Instructor
information
Instructor: Dr Deirdre Haskell, HH 316 x27244,
haskell@math.mcmaster.ca
TAs: Marco Handa handamg@mcmaster.ca
Adrienne Ralph
ralpha@mcmaster.ca
Harrison Winch
winchht@mcmaster.ca
Help
available
Instructor office hours: M Th 10:3012:00 in HH 316
TA office hours (all in the seminar room of LRW3038)
Marco: W 10:3011:30
Adrienne: Th 3:304:30
Harrison: Th 12:301:30
Math
Help Centre will be running in HH 104 once the
semester starts.
13 December 2017
Marks for the fall semester are
posted here. The
spreadsheet is sorted by the last five digits of student
id number. The WebAssign mark was calculated using the
best ten of the 12 assignments, the quiz mark was
calculated using the best 4 of 5 quizzes and the homework
mark was calculated using the best 3 of 4 written
homeworks. Let me know if you think there are any
mistakes. Enjoy your holidays.
13 December 2017 About
twenty people have not yet chosen a topic for the essay.
The following topics are no longer available: Fractals,
BanachTarski Paradox, Russell's Paradox, Infinity,
Noneuclidean geometry, Mathematical Epidemiology. Choose
a topic from the remaining ones on the list (see post on
Nov 13), let me know what you have chosen, and start
looking at it over the holidays.
4 December 2017
Here are some suggested problems to
help review for the final. They are chosen from the
section called Review Exercises at the end of each
chapter.
Chapter 2 29, 39, 47
Chapter 3 25, 69, 75, 89, 95
Chapter 4 7, 15, 45, 63
Chapter 5 9, 17, 25, 45
Chapter 6 3, 7, 13
Chapter 9 1, 9
3 December 2017 There are no tutorials this week (the
Wed morning tutorial will not happen). The TAs will hold
office hours on Thursday in Wilson 3038 seminar room
with the following schedule: 12:302:00 Harrison,
1:453:15 Adrienne, 3:004:30 Marco.
3 December 2017
I have given everyone an extension
on WA12 until Tuesday midnight (= Wed 8am with the
automatic eighthour leeway).
Here
is the midyear exam I gave two years ago. Question 2 and
one of the integrals in Question 6 use techniques of
integration that we have not yet covered. In that year,
the topic of diffferential equations was in the second
semester. Here
are the solutions.
I will have office hours on Thursday
afternoon, 2:304:30. The TAs will also be holding
office hours in the seminar room in LRW 3038, I think
12:304:30.
30 November 2017
Several people have asked me about
what calculator will be allowed on the exam. At the
beginning of the semester I filled in a form on which I
said that the only calculator allowed is the McMaster
standard Casio fx 991 MS . I have now been told that I
cannot reverse that decision. So, sorry, but you will
have to work out how to use the Casio. It will not be a
calculatorheavy exam. Look up ahead of time how to
calculate values of exponential, log, trig and inverse
trig functions, and how to put the calculator into
radian mode.
30 November 2017
One of the problems on the last
WebAssign homework requires you to integrate the
function ln(x) . We have not actually talked about how
to do this (we will next semester). The general form of
the antiderivative of ln(x) is xln(x)  x + C .
29 November 2017
Last WebAssign for the semester now
posted!
26 November
2017 This week there is both a quiz
and a homework assignment scheduled for tutorial. The
homework assignment is cancelled. The quiz will
be on Euler's method for approximating values of the
solution to a firstorder differential equation.
24 November 2017
The midterm for everybody will
be in T13 123 on Friday at 11:30. Please leave extra
time to find your way there.
20 November 2017
Here
is a practice midterm to work on.
13 November
2017 This week's quiz is on
antiderivatives. Here is the list of essay topics. Let me or
your TA know which topic you want to write about.
3 November 2017 Class today (as you already know) will
be regular class in the cycle of lectures. Next Friday
is a guest lecture by Dr Earn. The following week, class
on Thursday November 16 is cancelled. The Friday class
on November 17 will be an introduction to the essay
topics, given by Adrienne, Harrison and Marco.
8 October 2017 The midterm has been marked; the marks
are posted here,
in a file sorted by the last 4 digits of your student ID
number. The exams will be returned in class after the
break. If you got less than 20/30 on this exam, you
should plan to talk to me about what you can do to
improve your performance.
5 October 2017 Solutions to practice midterm.
3 October 2017 The midterm will be in KTH B132 (the
usual Friday room) and KTH B124. Students with last
names in the range A through L should go to KTH B132.
Students with last names in the range M through Z should
go to KTH B124.
3 October 2017 The next two WebAssign homeworks are now posted. Please note that the WebAssign homeworks are due on Mondays at midnight (with automatic extension to the following morning). The extension makes the date look like it is due on Tuesday, and I incorrectly put in the deadline for the first several assignments. This is corrected (I hope) for the subsequent assignments. if you need to communicate with me, please send email, not a message on WebAssign, which I do not look at very often.
2 October 2017
A practice version of Midterm 1 is posted here. This is intended
as a study review and guideline to what to expect from the
test. The actual test will NOT be the same questions just with
the numbers changed. Solutions will be reviewed in tutorial.
29 September
2017 Midterm 1 is on Friday October 6 in
class. It will cover everything we have done in chapters 2 and
3 (except epsilondelta proofs of continuity). Check here for
information about where you should go for the test.
29 September 2017
Starting with Homework #3 (the written homework) only
one of the indicated problems will have to be handed in.
I will indicate which one should be handed in. All of the
problems will be discussed in tutorial. My intention is that
this homework can be completed in the 24hour period between
your tutorial and the time it should be submitted.
17 September 2017
I hope that the first tutorial and the first written
homework all went well. The topic for the first quiz is posted
on the calendar below. The quiz will be very short (ten to
fifteen minutes) and will leave plenty of time in tutorial to
discuss what has been happening in class.
Calendar
Entries in the calendar are subject to change. See the
announcements section for updates.
Week 
Topic 
Work due 
Tutorial topic 
Friday topic 
Week 1 Sept 58 
Introduction, continuity, limits by
definition Read Stewart 2.5, 2.4 
Work through the (optional) review
problem set on WebAssign. Talk to me about any topics
you need to review. 
No tutorials this week. 
The absolute value function 
Week 2 Sept 1115 
Limits in practice, tangent line,
derivative Read Stewart 2.3, 2.7, 2.8 
WebAssign 1 due Monday Sept 11 at
23:59 Homework 1 due Friday Sept 15 
Talk about Homework #1 on limits 
Exponential and logarithm functions 
Week 3 Sept 1822 
Derivative as a function, derivatives of
polynomials and exponentials, product and quotient rule Read Stewart 2.8, 3.1, 3.2 
WebAssign 2 due Monday Sept 18 at
23:59 
Quiz 1 on
finding limits in practice (including to find the
derivative) and a qualitative understanding of the
derivative of a function 
Trig functions 
Week 4 Sept 2529 
Derivatives of trig functions, chain
rule, inverse functions Read Stewart 3.3, 3.4, 3.6 
WebAssign 3 due Monday Sept 25 at
23:59 Homework 2 due Friday Sept 29 
Talk about Homework #2 on derivatives 
Inverse trig functions 
Week 5 Oct 26 
Linear approximation, Newton's method,
maxima and minima Read Stewart 3.10, 4.8, 4.1 
WebAssign 4 due Monday Oct 2 at
23:59 
Review for midterm 
Midterm 1
covers chapters 2 and 3 
Fall Break Oct 913 

