Calculus II: Math 152-02, Spring 2009
Instructor: Michael Pelsmajer
office: E1 206, phone: 567-5344, email: pelsmajer_(AT)_iit_(DOT)_edu
office hours: anytime, but please make an appointment
[Departmental webpage]
[Personal webpage]
Basic Syllabus
Specific Course Information for Math 152-02 Spring 2009
class meetings: MWF 10:00am-11:15am in LS 121,
and W 3:15-4:30pm in SH 237 (lab) or SH 204 (recitation)
[Advice]
[Homework Assignments and Quizzes]
[Wednesdays 3:15pm-4:30pm]
[WeBWork]
[Writing Project]
[Disabilities]
Exam 2 postponed to Wednesday, April 1
Everything we covered since the Exam 1, up through Appendix G (Wednesday's class, March 25)
There will be a review session at the ARC on Sunday, March 29, run by Hannah Kolb, at the ARC. Probably 6pm-8pm.
Exam 1 on Friday, February 20
Everything we covered up through Section 8.5 (improper integrals and D.E.s will not be on this exam)
There will probably be a review session at the ARC on Thursday, February 19, 6pm-8pm, run by Hannah Kolb.
Advice, Tips
There is an excellent, well-organized collection of tips here:
Success in Mathematics.
I wish I wrote it! You should read it right now, and reread it later in
the semester (e.g., a week before the first exam)! You can skip Section
2.2 (Polya's four-step process), but everything else is very relevant for Math 152-02 this semester.
If that's not enough for you, here are a few more sources of high quality advice:
- More specific tips on How To Study Math:
In a nutshell, sleep enough, and start everything ASAP! (What's
interesting is that there are reasons particular to mathematics that
one should heed this common sense advice.)
- More specific tips on How To Read Mathematics
[1]
[2]: In a nutshell, it's not supposed to be like reading a novel — it's completely normal for it go very (very) slowly.
- More on Things Not To Do, inspired by things I've seen students do. Much of it is more or less just saying,
"Don't handicap yourself. (Setting up unnecessary obstacles for yourself is a form of weakness, not strength.)"
Seek out the math-specific tutors at Academic Resource Center (ARC), and the instructor outside of class.
Homework Assignments and Quizzes
There
will be written homework assigned every day, and you should do it
before the next class. Some of the problems will be starred (*), and
these will be handed in once a week on Friday. The other problems will
not be graded, but: (1) you still have to write them out legibly, and save them in a folder or notebook, (2) you have to check that your answers are correct on your own (you will be given the answers) and seek help if you don't understand.
There will also be WeBWorK-based homework.
(Revised policy on 02/04/09)
WeBWorK will be assigned for each class, and it should be completed before the next class.
The last-chance due date will be two or three days later, so that if you are unable to do some of
the problems, you will be able to seek help (from me or from the ARC).
Class every Friday will begin with a short quiz.
Quiz problems will be, in many cases, identical to the ungraded homework problems!
- Assigned January 21 (due January 23)
- Section 7.1, p391 #5,7, 18*,19, 23,25, 31
- "IIT-Orientation" and "1-21-2009 InverseFunctions" from
WeBWork
which will be discussed during the lab today (SH 237 at 3:15pm).
-
- Assigned January 23, 1:15pm
- Section 7.2*, p427, read examples 12 and 13
- Section 7.2*, p428, do #1,3,5,7, 13,14*, 78*, 79
- Do "Natural Log" on WeBWork
- Assigned January 26
- Section 7.2*, p429 #61,62*
- Section 7.3*, p435 #3, 23, 27, 31 (& why?)
- Do "Natural exponential function" on WeBWork
- Assigned January 28
- Section 7.4*, p445 #21,23, 47
- Do "Logs and Exponential" on WeBWork
- (Due Friday, January 30, 10:00am)
-
- Assigned January 30, 6:30pm
- Section 7.6, p461 Read Example 9.
- Section 7.6, p462 Do #63,66*,67,69 (Hint for #63: first break it into two parts)
- Do "Jan30" on WeBWork
- Assigned February 2
- Optional: Read Section 7.8 Examples 4,9,10. Optional: Read Examples 6-8.
- Section 7.8, p478, #1,2*,3,4*, 5,7,9,10*,11,12*,14*,15,17,
21,25, 40*,41,43,44*, 47,49,51, 53,55,58*,59,61
- (You must show work for the written problems. Other than that, you don't need any special written explanations.)
- You will be asked to present some of these problems during Wednesday afternoon's recitation section.
