Instructor
information
Instructor: Dr Deirdre Haskell, HH 316 x27244,
haskell@math.mcmaster.ca
TAs: Maddie Baker, bakermj4@mcmaster.ca
Matthew Jordan,
jordanml@mcmaster.ca16 December 2015
Max Lazar-Kurz,
lazarkm@mcmaster.ca
Help
available
Instructor office hours: T Th 9:30--11:00 or by appointment
TA office hours: Maddie Friday 10:30-11:30 in C105
Matthew Monday 10:30--11:30 in HH 102
Max Monday 16:30--17:30 in Math Cafe
(Hamilton Hall)
Math
Help Centre is now running in HH 104 every weekday
afternoon.
18 December 2015 Solutions
to the exam (for you to read while it is fresh in your
mind).
18 December 2015 Midyear exams are marked! The full set of marks for
the semester are posted here, including all quiz marks,
midterm, webassign and the midyear exam. These are sorted by
the last five digits of your student id number; I hope that is
sufficiently anonymous. If there are any errors in the record,
please let me down by the beginning of next semester. I will
soon post a set of solutions to the exam, and will return the
exams at the beginning of next semester. Fairly soon, I will
replace this website by the edition for next semester; this
one will still be available as a link. Key calendar items to
note are that the midterm will be in the week before reading
week, and therefore the essay will be due the week afterwards.
I will also shortly post the final version of the essay
sign-up sheet. If you did not choose a topic, you will be
assigned one (as threatened).
16 December 2015 At Bailey's request, I have written out a
solution to question 12 on the practice problems. Here it is. As this course does not end
this semester, no marks will be posted to Mosaic. I will post
on this website all the marks from this semester, up to and
including the mid-year exam mark, and therefore the total mark
for the semester. These will be organised by last five digits
of student id number. You can expect that to appear some time
over the weekend.
10 December 2015 Here is the list of
people signed up for the essay topics. I am posting this
firstly so that you can see which topics are still available
and secondly so that you know who is working on the same topic
as you are. You can work together to find resources and
to discuss what you are learning about your topic. I would
even suggest that you read a draft version of each other's
essays, to see if you are communicating the mathematical ideas
clearly. Of course, you should each write your own essay, and
ideally you will each choose a slightly different aspect of
the topic to emphasise.
8 December 2015 Quiz 6 Maddie solutions Quiz 6 Matthew solutions Quiz 6 Max solutions
7 December 2015 Practice questions for the exam are collected
here
. I will hold my regular office hours on Tuesday and
Thursday of this week and Tuesday and Thursday of next week.
Drop by to discuss the practice questions, or anything else.
The final (midyear) exam is on Thursday Dec 17, 12:30--3:00.
30 November 2015 WebAssign 11 is now active. Recommended
problems to end of semester are now posted. Remember to choose
your essay topic by the end of the semester (Dec 8)!
Quiz
5 Maddie solutions Quiz
5 Matthew solutions Quiz
5 Max solutions
25 November 2015 Integration Boot Camp - come out for this
exciting event during which we will do lots and lots of
integration problems. Races! prizes! Tuesday December 1 at
7:00 pm in TSH/B106.
19 November 2015 Recommended problems for section 7.2 and 7.3
are now posted below.
13 November 2015 Thinking about essays, first note that the
list of essay topics and an example of an article of about the
right length and technical content are posted below under Extra Stuff. Also, the Association
for Women in Mathematics runs an annual essay contest about
contemporary women in mathematics. More information is
available here https://sites.google.com/site/awmmath/programs/essay-contest
. I would be happy to discuss it with anyone interested in
submitting an essay.
11 November 2015 Quiz 4 Maddie solutions Quiz 4 Matthew solutions Quiz 4 Max solutions
2 November 2015 Material for essay posted under Extra Stuff below. Read the first
article and be prepared to discuss it on Friday. What is the
author's goal in this article? Is it successful at achieving
that goal? What techniques are used? What does the article not
do that you think the author might try for? We (I mean
you) will put these ideas into practice on Friday by writing a
paragraph at the same technical level about the Fundamental
Theorem of Calculus.
