Instructor
information
Instructor: Dr Deirdre Haskell, HH 316 x27244,
haskell@math.mcmaster.ca
TAs: Maddie Baker, bakermj4@mcmaster.ca
Matthew Jordan,
jordanml@mcmaster.ca
Max LazarKurz,
lazarkm@mcmaster.ca
Help
available
Instructor office hours: T Th 9:3011:00 or by appointment
TA office hours: Maddie F 13:3014:20 C105
Matthew M 10:3011:20 C105
Max Th 10:3011:20 C105
Math
Help Centre is now (January 11 2016) running in HH
104 every weekday afternoon.
11 April 2016 Guidelines for review and suggested problems
selected from the Review Exercises at the end of each chapter.
Chapter 2: how to find limits,
definition of continuous
definition of derivative
29, 39
Chapter 3: how to find derivatives
11, 25, 65
Chapter 4: mean value theorem
local extreme values
17
Chapter 5: definition of definite integral
Fundamental Theorem
substitution
1, 19, 21, 27, 45
Chapter 7: integration by parts and substitution
9, 17
Chapter 9: direction fields
separable equations
linear equations
1, 9, 11
Chapter 10: how to sketch parametric curves, eliminate
parameter, find horizontal and vertical tangent lines
polar coordinates
1, 7, 9, 21
Chapter 11: definition of convergence for an infinite series
tests for convergence
how to find Taylor
series
radius and interval of
convergence
True/False Quiz from the
review problems
11, 19, 41, 49
Chapter 14: identifying picture of surface with function of
two variables
interpreting graphs of
level sets
continuity
partial derivatives
equation of tangent
plane
locating extreme values
(you do not need to know the second derivative test)
5, 7, 8, 13, 19, 33, 53
10 April 2016 and here are some solutions for
the practice exam.
8 April 2016:
Review session for final exam (run by Maddie, Matthew and
Max) will be Monday April 18, 2:304:30 in HH 109. Here is
a practice exam
for you to look at in preparation for the final.
8 April 2016: Quiz 12 Maddie solutions Quiz 12 Max solutions Quiz 12 Matthew solutions
28 March 2016: recommended problems for sections 14.3, 14.4, 14.7 now posted below.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 Jan 5  8 
11.1 Sequences 11.2 series 
WebAssign 12 due Monday Jan 11 at 23:59 
Sequences 
The problem of trisecting an arbitrary
angle 
Week 2 Jan 11  15 
11.3 integral test 11.4 comparison test 
WebAssign 13 due Monday Jan 18 at 23:59  Quiz 7 is
on sequences Tutorial on some simple series 
Constructible numbers 
Week 3 Jan 18  22 
11.4 comparison test 11.5 alternating series 
WebAssign 14 due Monday Jan 25 at 23:59  comparison test 
Some algebra of the constructible numbers 
Week 4 Jan 25  29 
11.6 ratio test 11.8 power series 
WebAssign 15 due Monday Feb 1 at 23:59 Draft of essay due Jan 29 
Quiz 8 is on the comparison test Tutorial on ratio test 
Proof that the angle pi/3 cannot be
trisected 
Week 5 Feb 1  5 
11.9 functions as power series 11.10 Taylor series 
WebAssign 16 due Monday Feb 8 at 23:59  power series 
Review for midterm 
Week 6 Feb 8  12 
9.1 intro to differential equations 9.2 direction fields and euler's method 
Midterm Thursday Feb 11 18:4520:15 
Taylor series 
No class 
Feb 15  19 
Reading Week  no classes  
Week 7 Feb 22  26 
9.3 separable equations 9.4 population growth 
WebAssign 17 due Monday Feb 29 at 23:59 Essay due Friday February 26 
Quiz 9 direction fields Tutorial on euler's method 
