Home Page for Math 1A03/Math 1ZA3

Calculus for the Physical Sciences I/Engineering Mathematics I

2012-13

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Table of Contents


Frequently Asked Questions

Announcements 

Read this section frequently for announcements of homework due dates, test information, any changes in the course information.

18 December 2012 Corrections again to practice exam.

17 December 2012
Corrections to practice exam are available, as well as full solutions to the practice exam.

11 December 2012
Correction to office hours: Mr  McLean's office hours until the exam will be Th, F, M T 1:30-2:30 in BSB B124.

10 December 2012  Solutions to the practice problems. All the instructors except Dr Conlon will be keeping their regular office hours until the exam. Dr Conlon is away this week, but will hold office hours next week on Dec 17 and 18 from 12 until 2. Don't forget the review sessions on Sunday and Monday (Sanjay and Michelle are giving the Monday ones).

4 December 2012  Here are some practice problems for your entertainment during the next two weeks. Make sure to review the old exams and assignments -- you never know, a question might be recycled! And review the previous collections of practice problems for the material in the first two-thirds of the course. Review sessions will be held
Sunday Dec 16 12-2 and 2-4 in ITB 137 and correction: those times are 10-12 and 12-2
Monday Dec 17 4-6 and 6-8 in ITB 137.

4 December 2012  The final exam is on Wednesday, December 19 at 9am, for three hours. Check the registrar's timetable to see which room you should go to. DO NOT FORGET your student ID! The exam will cover all the material of the course, with emphasis on the most recent material which has not yet been examined. As usual, calculators are not allowed. The exam is multiple choice. There are two parts. The first part has ten questions worth one point each. The second part has twenty questions worth 2 points each. Here is a practice exam for you to use for preparation (answer key is at the end). A collection of practice problems will be posted shortly.

29 November 2012  Deadline for submitting WebAssign 8 postponed to Monday at midnight (hard deadline).

29 November 2012  Here is the formula sheet that you will receive with the final exam. All other relevant formulas you need to memorise.

20 November 2012  Course evaluation forms are now available online! Please take a few minutes to fill in this form and let your instructor know how great they are, or alternatively, make constructive suggestions for improvement. Poster.

15 November 2012  The due date for WebAssign 6 has been postponed until Monday at midnight (no grace period). Next week there are both a lab and a WebAssign assignment.

9 November 2012  All versions of midterm 2 are posted below. marks will be up as soon as possible. In the meantime, the complete answer key to all versions is available below. A set of solutions to version 1 (other versions can be worked out from this) will be posted shortly.
    Midterm 2 - Version 1
    Midterm 2 - Version 2
    Midterm 2 - Version 3
    Midterm 2 - Version 4
    Midterm 2 - Version 5 (early write)

    Answer key to all versions
If you have any concerns about the grading of the exam (for example, you want to see your scantron card) visit Dr Haskell during office hours.

Two calculators were left in the exam rooms (why were they even out?). See Dr Haskell to claim.

7 November 2012 Nominations now open for MSU teaching awards! Which 1A/1ZA instructor or teaching assistant will get the most nominations? Express your opinion at this link.

6 November 2012 Review sessions for Midterm 2 today and tomorrow! Check link for place and time. Dr Conlon's office hours this week only are changed to Monday 5:30-6:30 and Wednesday 5:30-7:30. Versions with corrections up to Monday of the practice problems and practice exam are here.

2 November 2012 Chris McLean has posted a correction to a mistake that was made in the lecture this morning. Click here. The answer key to the set of practice problems is at the end of the file posted on Oct 30. Question 9 on the practice midterm is corrected in the file below.

31 October 2012 Test room information now available here. The alternate write time is now 17:30--19:00, to accommodate engineering students with a physics midterm the same evening.

30 October 2012 Practice problems for the upcoming midterm. An answer key will be posted shortly. A practice exam (answer key at the end). Review sessions for the midterms are organized through the Math Help Centre, and are scheduled on Tuesday and Wednesday afternoon/evening of next week. Review sessions will focus on the practice problems, but bring your own questions as well.

29 October 2012 Second test coming up in less than two weeks! Thursday, 8 November, in the evening, for 90 minutes. If you have a scheduled conflict (lecture or exam in another course, highschool commencement, religious occasion, ... ) go to the lab website here, to request to write at the alternate time, which is Wednesday, 7 November at 17:45. The test rooms will be posted shortly, along with review problems and a practice test.
                        The test covers sections 3.11, 4.1, 4.2, 4.3, 4.4, 4.5, 4.7, 4.9, Appendix E, 5.1, 5.2 and Maple Labs 2 and 3. You will not be tested explicitly on the material of the first midterm, but of course, you need to know much of this material in order to do the later material.