- Hints: #49 multiply top and bottom by conjugate; #51 factor out an 'x';
- Assigned February 4 (2pm)
- Section 8.1, p493 #11,33,37
- Do "by parts" on WeBWork
-
- Assigned February 6
- Read Example 9, p501
- Do "trigonometric integrals" on WeBWork
- Assigned February 9
- Do "Trig substitution" on WeBWork
- Assigned February 11
- Do "partial fractions" on WeBWork
-
- Assigned February 13 (3:45pm, by email)
- Section 8.4, p517, #1a,3,5, 25, 29, 37
- Read Section 8.5 (this is exam prep) and
- p524, Section 8.5 #(odds except 53, your choice)
Wednesday afternoon will be a recitation on problems from p524-525.
This covers a majority of the material you need to know for the exam Friday.
- Assigned February 16 (12:45pm)
- Read Example 7 + "Warning", p549
- Section 8.8, p551 #1, 5,13,15,31,33,35
- Assigned February 18 (8:20pm)
- Section 7.5, p453 #3,12*
- Section 10.1, p607 #9,12*,13
- Unusually, these are due Monday, February 23
- (Exam on Feburary 20)
-
- Assigned February 23 (12:25pm)
- Do "DirectionFieldAndEulersMethod" on WeBWork
- Section 10.2, p614, #1,2*,3-6,11 (an "equilibrium solution" is a solution where y is constant, i.e., where the derivative is zero)
- Assigned February 25 (12:00pm)
- Section 10.3, p622, #3,5,7,11,13
-
- Assigned February 27 (actually Feb 28)
- Section 10.4. Read Examples 2 and 3, and do #5 and #7.
- Assigned March 2 (1:30pm)
- Do "solving DEs" on WeBWork
- Assigned March 4 (11:30am)
- Section 11.1, p663, do #3, 11,13, 23, 24*,25,26*,27
-
- Assigned March 6 (noon)
- Do "parametric tangents and area" on WeBWork
- Assigned March 9 (2:40pm)
- Do "arclength and surfaces of revolution" on WeBWork
- Assigned March 11 (12:00pm) Corrected Section 11.2 to 11.3
- Section 11.3, p681-682, Read Example 9, paying special attention to the part of "b" about theta=3pi/2. (I don't recommend "Equation 3" - the p682 "Note" is better.)
- Section 11.3, p683, Do #1,3,5,7,9, 15,16*,17,18*,19,20*,
29,31,33,34*,35,37,39,41, 50*, 56*, 57, 65
-
- Assigned March 13 (1:30pm)
- Section 11.4, p686-687, Read from Example 1 through Example 3
- Section 11.4, p689, Do #5,11,21
- Assigned March 23 (1:00pm)
- Section 11.4, p689: Set up integral(s), but do not finish solving these problems (because it would take too long) #18, 24-27, 29,31,32, 45,48
(These are intended for Wednesday afternoon recitation.)
- Appendix G, pA55, do #1,3,5,7,9,11,13
- Assigned March 25 (12:40pm)
- Appendix G, pA55, do #23, 29,31,33,35, 37,39,40*, 43,44*,45
-
- (Review for Exam on March 27 and March 30)
- (Exam on April 1)
-
- Assigned April 3 (12:00pm)
- Look at p710. Section 12.1: Read limit laws (p714), review Boxes 6,7,9 and Example 10.
- Section 12.1, p720, do #5,9,11,16*, 17,19,21,22*, 25, 28*,29, 33,35,36*,38*
- Assigned April 6 (2:00pm)
- Read Examples 4 and 5, p726 (Section 12.2)
- From Section 12.1, p721, do #59,61
- From Section 12.2, p730, do #11,13,15,16*,17,18*, 43,44*, 47,48*,49
- To Be Assigned April 8
- From Section 12.2, p730, do #9, 21,22*,23,25,26*,27,32*, 35,36*,39, 52*, 65
-
- Assigned April 10 (12:30pm)
- Read Example 2, p735, and Box 1 p736
- From Section 12.3, p739, do #9, 15, 17, 22*, 23
- Read p757 to see where we're going with convergence testing for series.
- Assigned April 13 (11:45am)
- From Section 12.3, p740, do #33,34* ("correct to three decimal places" means that the error is less than 0.0005)
- From Section 12.4, Read all of page 742.
- From Section 12.4, do #3,5,7,9,12*,15
- Assigned April 15 (11:30am)
- From Section 12.4, do #23,25,26*
- From Section 12.5, do #5,7,9,13,19 (for #19, see example 9, p716)
- (These are due Friday at 10am.)
-
- Assigned April 17 (12:30pm)
- From Section 12.6, do #2*,3,5,7,13,17,20*
- Assigned April 20 (12:00pm)
- From Section 12.6, do #21,23
- From Section 12.8, do #3,5,16*,19,23
- Assigned April 22 (12:00pm)
- From Section 12.9, read examples 3 and 5, and do #5,6*,8*,15,23
- (These are due Friday at 10am.)
