Dr. D. Haskell, HH316,
ext.27244
Course meeting time: MR 9:3010:20, T 10:3011:20 BSB136
Email: haskell@math.mcmaster.ca
Office hours: M 11:3012:30, R 10:3012:30
Course assessment in
brief (consult the course
information sheet for more detailed information).
WebAssign quizzes: 10%
Homework: 5%
Midterms: 20% each
Final: 45%
Math Help Centre in HH104 MR 14:3010:30, F 14:3018:30. Dropin for help from TAs, or work on problems with other students.
ANNOUNCEMENTS
4 December 2008 All review sessions will be in CHN B107 (see below for times).The final exam will have 610 problems; you must do all of them.
There will be a formula sheet; a copy is posted here
so that you know what to expect. DO NOT BRING THIS FORMULA SHEET INTO
THE EXAM ROOM.
A practice final is posted here.
The practice final is given only as something for you to work on; you
should not expect the real final to be identical in terms of number of
problems or ordering of topics.
The final exam will cover all of the material of the course. The lists
of topics for each midterm is a good guide for what to study for the
final exam (as well as chapter 7, of course). Here is a partial
list
of topics that you do not need to know:
the definition of e; the change of base theorem for logs
the squeeze theorem for limits
arccosec, arcsec, arccot as functions; derivatives of inverse trig
functions (the most important ones are in the antiderivatives tables)
logarithmic differentiation
hyperbolic functions
the mean value theorem
partial fractions with repeated irreducible quadratic factors
2 December 2008 Help during
the exam period. The Math Help Centre will be running; check
its website for hours.
I will be holding office hours at the following times.
M 11:3012:30, Th 10:3012:30 until Dec 15
You may also consult the Math 1A instructors.
Dr T. Klein: M 15:3016:30, Th 13:3014:30 until Dec 15
Dr J. Marikova: T Dec 2 10:3011:30, F Dec 5 11:0012:00
Review Sessions (joint with Math 1A) will be held as follows (rooms
will be posted soon) (you may attend any or all of the review sessions)
Dr D. Haskell: Monday Dec 15 13:3015:30
Dr T. Klein: Friday Dec 12 13:3015:30
Dr J. Marikova: Tuesday Dec 16 13:3015:30
These sessions will be studentdriven  come prepared with questions
that you want answered.
Week 
Topic 
Remarks 
Tutorials 
Week 0 Sept 4  5 
Introduction 
Take the two diagnostic tests
this weekend. 

Week 1 Sept 8  12 
Curve sketching Products and compositions of polynomials, exponentials, trigonometric functions 1.2, 1.3, 1.5, 1.6 Review of derivatives Definition of the derivative: secant lines, limits, derivative as a function 2.7, 2.8 Trigonometric, exponential and logarithmic derivatives 3.3, 3.6 
Quiz 1 covers sections 1.2, 1.3, 1.5, 1.6, 2.7, 2.8 Homework 1 sec 2.7 #52 Due Sept 16 
Introduction to WebAssign;
review of differentiation rules 
Week 2 Sept 15  19 
Review of derivatives Brief proofs of sum, product, quotient, chain rules for derivatives (review limit laws) 3.1, 3.2, 3.4 Curve sketching Limits at a point, continuity, limits at infinity, asymptotes 2.2, 2.5, 2.6 
Quiz 2 covers sections 3.3, 3.6, 3.1, 3.2, 3.4, 2.2, 2.5 Homework 2 sec 3.4 #94 Due Sept 23 
Project 2.7 due Sept 25
(optional) Review calculating limits 
Week 3 Sept 22  26 
Curve sketching Rates of growth; L'Hospital's rule 4.4 Derivatives and the shape of the graph 4.3 
Quiz 3 covers sections 2.3, 2.5, 4.3, 4.4 Homework 3 sec 4.4 #82 Due Sept 30 
Finding limits at infinity 
Week 4 Sept 29  Oct 3 
Curve sketching Max and min values 4.1 Putting it all together 4.5 
Midterm 1 covers everything so
far up to and including section 4.5. Date 7 Oct, 6:457:45 pm (correction) 
Review for midterm I Projects 3.1 and 3.4 due Oct 2 (optional) changed to Oct 16 
Week 5 Oct 6  10 
Applications of derivatives Optimisation 4.7 Linear Approximation 3.10 
Quiz 4 covers sections to be determined Homework 4 sec 4.5 #70 Due Oct 14 
Optimisation examples 
Week 6 Oct 14  20 
Applications of derivatives Newton's method 4.8 Integrals Areas and distance 5.1 The definite integral 5.2 
Quiz 5 covers sections 4.8, 5.1 Homework 5 sec 3.10 #44 Due Oct 21 
Linear approximation Project 4.1 due Oct 16 (optional) changed to Oct 30 
Week 7 Oct 21  27 
Integrals The fundamental theorem 5.3 Indefnite integrals 5.4 
Quiz 6 covers sections 5.2, 5.3, 5.4 Homework 6 sec 5.1 #26 Due Oct 28 
Properties of the definite integral/estimating integrals from numerical data 
Week 8 Oct 28  Nov 3 
Integrals Substitution 5.5 Applications of Integrals Area between curves, volume 6.1, 6.2 
Quiz 7 covers sections 5.5, 6.1, 6.2 Homework 7 sec 5.5 #88 Due Nov 4 
Using the fundamental theorem to calculate definite integrals 
Week 9 Nov 4  10 
Applications of Integrals Cylindrical shells, work, average value 6.3, 6.4, 6.5 
Midterm 2 covers everything from
4.7 through 6.5 Date 11 Nov, 6:457:45 pm 
Setting up integrals: area, work
etc Review for midterm II 
Week 10 Nov 11 17 
Techniques of integration Numerical integration 7.7 7.1 Integration by parts 
Quiz 8 covers sections 7.7, 7.1 (changed) Homework 8 sec 7.1 #64 Due Nov 18 
Integration by parts 
Week 11 Nov 18  24 
Techniques of integration 7.2 Trigonometric integrals 7.3 Trigonometric substitution 
Quiz 9 covers sections 7.2, 7.3 (changed) Homework 9 sec 7.3 #40 Due Nov 25 
Trig integrals 
Week 12 Nov 25  Dec 1 
Techniques of integration 7.4 Partial Fractions 7.5 Integration strategies Review 
Quiz 10 covers sections 7.4, 7.5 (changed) Homework 10 sec 7.5 #70 Due Dec 1  note early deadline 
Integration strategies 
Week 
Section 
Recommended 
Further 
Required 
Week 1 Sept 8  12  1.2 pp 3437 
5 
3, 4, 19, 20 

