Home Page for Math 1A03 Calculus I: 2008-09

Textbook: Calculus: early transcendentals, 6th edition, J. Stewart, Thomson Brooks/Cole.
WebAssign online assignment system

Course objective: The study of the differential and some integral calculus. Topics include

curve sketching: review of techniques of differentiation, limits, applications
integrals and applications
techniques of integration

Instructors

Section 1: Dr. D. Haskell, HH316, ext.27244
Course meeting time: TRF 8:30-9:20
E-mail: haskell@math.mcmaster.ca
Office hours: M 11:30-12:30, Th 10:30-12:30

Section 2: Dr. J. Marikova, HH409A, ext 27031
Course meeting time: MR 9:30-10:20, T 10:30-11:20
E-mail: marikova@math.mcmaster.ca
Office hours: MTh 10:30-11:30

Section 3: Dr. T. Klein, HH 319, ext. 23403
Course meeting time: MWR 17:30-18:20
E--mail: klein@math.mcmaster.ca
Office hours: M 15:30-16:30, R 13:30-14:30

Teaching Assistant Colin Reid reidct@math.mcmaster.ca, office hours in Math Help Centre HH104
Tutorials: T 12:30-13:20 or F 11:30-12:20 or F 12:30-13:20 in MDCL 1110

Course assessment in brief (consult the course information sheet for more detailed information).
Diagnostic tests: 2%
WebAssign quizzes: 10%
Project: 3%
Midterms: 20% each
Final: 45%

Math Help Centre in HH104 M-R 14:30-20:30, F 14:30-18:30. Drop-in 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).

2 December 2008 All marks are now posted on WebAssign. From the Math 1A homepage, go to Grades/My Scores Summary. Click on Exams(2) and Projects(4) to check that the correct marks are recorded. Ignore the Max Possible column. Let your instructor know by Friday, Dec 5 at the latest if there are any mistakes.

2 December 2008 Final Exam Information The final exam is on Wednesday, December 17, 12:30-3:30. Information about rooms can be found on the registrar's website: http://registrar.mcmaster.ca/scheduling/examfinalb.php# .
The final exam will have 6-10 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.
Office hours of instructors (you may ask questions of any of the instructors)
Dr D. Haskell: M 11:30-12:30, Th 10:30-12:30 until Dec 15
Dr T. Klein: M 15:30-16:30, Th 13:30-14:30 until Dec 15
Dr J. Marikova: T Dec 2 10:30-11:30, F Dec 5 11:00-12:00

Review Sessions 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 13:30-15:30
Dr T. Klein: Friday Dec 12 13:30-15:30
Dr J. Marikova: Tuesday Dec 16 13:30-15:30
These sessions will be student-driven - come prepared with questions that you want answered.

8 November 2008 ALERT Section 4.7 was inadvertently left off the list of topics below for the midterm. Optimisation is a topic for the midterm; here are some problems 14, 29, 36 on p. 329.

6 November 2008 Arrangements for Midterm 2 are the same as for Midterm 1. Review sessions will be run by Colin and Carolyn in ABB102 and TSH B105 6:30-8:30 on the evening of Monday, Nov 10. The exam is 6:45-7:45 on the evening of Tuesday, Nov 11. Room assignments are alphabetically by family name:

Name begins with: A -- E : MDCL 1102
Name begins with: F -- K: MDCL 1105
Name begins with: L -- O: MDCL 1309
Name begins with: P -- T: ABB102
Name begins with: U -- Z: MDCL 1110

Anyone with a scheduled conflict must contact Dr Haskell haskell@math.mcmaster.ca by Monday, Nov 10 with your name, student number, and reason for the conflict. The make-up time is 4:30-5:30 on Tuesday, Nov 11.

4 November 2008 Revision to list of topics for midterm 2: section 6.4 and 6.5 WILL NOT be on the midterm.

1 November 2008 Here are some recommended problems to review for midterm II. The sections listed are the ones that will be covered by the exam:
3.10: 23, 27
4.8: 15, 33
5.1: 3, 19
5.2: 3, 33
5.3: 5, 13, 31
5.4: 11, 27, 53 You should know the table of indefinite integrals on p. 392
5.5: 35, 59
6.1: 3, 15, 31
6.2: 11, 17
6.3: 5, 11,
6.4: 5, 13
6.5: 5, 15
And here is a practice midterm, so that you can see what the real one might be like. Solutions WILL NOT be posted. The TAs will go through the practice midterms during the review sessions on Monday evening before the exam. You can also ask any of the instructors, or any TA in the Math Help Centre to look over your work.