Guest lecture: Dr. B. Bolker "Some
simple epidemiological and ecological models" 
Week 8 Feb 29  Mar 4 
9.5 linear equations 9.6 predatorprey 
WebAssign 18 due Monday Mar 7 at 23:59  Quiz 10 separable equations Tutorial on population growth 
Cryptography 
Week 9 Mar 7  11 
10.1 parametric equations 10.2 calculus with parametric curves 
WebAssign 19 due Monday Mar 14 at 23:59  parametric equations 
more on cryptography 
Week 10 Mar 14  18 
10.3 polar coordinates 14.1 functions of several variables 
WebAssign 20 due Monday Mar 21 at 23:59  Quiz 11 on parametric curves 
Guest lecture: Dr. L. Bronsard 
Week 11 Mar 21  25 Mar 26 no classes 
14.1 more on functions of several
variables 14.2 limits and continuity (review one variable limits) 
WebAssign 21 due Monday Mar 28 at 23:59  Easter Friday (no classes) 

Week 12 Mar 28  Apr 1 
14.3 partial derivatives 14.4 tangent planes 
WebAssign 22 due Monday Apr 4 at 23:59  Quiz 12 graphs of surfaces  Julia Robinson and Hilbert's 10th problem
(movie) 
Week 13 Apr 4  8 
14.7 extreme values review 
Review for final 
Week 
Recommended problems by section of
Stewart 
Challenge problems 
Week 1 Jan 5  8 Stewart: 11.1, 11.2 
11.1: 9, 15, 27, 41, 53, 57 11.2: 5, 17, 25, 31, 33, 
11.1: 64 11.2: 
Week 2 Jan 11  15 Stewart: 11.3, 11.4 
11.2: 45, 59, 63, 71 11.3: 3, 5, 11, 23, 27, 29, 
11.2:81 11.3: 34 
Week 3 Jan 18  22 Stewart: 11.4, 11.5 
11.4: 3, 9, 15, 21, 29 11.5: 5, 9, 13, 19 
11.4: 37, 39 11.5: 35 
Week 4 Jan 25  29 Stewart: 11.6, 11.8 
11.6: 3, 9, 15, 23, 39 11.8: 3, 13, 25 
11.6: 32 11.8: 37 
Week 5 Feb 1  5 Stewart: 11.9, 11.10 
11.9: 3, 7, 13, 17, 27 11.10: 7, 17, 21, 29, 33, 37, 53, 61 
11.9: 41 11.10:84 
Week 6 Feb 8  12 Stewart: 9.1, 9.2 
9.1: 3, 7, 9, 11 9.2: 1, 7, 13, 19, 23 
9.1: 15 9.2: 
Feb 15  19  
Week 7 Feb 22  26 Stewart: 9.3, 9.4 
9.3: 5, 9, 13, 17 9.4: 3, 5, 11 
9.3: 9.4:21, 25 
Week 8 Feb 29  Mar 4 Stewart: 9.5, 9.6 
9.5: 7, 11, 13, 17 9.6: 3, 5, 11 
9.5: 38 9.6: 
Week 9 Mar 7  11 Stewart: 10.1, 10.2 
10.1: 3, 5, 7, 11, 13, 15, 27, 33 10.2: 5, 7, 17, 19, 25, 27 
10.1: 44 10.2:73 
Week 10 Mar 14  18 Stewart: 10.3, 14.1 
10.3: 1, 3, 7, 9, 15, 19, 31, 39 14.1: 
10.3: 53 14.1: 
Week 11 Mar 21  25 Stewart: 14.1, 14.2 
14.1:5, 7, 9, 19, 27, 32, 33, 37, 47, 61 14.2: 5, 7, 9, 11 
14.1: 79 14.2: 39 
Week 12 Mar 28  Apr 1 Stewart: 14.3, 14.4 
14.3: 3, 11, 17, 23, 35, 37, 55, 57, 75 14.4: 1, 3, 5, 13, 15, 23 
14.3: 102 14.4:46 
Week 13 Apr 4  8 Stewart: 14.7 
14.7: 1, 3, 5, 9, 15 
14.7:39 
A description of the essay and list of the available topics.
essaytopics.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
Essay grading rubric: the essay will be marked out of
10 points. The points are distributed as follows.
1/10 for correct grammar, reasonable style,
appropriate length
2/10 for being interesting/engaging/makes
the topic approachable
2/10 for the degree of clarity of the
mathematics
2/10 for the degree of correctness of the
mathematics
3/10 for the level of difficulty of the
mathematics and the degree to which you understand the
mathematics (If you try to explain something very difficult,
then you will not be penalised for not totally understanding
it. On the other hand, if you are explaining something pretty
easy, you will be expected to fully understand it.)