24 October 2012 Dr Haskell's office hours on Thursday Oct 25 are cancelled. Sorry about this. Try to see me another time.

11 October 2012 Solutions to Midterm 1.

10 October 2012 The marks for Midterm 1 are now available from the admin/lab website. All versions of the midterm are posted below. The complete answer key to all versions is also below, and a set of solutions to version 1 (other versions can be worked out from this) will be posted shortly. Note that, for the next midterm, the versions will be more different to each other!
    Midterm 1 - Version 1
    Midterm 1 - Version 2
    Midterm 1 - Version 3
    Midterm 1 - Version 4
    Midterm 1 - Version 5 (early write)

    Answer key to all versions
If you have any concerns about the grading of the exam (for example, you want to see your scantron card) visit Dr Haskell during office hours.

5 October 2012 Dr Haskell's lecture 14 (Friday Oct 5).

1 October 2012
The answer keys to the practice problems and practice exam are a work in progress; keep checking the files below, as they are being updated!

30 September 2012
The practice midterm posted below now has the corrected answer key.

28 September 2012
Review sessions for the upcoming test are scheduled through the Math Help Centre. Look at the MHC calendar for dates, rooms and times. The review sessions will focus on this collection of problems for you to practice on in preparation for the test. (The answer key is at the end.) There is also a practice exam for you to try out (read the disclaimer on the front).

21 September 2012
First test coming up in two weeks! Thursday, 4 October, in the evening, for 90 minutes. If you have a scheduled conflict (lecture or exam in another course, highschool commencement, religious occasion, ... ) go to the lab website here, to request to write at the alternate time, which is Wednesday, 3 October at 17:45. To find out your assigned time and test room, click here.
                   The test covers sections 1.6, Appendix D, 2.5, 2.7, 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 4.8 of Stewart, and Maple labs 0 and 1. It is assumed that you know the review material as outlined in the review assignment (WebAssign 0). A sample test and recommended review problems will be posted here soon.

21 September 2012
Dr Conlon's office hours changed slightly (see below).

18 September 2012
Marks are now available for the Maple Lab #0 and WebAssign #0. Remember that both of these are worth zero points towards your final grade. They were practice in using the system, as well as a review of Grade 12 material. Go to the lab website here to check your marks. You can look at Lab #0; your mark is recorded at the top of the page, and the correct answers are given. Lab #1 is now available. Click on Math 1A03/1ZA3 Marks. You will see a list of labs and assignments. Next to WebAssign #0 there will be either a blank, or a number, or NS or ND. If there is a blank, that means that your WebAssign account (if you have one) was not matched with your student ID number. Now is the time to call WebAssign and have this fixed. If there is  a number, this is your mark (out of 52) on the WebAssign assignment; this should agree with the mark you see on WebAssign. NS means that your account was identified but you did not submit the assignment; ND means that you did not download the assignment.

18 September 2012
Dr Harper's office hours changed slightly (see below).

14 September 2012
Here is a handy guide to values of the trig functions at the standard angles.

14 September 2012 Here is a link to some notes created by Dr Contreras.

12 September 2012
WebAssign and Student ID numbers. First of all, Don't Panic! We have time to resolve this problem.
If you have not yet registered on WebAssign, include your ID number when you register.
If you have already registered on WebAssign, probably you did include your ID number. After the first assignment is completed, we will download the grades from WebAssign. If your mark does not get posted, you will then know that your ID number is not in the record, and at that poin in time the problem can be addressed.

11 September 2012 If you are buying WebAssign separately, and need to decide the duration of your access, here is some relevant information.
WebAssign will be used as well for Math 1AA3, 1ZB3. If you plan to take these courses, buy the two-semester access.
WebAssign will not be used for Math 1B03, 1ZC3.

11 September 2012 Did you register for WebAssign but not include your student ID number? Here is what WebAssign has to say about it:
Unfortunately if a student does not include their student number when they create their account, there is no way for them to add it at a later time.  However, we have the ability to update their accounts. 
So I would recommend you have your students contact us directly to have their ID added.  They can either do so by calling us at 1.800.955.8275 or through the website, starting here http://webassign.force.com/wakb2
So call or send email while you are logged into WebAssign.

Course Calendar 

Subject to change throughout the semester.