-
- Assigned April 24 (12:00pm)
- From Section 12.10, do #1,2*,7,13,15,17,18*
- Assigned April 27 (12:00pm)
- From Section 12.10, read examples 6 and 11, and do #33,41(w/Maple),47,56*
- Assigned April 29 (10:00am)
- Part of the work must be done with Maple. Hand this in via Blackboard. (The problems from April 24 and April 27 are to be done on paper.)
- From Section 12.11, do #3,4*,13,18*,29
-
- Assigned May 1 (11:00am)
- From Section 12.10, p782, do #26*,27,45
- Assigned May 4 (12:00pm)
- (Not Physics:)
From Section 12.7, p758, do #1-14. Recomended: Read Section 12.7
- Assigned May 6 (12:00am)
- Study p794 #1-12 (except #2,6b,7b)
- From Section 12 review, p795, do #1-3, 27,29, 40-42, 45, 47-51
Maple Labs & Recitations
January 21, 3:15pm in SH 237
Introduction to WeBWork
(After today, WeBWorK is part of homework.)
January 28, 3:15pm in SH 237
Go here,
and follow the instructions. (Although most of you have used Maple before, this will help refresh your memory, and
probably you will learn some new things, too.)
Then, do Lab #1.
(Right click on the link, save as "[your-name]-Jan28lab", open it from within Maple, and then follow the instructions.)
Due date: Tuesday February 3, 5:00pm
Please submit Lab #1 via Digital Dropbox in Blackboard
Although this is said in The Guide, let me repeat it here:
Do not struggle for hours by yourself without making progress. Get help.
February 4, 3:15pm in SH 204 (Note the location!)
Recitation. You will be given a list of problems that you can present. You get 1 point for
attempting a solution, and 5 points if you get it right. By the end of the semester, everyone
must have at least X points... where X might be 15, but I'm not sure yet.
If there's time, you will also have an opportunity to ask the TA for help.
February 11, 3:15pm in SH 237
Do Lab #2.
Due date: Tuesday February 17, 5:00pm
Please submit solutions via Digital Dropbox in Blackboard
February 18, 3:15pm in SH 204
Recitation (and review for Exam)
February 25, 3:15pm in SH 237
Do Lab #3.
Due date: Tuesday March 3, 5:00pm
Please submit solutions via Digital Dropbox in Blackboard
March 4, 3:15pm in SH 237
Do Lab #4.
Due date: Tuesday March 10, 5:00pm
Please submit solutions via Digital Dropbox in Blackboard
That was suboptimal. In case you're doing this late, do this one instead: Lab #4 v2.
March 11, 3:15pm in SH 204
Recitation (parametric, polar, diff.eq.)
March 25, 3:15pm in SH 204
Recitation (mainly polar; also complex, everything)
April 1, 3:15pm in SH 237
Do Lab #5.
Due date: Tuesday April 7, 5:00pm
Please submit solutions via Digital Dropbox in Blackboard
April 8, 3:15pm in SH 204
Recitation
April 15, 3:15pm in SH 237
Do Lab #6: Writing Project.
Initial Due date: Tuesday April 21, 5:00pm
Please submit solutions via Digital Dropbox in Blackboard
April 22, 3:15pm in SH 204
Recitation
April 29, 3:15pm in SH 204
Recitation
May 6, 3:15pm in SH 204
Recitation (and review for Exam?)
Writing Project
Math 152 is a designated Writing/Communication-Intensive Course at IIT. To fulfill this, there will be a project assigned about midway through the semester. (More about this later.)
Webwork
Much of the homework this semester will be made available on the Web
and will be answered on the Web. We will be using WeBWorK, an internet
based method for delivering homework problems to students over
the internet.
How do I use WeBWorK?
Here are the basic steps on how to get started.
NOTE: Most pages of WeBWorK also contain directions.
Therefore, if you are ever unsure of what you should do, try reading
the directions and descriptions on the page at which you are looking.
- Find a computer with access to Firefox (preferably), Microsoft Internet
Explorer, etc.
- Open the browser and go to the WeBWorK page for your course.
Here is a link to the page: HERE!.
- This will get you to the entry page of your course. This page
includes necessary information about logging in.
To log in, click on the 'Login' button.
- This will take you to a login page. Enter your login name and
password, and click on the 'Continue' button. Please note that you will not be able to
login until shortly after classes start.
Usually, your login name is your IIT login name (your iit email address, minus "@iit.edu").
Your initial password is your Student ID
number (a.k.a. Banner CWID), consisting of an "A" followed by 8 digits.
- If your login is incorrect, you will be told so, and you can
return to the login page and try again. If you are persistently unable
to log in, see your professor.