Week 6 Oct 1620 
Mean value theorem, shape of graph,
limits at infinity Read Stewart 4.1, 4.2, 4.3, 4.4 
WebAssign 5 due Monday Oct 16 at 23:59 
Quiz 2 Newton's method 

Week 7 Oct 2327 
Summation notation, area Read Stewart Appendix E, 5.1 
WebAssign 6 due Monday Oct 23 at
23:59 Homework 3 due Friday Oct 27 
Talk about Homework #3 on application of
derivatives Problem #3 from the assignment to be handed in. 
Guest lecture: Dr Matheus Grasselli 
Week 8 Oct 30Nov 3 
Definite integral, fundamental theorem of
calculus Read Stewart 5.2, 5.3 
WebAssign 7 due Monday Oct 30 at
23:59 
Quiz 3 Riemann sums area calculations 
regular lecture 
Week 9 Nov 610 
More on fundamental theorem,
antiderivatives Read Stewart 5.3, 4.9, 5.5 
WebAssign 8 due Monday Nov 6 at
23:59 Homework 4 due Friday Nov 10 
Talk about Homework #4 on fundamental
theorem Problem #11 from the assignment to be handed in. 
Guest lecture: Dr David Earn 
Week 10 Nov 1317 
Area between curves, volumes Read Stewart 6.1, 6.2 
WebAssign 9 due Monday Nov 13 at
23:59 
Quiz 4 Antiderivatives 
Introduction to essay topics (Thursday
class cancelled) 
Week 11 Nov 2024 
Differential equations, Euler's method,
separable equations Read Stewart 9.1, 9.2 
WebAssign 10 due Monday Nov 20 at
23:59 
Review for midterm 
Midterm 2
covers chapters 4, 5, 6 
Week 12 Nov 27Dec 1 
Separable equations, population growth Read Stewart 9.3, 3.8, 9.4 
WebAssign 11 due Monday Nov 27 at
23:59 Homework 5 due Friday Dec 1 
Quiz 5 Euler's method 
More on the essay topics and review for
final exam 
Week 13 Dec 46 
Predatorprey Read Stewart 9.6 
WebAssign 12 due Monday Dec 4 at
23:59 
Review 
Final exam 
Assigned
and recommended problems
Week  WebAssign Problems 
Homework Problems 
Recommended problems (practice) 
Challenge problems 
Week 1 Sept 58 Read Stewart 2.5, 2.4 
WA review due 170907 1.1.4, 1.1.8, 1.1.14, 1.1.26, 1.3.1, 1.3.2, 1.3.5, 1.3.11, 1.4.19, 1.4.30,1.5.1, 1.5.15, 1.5.18, 1.5.21, 1.5.23 WA1 due 170911 2.5: 50, 53, 57 2.4: 2, 12 
1.1: 4, 7, 8, 9, 10, 53, 73 1.3: 13, 34 1.4: 17, 23 1.5: 26, 63, 64, 65 2.5: 23, 41, 45, 51 2.4: 3, 19 
1.5: 77 2.5: 63, 67 2.4: 11 