1.3 pp 4346 
28 
26, 27, 65 

1.5 pp 5859 
11 
13, 15 

1.6 pp 7072 
46 
25, 26 

2.7 pp 150153 
32, 35, 26 
52 

2.8 pp 162165 
3 
411, 43 

3.3 pp 195197 
31 
4, 10, 33, 41 

3.6 pp 220 
35 
33, 36 

Week 2 Sept 15  19  3.1 pp 180182 
69 
59, 80 

3.2 pp 187189 
50 
47, 48 

3.4 pp 203206 
82 
59, 69, 79 
94 

2.2 pp 9799 
15 
8, 27 

2.5 pp 128130 
41 
38, 51 

2.6 pp 140143 
47 
2, 17, 25, 33 

Week 3 Sept 22  26  4.4 pp 304306  29, 52 
42, 59, 79 
82 
4.3 pp 295298 
62 
5, 8, 11, 73a 

Week 4 Sept 29  Oct 3  4.1 pp 277279 
5 
22, 49, 53 

4.5 pp314315 
17, 19, 25, 41 
70 

Week 5 Oct 6  10  4.7 pp328333 
17, 33, 55, 63 

3.10 pp 252253 
21 
2, 17, 35 
44 

Week 6 Oct 14  20  4.8 pp 338340 
29, 31 
5, 15, 38 

5.1 pp 364366 
11, 17 
2, 3, 21 
26 

5.2 pp 376378 
5, 9 
3, 17 

Week 7 Oct 21  27  5.3 pp 387390 
4, 9, 1942, 43 
63, 65 

5.4 pp 397399 
518, 2144 

Week 8 Oct 28  Nov 3  5.5 pp 406407 
746, 5170 
88 

6.1 420421 
528 
43, 44 

6.2 430433 
5, 9, 13, 31 
47, 52, 63 

Week 9 Nov 4  10  6.3 436437 
4, 14, 16, 19 

6.4 441442 
5, 9, 30 

6.5 445 
9, 11, 16 

Week 10 Nov 11 17  7.7 505507 
1, 6, 22 


7.1 457459 
3, 11, 15, 22, 24, 25, 47, 48, 49  
Week 11 Nov 18  24  7.2 465467 
3, 6, 14, 19, 26, 28, 37, 43,
44, 45, 46, 50 


7.3 
7, 9, 11, 12 ,16 ,21 ,24 ,29 ,33.  
Week 12 Nov 25  Dec 1  7.4 
21, 23, 27, 35, 37, 41, 44, 51  
7.5 
1, 4, 6, 7, 9, 17, 18, 22, 24,
27, 36, 41, 43, 61, 66, 68, 73 