Week
Topic
Work due this week
Tutorial topic/remarks
Week 0
Sept 6 - 7
Introduction: 1.6 Inverse functions


Week 1
Sept 10 - 14
Review trig, inverse trig

2.5 Continuity -- review limits
2.5 Intermediate value theorem

WebAssign review assignment due Friday, Sept 14

Maple intro lab: continuity due Thursday Sept 13
Introduction to Maple and WebAssign
Week 2
Sept 17 - 21
2.7 derivative as a limt
2.8 differentiabliity (prove diff implies cont)

3.1, 3.2, 3.3 derivatives of poly/exp/trig/prod,quot.rules

WebAssign 1 due Friday Sept 21
Examples from sections 1.6, 2.5, 2,7.
Week 3
Sept 24 - 28
4.8 Newton's method
3.4, 3.5 Chain rule/implicit differentiation
3.5, 3.6 derivatives of log functions, inverse functions

Lab 1: Newton's method due Thursday Sept 27

WebAssign 2 due Friday Sept 28
Newton's method, lots of derivatives.
Week 4
Oct 1 - 5
3.11 hyperbolic functions/inverses/derivatives
4.1 Max/min values
4.2 Mean value theorem

Midterm 1 Thursday Oct 4.
Chain rule!
Week 5
Oct 8 - 12
4.3 shape of graph
4.4 L'Hospital's rule

WebAssign 3 due Friday Oct 12
Thanksgiving this week
Week 6
Oct 15 - 19
4.5  curve sketching

4.5 more on curve sketching -- maybe discuss 4.6

4.7 optimization


Lab 2: max/min, curve sketching due Thursday Oct 18
Finding extreme values -- examples.
Week 7
Oct 22 - 26
4.9 Antiderivatives
Appendix E summation notation
5.1 area and distance

WebAssign 4 due Friday Oct 26
Curve sketching -- examples.
Week 8
Oct 29 - Nov 2
5.2 definite integral

5.3 fundamental theorem

5.4 indefinite integrals

Lab 3: numerical integration due Thursday Nov 1

WebAssign 5 due Friday Nov 2
Summation notation, definition of definite integral.
Week 9
Nov 5 - 9
5.5 substitution

6.1 area between curves

6.2 volumes

Midterm 2 Thursday Nov 8
Indefinite integrals, substitution
Week 10
Nov 12 - 16
6.4 work

6.5 average value, 7.1 integration by parts

7.1 integration by parts


WebAssign 6 due Friday Nov 16
area and volume calculations
Week 11
Nov 19 - 23
7.2 trig integrals

7.3 trig substitution

7.4 partial fractions

 Lab 4: integrating with the computer due Thursday Nov 22

WebAssign 7 due Friday Nov 23
volume calculations, integration by parts
Week 12
Nov 26 - 30
7.4 more on partial fractions

7.5 integration strategy

8.1 arc length

WebAssign 8 due Friday Nov 30
trig integrals and substitutions
Week 13
Dec 1
review



Required and recommended problems

A minimum amount of work to keep up with the course, is to do all of the required problems and labs, as well as all of the recommended problems. Probably you will need to do more than this. All odd-numbered problems from the text have worked solutions in the solutions manual, as well as brief solutions at the back of the book. The challenge problems are to encourage you to realise that there is more to the ideas we are working with than the calculations sometimes indicate. You are encouraged to discuss these problems with your colleagues, your TAs and your instructors.

Week
Section of Stewart's Calculus
Required problems - mark recorded when submitted on WebAssign by the due date
Recommended problems - mostly available on WebAssign; marks are not recorded
Challenge problems - just to keep life interesting
Week 0
Sept 6 - 7
1.6 Inverse functions
1.6: 22, 54, 62 due 21-09-12 1.1: 4, 7, 8, 9, 10, 53, 73

1.3: 13, 34
1.5: 17, 24
1.6: 22, 63, 64, 65
2.3: 15

2.7: 7, 18
2.8: 43
1.6: 77
Week 1
Sept 10 - 14
Appendix D Review trig, inverse trig

2.5 Continuity 
2.5 Intermediate value theorem
App D: 16, 24, 68 due 21-09-12
2.5: 34, 42, 46, 51 due 21-09-12
1.6: 21, 55, 61
App D: 15, 23, 59, 67
2.5: 23, 33, 41, 45, 51, 63
2.5: 67
Week 2
Sept 17 - 21
2.7 derivative as a limt
2.8 differentiabliity

3.1, 3.2, 3.3 derivatives of poly/exp/trig/prod,quot.rules
2.7: 34, 50 due 21-09-12

