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) Chapters16 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 7.3end (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 preuniversity 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 Firstyear
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 preuniversity
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 nonprogrammable calculator for the examinations
and tests in this course:
The Sharp 531L 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. 13:3014:30 HP4367
2A Family
name: Me  Z: 505 SA Esteban
GomezRivière , egrivier@chat.carleton.ca: Mr.
GomezRivière'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 1822, 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, BolzanoWeierstrass Theorem, HeineBorel 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 151617 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 nonnegative 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 

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