23 October 2008 Anyone affected by the Brandon fire will be excused from Quiz 5. Please let your instructor know your name and ID number (if you have not already gone through the associate dean's office). We will make further adjustments to the course requirements as necessary.

9 October 2008 Class for Section 1 (Dr Haskell, 8:30) on Friday, Oct 10 is CANCELLED.

8 October 2008 Marks for Project 2.7 will be posted tonight or tomorrow. Since this is rather late, the deadline for Projects 2 and 3 is moved to next week; with Project 4 two weeks after that - see calendar below.

3 October 2008 Marks for Project 2.7 will be posted as soon as possible, but not before Monday. Looking forward to Projects 3.1 and 3.4 (do AT MOST ONE of these), some parts of the problems suggest using a graphing calculator or computer algebra system. You may omit these parts. To be precise: on Project 3.1 do questions 1 a, b, d and 2 a. On Project 3.4 do questions 1, 2, 3.

2 October 2008 In Question 5 of the practice midterm, the derivatives of the function are given incorrectly. They should be:
f'(x) = (-1/x^2)(1 + 2/x) and f''(x)= (1/x^3)(3 + 8/x). Thanks to Michelle and Adam for finding the mistake.

29 September 2008 Here are some recommended problems to review for the midterm. The sections listed are the ones that will be covered by the exam:
1.2: 6
1.3: 20, 21
1.5: 9, 19
1.6: 18, 49
2.2: 6, 9, 28
2.5: 43 b, 44, 47, 39
2.6: 3, 27, 29, 31
2.7: 5, 19
2.8: 5, 41
3.1: 33, 47
3.2: 49,52
3.3: 23, 45
3.4: 94, 76, 78
3.6: 19, 31
4.4: 61, 47
4.3: 7, 27, 50
4.1: 4, 28, 61
4.5: 21, 51, 35
And here is a practice midterm, so that you can see wht the real one might be like. Solutions WILL NOT be posted. The TAs will go through the practice midterms during the review sessions on Monday evening. You can also ask any of the instructors, or any TA in the Math Help Centre to look over your work.

26 September 2008 Here is the final decision on the projects. You MUST do one project. You MAY do two, but not more than two. If you do two, the higher score will be retained for your project score. The lower score (if greater than 0) will be counted as 1% extra credit. So that you can know your mark on one project before deciding whether to do another, the deadlines have been shifted, as noted in the calendar below.

26 September 2008 Midterm 1 is scheduled for Tuesday, October 7, 6:45-7:45 pm. The rooms are organised alphabetically by family name. You should go to the room indicated in the folowing table.

Name begins with: A -- E : MDCL 1102
Name begins with: F -- K: MDCL 1105
Name begins with: L -- O: MDCL 1309
Name begins with: P -- T: ABB102
Name begins with: U -- Z: MDCL 1110

A practice test, the chapters covered by the exam, and a list of recommended problems for review will be posted soon.
There will be review sessions run by Colin Reid and Carolyn Junkins through the Math Help Centre on Monday, Oct 7, 6:30-8:30 ABB102 and 7:00-9:00 JHE 284.

Any student with a scheduled conflict (class or exam) should contact Dr Haskell haskell@math.mcmaster.ca by FRIDAY, OCTOBER 3. Include your name, student id number, and explanation of the conflict. The alternative test time is the same day, 4:30-5:30 pm. Students who are allowed to take the alternative test will be informed of the location.

24 September 2008 Some people have had trouble with the Math Palette. Here is the message I received from the WebAssign help desk.

Thanks for contacting us with your problem regarding the Math Palette. The Math palette uses flash and as such you should make sure you have an
updated version for your browser. You can download a current version here http://www.adobe.com/go/getflashplayer.

You may also want to try a different browser. Mozilla FF (http://www.mozilla.com/en-US/ free download of Firefox) Microsoft Internet Explorer(www.microsoft.com/windows/downloads/ie/getitnow.mspx) Apple Safari (www.apple.com/safari/download)

Most often these problems are caused by third party spyware and other downloaded programs from the internet. Make sure your computer has anti virus and anti spyware and keep an up to date browser and you should not experience these problems. Currently I.E. 7 for Win XP has a known
problem with Flash and performing the following steps may correct the problem.