2.8: 3, 26, 38, 44 due 28-09-12
3.1: 18, 32 due 28-09-12
3.2: 28, 54 due 28-09-12
3.3: 28, 49 due 28-09-12
2.7: 35, 51

2.8: 13, 23, 27, 37, 43
3.1: 4, 47, 65
3.2: 49, 57, 60
3.3: 36, 38
2.7: 53

2.8: 57

3.1: 79

3.2: 61

3.3: 55
Week 3
Sept 24 - 28
4.8 Newton's method
3.4, 3.5 Chain rule/implicit differentiation
3.5, 3.6 derivatives of log functions, inverse functions

3.4: 14, 24 due 12-10-12
3.5: 6, 30 due 12-10-12
3.6: 12, 36 due 12-10-12
3.4: 21, 41, 65, 73

3.5: 13, 15, 25, 39, 51, 55
3.6: 7, 17, 19, 27, 37
3.4: 96

3.5: 73

3.6: 55
Week 4
Oct 1 - 5
3.11 hyperbolic functions/inverses/derivatives
4.1 Max/min values
4.2 Mean value theorem
3.11: 24, 34 due 12-10-12
4.1: 26, 54 due 12-10-12
4.2: 11, 24 due 12-10-12
3.11: 3, 9, 21, 33, 43, 51

4.1: 9, 25, 53, 55, 59, 61
4.2: 3, 5, 9, 13, 17, 23
3.11: 57

4.1: 75

4.2: 36
Week 5
Oct 8 - 12
4.3 shape of graph
4.4 L'Hopital's rule
4.3: 14, 32, 42 due 26-10-12
4.4: 30, 44, 56 due 26-10-12
4.3: 9, 13, 35, 31, 41, 83

4.4: 11, 23, 33, 41, 45, 53, 57, 62
4.3: 87

4.4: 84
Week 6
Oct 15 - 19
4.5  curve sketching

4.5 more on curve sketching

4.7 optimization
4.5: 12, 22, 46 due 26-10-12
4.7: 16, 36 due 26-10-12

4.5: 9, 15, 29, 53


4.7: 3, 7, 15, 19, 23, 35
4.5: 56


4.7:76
Week 7
Oct 22 - 26
4.9 Antiderivatives
Appendix E summation notation
5.1 area and distance
4.9: 20, 38, 46, 52 due 26-10-12
App E: 8, 16, 32 due 02-11-12
5.1: 4 due 02-11-12
4.9: 3, 19, 33, 43, 61

App E: 7, 9, 15, 17, 31, 33
5.1: 5, 7
4.9: 47


5.1: 24, 25, 30
Week 8
Oct 29 - Nov 2
5.2 definite integral

5.3 fundamental theorem

5.4 indefinite integrals
5.2: 10, 34 due 02-11-12
5.3: 8, 22, 32 due 02-11-12
5.4: 14, 38, 62 due 16-11-12
5.2: 1, 2, 7, 17, 22, 29, 33, 37

5.3: 2, 7, 15, 19, 29, 31
5.4: 5, 6, 15, 18, 23, 27, 31, 37, 59, 62
5.2: 41, 68a

5.3: 75
5.4: 53
Week 9
Nov 5 - 9
5.5 substitution

6.1 area between curves

6.2 volumes
5.5: 10, 24, 58 due 16-11-12
6.1: 4, 19 due 16-11-12
6.2: 12, 48 due 16-11-12
5.5: 3, 5, 6, 7, 10, 15, 21, 35, 53, 59, 71

6.1: 3, 9, 17, 19, 23, 26, 31
6.2: 1, 2, 6, 7, 9, 13, 29
5.5: 87, 88

6.1: 54
6.2: 61, 65
Week 10
Nov 12 - 16
6.4 work

6.5 average value, 7.1 integration by parts

7.1 integration by parts
6.4: 6, 16 due 16-11-12
6.5: 8, 12, 16 due 16-11-12
7.1: 10, 14, 16, 38, 42 due 23-11-12

6.4: 1, 3, 7

6.5: 1, 2, 5, 8

7.1: 2, 12, 19, 21, 30, 41
6.4: 17

6.5: 25
7.1: 72
Week 11
Nov 19 - 23
7.2 trig integrals

7.3 trig substitution

7.4 partial fractions
7.2: 6, 18, 44, 50, 54 due 23-11-12

7.3: 12, 18, 26, 30, 44 due 30-11-12
7.4: 12, 20, 64 due 30-11-12
7.2: 5, 15, 24, 39, 57, 65

7.3: 1, 5, 10, 13, 31, 34
7.4: 3, 13, 22, 27, 38, 45, 53
7.2: 70

7.3: 43
7.4: 59, 63, 71
Week 12
Nov 26 - 30
7.4 more on partial fractions

7.5 integration strategy

8.1 arc length


7.5: 14, 32, 42, 50, 54, 58, 72, 78 due 30-11-12


7.5: 15, 19, 29, 36, 41, 48, 53, 82

8.1: 3, 9, 13, 16, 35


7.5: 83, 84

8.1: 41
Week 13
Dec 1
review




Books for the course

All of the above can be bought in one package from Titles Bookstore, along with the Solutions Manuals (optional). This material will also be used for Math 1AA3 and Math 1ZB3.