30 October 2015 Various sets of solutions
Quiz
3 Maddie solutions Quiz
3 Matthew solutions Quiz
3 Max solutions Midterm
solutions
27 October 2015 As agreed today in class, I will cancel
Thursday's class, and Friday's class will be a regular class
meeting, not an extra class meeting. If all goes according to
plan, we will discuss the Fundamental Theorem of Calculus. I
will also move my office hours from Thursday to Friday. Have a
great halloween party!
21 October 2015 Practice midterm available here.
20 October 2015 Solutions for Quiz 2 posted here.
Quiz
2 Maddie solutions Quiz
2 Matthew solutions Quiz
2 Max solutions
18 October 2015 I hope everyone has had an enjoyable and
restful fall break. As you may have noticed, the next set of
WebAssign homeworks are now posted. One more small change to
the homework schedule: WebAssign 6 is due at midnight on
Tuesday Oct 27, as we have a midterm on the Monday. The
midterm will cover everything up to, but not including,
antiderivatives. This includes hyperbolic functions, so if you
missed class last Friday, read chapter 3.11. A practice
midterm will be posted, and I will talk about it in the Friday
class of the coming week. The midterm is on Monday October 26,
in the evening, 18:45--20:15 in MDCL 1309. Let me know if you
have a scheduled conflict with this time.
1 October 2015 I have adjusted the upcoming homework
assignments slightly. WebAssign 4 will be due on Friday Oct 9
as we have not properly covered all the material you need in
order to do the assignment. Then WebAssign 5 will be due on
Thursday Oct 22 (we will cover most of what you need for that
assignment before fall break, and the last item,
antiderivatives, on the Monday after). For WebAssign 6 we will
be back to the posted schedule, but this will be a shorter
assignment so that you can complete it in one weekend.
Next Friday I will be talking about
hyperbolic functions, which probably no-one has seen before.
The material is in chapter 3.11, and there are a few questions
related to this topic on WebAssign 5.
29 September 2015 Quiz 1 solutions posted here. Pick up your
quiz in tutorial.
Quiz 1 Maddie
solutions Quiz 1 Matthew solutions
Quiz 1 Max solutions
22 September 2015 WebAssign 2 has been rescheduled for
Wednesday at midnight (=Thursday at 8:00) to allow anyone who
did not yet have their proper WebAssign account to finish it.
With respect to WebAssign 3, I will talk about Newton's
Method, implicit differentiation and derivatives of log
functions this week.
17 September 2015 Tutorials are running this week. In
Friday's class we will discuss exponential and logarithmic
functions, including the derivatives of exponential functions
10 September 2015 I have added sections from the textbook for recommended reading to the calendar below. I cannot say everything in class, so you will have to do some reading from the book as well. Especially at the beginning, when we are reviewing material, there may be some details of a topic that you have not seen, so you should expect to read the book in order to understand what a question is asking. Don't hesitate to ask me if you cannot work out what a question is getting at! -- but also try reading the book. The challenge questions are there to remind you, when the questions get too routine, that there are issues to think about in calculus. You don't have to be able to do them in order to do well in the course.
31 August 2015 Welcome to ArtsSci 1D06. I am looking forward to this year, and I hope that you are too. If you have any spare time during orientation week (unlikely as that may seem), you can check out WebAssign (see link in table of contents). Register using the class key and try your hand at the review assignment posted there. You have two weeks before you need to complete the registration, either using the access code that came with your textbook (bought new from the bookstore) or by paying directly. Contact me if you have a problem with paying for WebAssign access. Until bright and early on Tuesday morning ... enjoy orientation!
