8 Tutorial Room |
|
Applications of differential equations |
25 | Mar. 25
Mar. 27 Mar. 28 Mar. 29 Apr. 4 |
None |
|
REVIEW |