Course objective

The study of differential and integral calculus for  functions of one variable. Topics include:

1) continuity and differentiability, with emphasis on theory (intermediate value theorem, mean value theorem), practice (how to differentiate) and applications (curve sketching, optimization)

2) theory and techniques of integration, with emphasis on practice (how to integrate) and applications.

See the course outline and calendar for more specific information.

Instructor information

1A03 Section 1 Dr Deirdre Haskell, HH316, ext 27244, haskell@math.mcmaster.ca
Course meeting time: T TH F 8:30-9:20 in HSC 1A1
Office hours:  T 9:30-10:20, Th 9:30-11:20 or by appointment

1A03 Section 2 Dr Ronan Conlon, HH319, ext 23403, rconlon@math.mcmaster.ca
Course meeting time: MWR 16:30-17:20 in BSB 147
Office hours:  T 12:00-2:00, W 17:30-18:20 or by appointment

1ZA03 Section 1 Dr Eric Harper, HH407, ext 26079, eharper@math.mcmaster.ca
Course meeting time: TWF 12:30-13:20 in HSC 1A1
Office hours:  T F 11:30-12:20, W 13:30-14:20 or by appointment

1ZA03 Section 2 Mr Chris McLean, BSB B124, ext 20142, mcleac3@math.mcmaster.ca
Course meeting time: T TH F 8:30-9:20 in TSH 120
Office hours:  T 9:30-10:20, Th 9:30-10:20, F 11:30-12:20 or by appointment

1ZA03 Section 3 Dr Andres Contreras, HH409, ext 27031, contrera@math.mcmaster.ca
Course meeting time: TWF 15:30-16:20 in JHE 376
Office hours:  M 15:00-18:00 or by appointment

Tutorials and teaching assistants:
1A03 T01 M 9:30-10:20 in BSB 147 Michelle DeBoer deboerms@math.mcmaster.ca
1A03 T02 T 15:30-16:20 in TSH 120 Michelle DeBoer
1ZA3 T01 W 09:30-10:20 in HSC 1A1 Sanjay Patel patel222@math.mcmaster.ca
1ZA3 T02 W 8:30-9:20 in CNH 104 Sanjay Patel
1ZA3 T03 T 10:30-11:20 in TSH B128 Sanjay Patel

Help available

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. The Math Help Centre opens in the week of September 17.

Help with lab assignments: Before each lab assignment deadline, TAs are available in a computer lab on campus to help with any difficultes with the lab assignments. Here is the schedule. For help at other times, consult the TAs or your instructor. Please note that you do not have to go to a computer lab at the scheduled times to do the lab assignments: these are designed to be self-contained. All the information that you need to do the labs is in the lab tutorials (on the website) and in the CalcLab manuals.

Teaching Assistants: The TA who run the tutorials are available in the math help centre at the hours posted above. You can also send an email, but remember that it is hard to explain math by email, so plan to come in and talk with them.

Instructors: All the instructors hold office hours, at the times posted above. Feel free to ask questions of any one of them.

Assignment information

Enhanced WebAssign This is an online version of the textbook. In particular, it has an automated sytem for marking problems, which gives you immediate feedback on whether you are doing the problems correctly. There are three types of collections of problems:
To log into WebAssign, you will need to create an account using the access code that came with your textbook. In order for your marks to be recorded correctly, you must include your student ID number in the registration information. You will also need the following class keys:
Math 1A03 section 01: mcmaster 8370 9007
Math 1A03 section 02: mcmaster 6950 6121
Math 1ZA3 all sections: mcmaster 1940 5496

Maple Labs The Maple labs are designed to help you learn how to use Maple as a tool for doing mathematics. You will find Maple an incredibly useful tool for math and science courses  throughout your university career, and hopefully beyond! There are four lab assignments, and they are all required. No late assignments will  be accepted. Due dates are posted on the course calendar. The labs are available at this website. To login, you will need your macid and the bar code from your student ID card.