Week 2 Sept 1115 Read Stewart 2.3, 2.7, 2.8 
WA2 due 170918 2.3: 2, 6, 8, 2.7: 18, 22, 41 2.8: 26, 38 
Homework #1 p.169 2, 5, 6, 8  2.3: 1, 5
2.7: 11, 17, 23 2.8: 13, 23, 27, 37, 43 
2.7: 59, 60 2.8: 57 
Week 3 Sept 1822 Read Stewart 2.8, 3.1, 3.2 
WA3 due 170925 3.1: 6, 12, 16, 20, 32, 34 3.2: 14, 26, 27, 33 
3.1: 331 (odd), 47, 65
3.2: 325 (odd), 49, 57, 60 
3.1: 79 3.2: 61 

Week 4 Sept 2529 Read Stewart 3.3, 3.4, 3.6 
WA4 due 171002 3.3: 22, 7, 28, 3.4: 5, 11, 14, 28, 56, 3.6: 4, 36, 
Homework #2 p.169 13; p.272 10, 12, 19  3.3: 115 (odd), 31, 52
3.4: 729 (odd), 65, 73 3.6: 221 (odd), 27, 37 
3.3: 55 3.4: 96 3.6: 55 
Week 5 Oct 26 Read Stewart 3.10, 4.8, 4.1 
WA5 due 171016 3.10: 44, 32 4.8: 4, 10, 38 4.1: 10, 30, 34, 44, 48 
3.10: 5, 19, 23 4.8: 7, 13, 15, 29 4.1: 9, 25, 53, 55, 59, 61 
4.8: 42 4.1: 76 

Fall Break Oct 913 

Week 6 Oct 1620 Read Stewart 4.1, 4.2, 4.3, 4.4 
WA6 due 171023 4.2: 7, 11, 21 4.3: 11, 14, 60 4.4: 20, 30, 40 
4.2: 3, 5, 9, 13, 17, 23
4.3: 9, 13, 31, 35, 41, 83 4.4: 11, 23, 33, 41, 45 
4.2: 38
4.3: 87 4.4: 84 

Week 7 Oct 2327 Read Stewart Appendix E, 5.1 
WA7 due 171030 App E: 6, 8, 14, 16, 22 5.1: 8, 18, 22 
Homework #3 p.363 3, 6, 10 (problem 3 to be handed in) 
App E: 5, 9, 13, 17 5.1: 3, 7, 19 
App E: 40 5.1: 27 
Week 8 Oct 30Nov 3 Read Stewart 5.2, 5.3 
WA8 due 171106 5.2: 2, 8, 20, 34, 36 5.3: 2, 9, 19, 69 
5.2: 1, 5, 17, 33, 37 5.3: 3, 7, 13, 66, 67 
5.2: 71 5.3: 84 

Week 9 Nov 610 Read Stewart 5.3, 4.9, 5.5 
WA9 due 171113 5.3: 74 4.9: 12, 18, 30, 48, 52, 68 5.5: 4, 10, 26 
Homework #4 p.425 2, 11, 20 (problem 11 to be handed in) 
4.9: 321 (odd), 2547 (odd) 5.5: 747 (odd), 5373 (odd) 
4.9: 73
5.5: 92, 93 
Week 10 Nov 1317 Read Stewart 6.1, 6.2 
WA10 due 171120 6.1: 2, 6, 24, 46, 50 6.2: 3, 14, 19 
6.1: 13, 15, 27, 35, 53
6.2: 3, 7, 13 
6.1: 57, 59
6.2: 43 

Week 11 Nov 2024 Read Stewart 9.1, 9.2 
WA11 due 171127 9.1: 4, 8, 10 9.2: 4, 11, 22 
9.1: 3, 7, 9, 11
9.2: 1, 7, 13, 19, 23 
9.1:15
9.2 

Week 12 Nov 27Dec 1 Read Stewart 9.3, 3.8, 9.4 
WA12 due 171204 9.3: 4, 6, 16, 18, 22 3.8: 22 9.4: 4, 6, 18 
Homework #5 p.637 1, 2, 3 (problem 2 to be handed in) 
9.3: 5, 9, 13, 17
3.8: 3, 11 9.4: 3, 5, 11 
9.3: 3.8: 12, 13 9.4: 21, 25 
Week 13 Dec 46 Read Stewart 9.6 
9.6: 3, 5, 11 
9.6: 