1. Uninstall Flash by going to your Control Panel>Add/Remove Programs and removing the Adobe Flash Player Controls and Plugin by using the
Uninstaller you can find at http://www.adobe.com/shockwave/download/alternates/
2. Download the stand alone Installer for Flash by going here http://www.adobe.com/shockwave/download/alternates/ and follow the instructions to reinstall.

This has been shown to help reduce or completely eliminate problems with I.E. 7 and Flash.

If you continue to have these difficulties from multiple machines please let us know.

22 September 2008 Quiz 3 will ba available from Tuesday, Sept 23. It will cover section 2.3, 2.5, 4.3, 4.4.

4 September 2008 There seems to be some confusion about the textbook. The required text is Stewart's "Calculus: Early Transcendentals" 6th edition, and access to WebAssign. If you buy the package new from Titles Bookstore, the cost is $181.75. Note that the package includes solution manuals for the entire book, and access to WebAssign for two semesters, so you should think of this as the cost of books for two semesters. If you do not buy the package, you will have to buy access to WebAssign online, and this costs $25 for each semester. If you do not have the 6th edition, you are responsible for knowing any discrepancies between the books.

Calendar

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 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 Due Sept 23	Project 2.7 due Sept 25 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 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, 6:45-7:45 pm (correction)	Review for midterm I Projects 3.1 and 3.4 due Oct 9 (change) changed again 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 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 Due Oct 21	Linear approximation Project 4.1 due Oct 23 (change) changed again to Oct 30
Week 7 Oct 21 - 27	Integrals The fundamental theorem 5.3 Indefinite integrals 5.4	Quiz 6 covers sections 5.2, 5.3, 5.4 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 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, 6:45-7:45 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) 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) 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) Due Dec 1 - note early deadline	Integration strategies

Calendar of assignments

Hints to some of the problems can be found at the website for the textbook: Tools for Enriching Calculus
Many of these problems are posted in the relevant problem section on WebAssign. When you submit the problems online, marks and hints are available.

Week	Section	Recommended	Further
Week 1 Sept 8 - 12	1.2 pp 34-37	5	3, 4, 19, 20
	1.3 pp 43-46	28	26, 27, 65
	1.5 pp 58-59	11	13, 15
	1.6 pp 70-72	46	25, 26
	2.7 pp 150-153		32, 35, 26
	2.8 pp 162-165	3	4-11, 43
	3.3 pp 195-197	31	4, 10, 33, 41
	3.6 pp 220	35	33, 36
Week 2 Sept 15 - 19	3.1 pp 180-182	69	59, 80
	3.2 pp 187-189	50	47, 48
	3.4 pp 203-206	82	59, 69, 79
	2.2 pp 97-99	15	8, 27
	2.5 pp 128-130	41	38, 51
	2.6 pp 140-143	47	2, 17, 25, 33
Week 3 Sept 22 - 26	4.4 pp 304-306	29, 52	42, 59, 79
	4.3 pp 295-298	62	5, 8, 11, 73a
Week 4 Sept 29 - Oct 3	4.1 pp 277-279	5	22, 49, 53
	4.5 pp 314-315	17, 19, 25, 41
Week 5 Oct 6 - 10	4.7 pp 328-333	17, 33, 55, 63
	3.10 pp 252-253	21	2, 17, 35
Week 6 Oct 14 - 20	4.8 pp 338-340	29, 31	5, 15, 38
	5.1 pp 364-366	11, 17	2, 3, 21
	5.2 pp 376-378	5, 9	3, 17
Week 7 Oct 21 - 27	5.3 pp 387-390	4, 9, 19-42, 43	63, 65
	5.4 pp 397-399	5-18, 21-44,
Week 8 Oct 28 - Nov 3	5.5 pp 406-407	7-46, 51-70
	6.1 420-421	5-28	43, 44
	6.2 430-433	5, 9, 13, 31	47, 52, 63
Week 9 Nov 4 - 10	6.3 436-437	4, 14, 16, 19
	6.4 441-442	5, 9, 30
	6.5 445	9, 11, 16
Week 10 Nov 11- 17	7.7 505-507	1, 6, 22
	7.1 p.457-459	3, 11, 15, 22, 24, 25, 47, 48, 49
Week 11 Nov 18 - 24	7.2 p.465-467	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