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 7 - 11 |
Introduction. Limits and continuity,
intermediate value theorem, the derivative as a limit. Reading: 2.3, 2.4, 2.5 (Review material: chapter 1) |
Take the (optional) diagnostic test. Talk
to me about any topics you need to review. WebAssign 1 due Monday Sept 14 at 23:59 |
No tutorials this week |
The absolute value function |
| Week 2 Sept 14 - 18 |
Differentiability. Review derivatives of
polynomials, exponentials, trig functions, product rule
and quotient rule. Reading: 2.8, 3.1, 3.2, 3.3 |
WebAssign 2 due Monday Sept 21 at 23:59 | Practice derivatives and discuss
recommended problems for Weeks 1 and 2 |
Exponential and logarithm functions |
| Week 3 Sept 21 - 25 |
Newton's method. Chain rule, implicit
differentiation, derivatives of log and other inverse
functions. Reading: 4.8, 3.4, 3.5, 3.6 |
WebAssign 3 due Monday Sept 28 at 23:59 | Quiz 1 on
IVT and techniques of differentiation Practice chain rule |
Trigonometric functions |
| Week 4 Sept 28 - Oct 2 |
Derivatives and the shape of a graph,
mean value theorem, curve sketching. Reading: 4.1, 4.2, 4.3 |
WebAssign 4 due |
L'Hospital's rule |
Inverse trigonometric functions |
| Week 5 Oct 5 - 9 |
More on curve sketching, optimisation, Reading: 4.5, 4.7, 4.9, 3.11 |
WebAssign 5 due Thursday Oct 22 at 23:59 |
Quiz 2 will be on Newton's method Tutorial will cover
first and second derivative test |
Hyperbolic functions |
| Oct 12 - 16 |
Fall break: no classes |
|||
| Week 6 Oct 19 - 23 |
Antiderivatives, summation notation,
area, Reading: 4.9, Appendix E, 5.1, 5.2 |
WebAssign 6 due |
Quiz 3 will be on curve sketching |
Midterm review |
| Week 7 Oct 26 - 30 |
The definite integral, Riemann sums,
fundamental theorem, Reading: 5.2, 5.3, 5.4 |
Midterm
Monday Oct 26 18:45-20:15 in MDCL 1309 |
No class |
|
| Week 8 Nov 2 - 6 |
Indefinite integrals, substitution, area,
Reading: 5.5, 6.1, 6.2 |
WebAssign 7 due Monday Nov 9 at 23:59 | Quiz 4 Riemann sums | Technical writing: an example of a very
light essay |
| Week 9 Nov 9 - 13 |
Integration by parts, Reading: 7.1, 7.2 |
WebAssign 8 due Monday Nov 16 at 23:59 | Integration by substitution |
Technical writing: an example of an essay
with more content |
| Week 10 Nov 16 - 20 |
Trig integrals and trig substitution Reading: 7.2, 7.3 |
WebAssign 9 due Monday Nov 23 at 23:59 | Quiz 5 Integration by parts |
Essay topics: a brief description |
| Week 11 Nov 23 - 27 |
Partial fractions, integration strategy Reading: 7.4, 7.5 |
WebAssign 10 due Monday Nov 30 at 23:59 | More on integration |
|
| Week 12 Nov 30 - Dec 4 |
More applications of integration Reading: 7.7, ch 8 |
WebAssign 11 due Monday Dec 7 at 23:59 | Quiz 6 |
Final review |
| Week 13 Dec 7 - 8 |
Review |
| Week |
Recommended problems by section of
Stewart |
Challenge problems |
| Week 1 Sept 7 - 11 Stewart: 1.1, 1.2, 1.3, 1.4, 1.5, 2.3, 2.5 |
Use the diagnostic tests on pages xxvi --
xxx to review pre-calculus material. 1.1: 4, 7, 8, 9, 10, 53, 73 1.3: 13, 34 1.4: 17, 23 1.5: 26, 63, 64, 65 2.3: 1, 5 2.5: 23, 41, 45, 51, 63 |
1.5: 77 2.5: 63, 67 |
| Week 2 Sept 14 - 18 Stewart: 2.8, 3.1, 3.2, 3.3 |
2.8: 13, 23, 27, 37, 43
3.1: 4, 47, 65 3.2: 49, 57, 60 3.3: 31, 52 |
2.8: 57 3.1: 79 3.2: 61 3.3: 55 |
| Week 3 Sept 21 - 25 Stewart: 4.8, 3.4, 3.5, 3.6 |
4.8: 7, 13, 15, 29 3.4: 21, 41, 65, 73 3.5: 13, 15, 25, 39, 51, 55 3.6: 7, 17, 19, 27, 37 Practice problems: p.267 1--50 |
3.4: 96 3.5: 73 3.6: 55 |
| Week 4 Sept 28 - Oct 2 Stewart: 4.1, 4.2, 4.3 |
4.1: 9, 25, 53, 55, 59, 61
4.2: 3, 5, 9, 13, 17, 23 4.3: 9, 13, 31, 35, 41, 83 4.4: 11, 23, 33, 41, 45, 53, 57 |
4.1: 76 4.2: 38 4.3: 87 4.4: 84 |
| Week 5 Oct 5 - 9 Stewart: 4.5, 4.7, 4.9 |
3.11: 3, 9, 21, 33, 43, 51 4.5: 9, 15, 29, 53 4.7: 3, 7, 15, 19, 23, 35 4.9: 3, 19, 33, 43, 61 Practice problems: p.356 25--48 |
3.11: 57
4.5: 56 4.7: 76 4.9: 73 |
| Oct 12 - 16 Fall break |
||
| Week 6 Oct 19 - 23 Stewart: Appendix E, 5.1 |
App E: 5, 9, 13, 17 5.1: 3, 7, 19 |
App E: 40 5.1: 27 |
| Week 7 Oct 26 - 30 Stewart: 5.2, 5.3 |
5.2: 1, 5, 17, 33, 37 5.3: 3, 7, 13, 19, 25, 66, 67 |
5.2: 71 5.3: 84 |
| Week 8 Nov 2 - 6 Stewart: 5.4, 5.5 |
5.4: 7, 13, 23, 33 5.5: 3, 5, 17, 55 Practice problems: p.418 7--48 |
5.4: 73 5.5: 92, 93 |
| Week 9 Nov 9 - 13 Stewart: 7.1, 7.2 |
6.1: 13, 15, 27, 35, 53 7.1: 5, 11, 17, 29, 35 |
6.1: 57, 59 7.1: 70 |
| Week 10 Nov 16 - 20 Stewart: 7.2, 7.3 |
7.2: 7, 13, 17, 25 7.3: 5, 9, 17, 29 |
7.2: 56, 70 7.3: 35 |
| Week 11 Nov 23 - 27 Stewart: 7.4, 7.5 |
7.4: 9, 19, 23 7.5: 7, 19, 27 |
7.4: 71 7.5: 83 |
| Week 12 Nov 30 - Dec 4 Stewart: 7.7, ch 8 |
7.8: 1, 5, 9, 25, 41 8.1: 9, 15, 19 |
7.8: 81 8.1: 44a |
| Week 13 Dec 7 - 8 |
A description of the essay and list of the available topics.
essay-topics.pdf
If anyone wants to learn LaTeX (mathematical typesetting
program), the TAs will be very happy to help you. Matthew
offers the following sample to illustrate the vast superiority
of LaTeX over Word equation editor, with a sample .tex file to
follow in order to get started.
Word vs. LaTeX.docx
Word vs. LaTeX.pdf
Word vs. LaTeX
(Code).pdf
Stuff for November 6: On Pi day
... from the New York Times
Stuff for November 13: Islands
article from Incite magazine
An example of a piece of technical writing of about the right
length and technical detail: Galactic division from
the Mathematical Intelligencer Don't be put off by the first
two paragraphs; once you get into the second page, it is very
readable!