If your login is correct you will see a page where you can do
following:
- Change your password. Please do
this the first time that you log in. This is important since
your initial password may be available to others. For
your own protection you should change your password at least by the
time that the first problem set available for credit opens. Keep a record of your password. Once changed, your
instructor does not have access to it.
- Change your e-mail address if necessary. Please do this the first time that you log in.
Your e-mail address is initially set to your McGill student account that you were
given on registration. If you do not use this account
on a regular basis, change the e-mail address to the account that you
prefer. This will enable us to send you course related information
electronically.
- Look at and do the problems in a set via your browser.
To do Set 1, for example, click on the line in the box that starts with
'Set 1...'. Then click on the 'Do problem set' button.
On each line in the box, where all the sets are listed, after the set
number, you can see whether the set is open or closed. If the set is
open, that means that when you solve a problem, the result will be
recorded in the course database. If the set is closed, you can still
solve problems, but your results will not be recorded.
After the indication of whether the set is open or closed, there is
additional information about the due date (if the set is open), or
whether the answers are available (if the set is closed). When the
answers are available, you have the option of looking at correct
answers when viewing a problem.
- (Optional?) Get a printout of the problem set.
To print out Set 1, for example, first choose the download type -
PostScript or PDF. If you have Adobe's Acrobat Reader (version 5.0 or
better), it is probably best to use the PDF format because it is
universal. Acrobat Reader is available (free of charge from Adobe) for
virtually every computer platform and will print to virtually every
type of printer. However, PostScript format may give better results. To
print a PostScript file, you will need a PostScript capable printer (or
else a PostScript interpreter such as GSview). Most laser printers such
as those found in computer labs are PostScript capable and most inkjet
printers are not PostScript capable. If you have your own computer, but
don't have a printer, you might want to go to a university computer lab
and print out the current homework set there. You only need to print
out a problem set once. From then on, you can enter the answers over
the web on your own computer.
After choosing one of the download types, click on the line
in the box that starts with 'Set 1...'. Then click on the 'Get hard
copy' button. At this point, either the problem set will appear in the
browser window (if a suitable plug-in is installed) or you will be
prompted to save the file to disk. You can use the preferences command
of your web browser to configure your browser to automatically transfer
PDF files and/or postscript files to the appropriate application for
viewing and printing.
- Look at a summary of your WeBWorK homework scores.
This is the second section of the page. If you click on the button 'Get
Summary', you will see your current scores for all available problem
sets.
- If you are printing out a problem set or looking at a summary of
your homework scores, you are done. If you are viewing a problem set
via a browser, you will see a page with the problems in the set you
chose. To view and/or answer a problem, click on the number of the
problem and click on the 'Get Problem' button. Notice that there are
different modes of viewing the problem: 'plain text', 'images', etc.
Text output can be hard to read if a problem contains
complicated mathematical formulas, so it is better to view the problem
using the 'images' or 'jsMath' mode.
The 'jsMath' mode may not work
appropriately on older browsers.
Once you choose a problem and
click on the 'Get Problem' button, you will see the text of the problem
with boxes for your answers. If you wish to submit a solution at this
time, enter your answer(s) and click on the 'Submit Answer' button. If
you are working on a problem set that is already closed, you will have
the option to see the correct answer. To see the correct answer, just
check the box(es) and click on the 'Submit Answer' button (you do not
have to enter an answer to see the correct answer). Once you have
submitted an answer, you will be told whether your answer is correct or
not. If not, you may be able to try again. The instructor sets the
maximum number of available tries for each problem. This may be a
finite number of tries or it may be unlimited. After you've tried a
problem, you can either go to the next problem, the previous problem,
or see the list of the problems again.
- If you want to check the status of your problems (e.g. to double
check that your answers have been recorded), use the "Prob. List"
button at the top of the page to see the problem list page.
- When you are finished, log out using the "Logout" button at the
bottom of the page. This may be very important if you are working close
to the deadline for completing the assignment. If you close your
browser without logging off, it will be at least half an hour before
you will be able to log on again.
WeBWorK Tips for Math 152-02 Spring 2009
- You can try a problem multiple times, without penalty - for now.
However, if you need to try a problem more than a few times, you are
probably not thinking hard enough between attempts, and you are
probably not going to do well on the exam. (1/20/09)
- It is a good idea to "Preview" answers first, before Submitting them.
(This way, you can catch typos and things like that.) (1/20/09)
- The instructions on this webpage were adapted from instructions
at another school, so it may not fit perfectly well with out set-up.
Alert the instructor if you think something is not right. (1/20/09)
Things to know
- If you have a problem logging in, contact your instructor.
- If you have questions on specific homework problems or if you
have comments about WeBWorK that you think can help us make WeBWorK
better, click on the 'Feedback' button on any of the pages of WeBWorK.
- If you are logged on to WeBWorK for longer that 30
minutes without any activity, you will be asked to log in again. This
is a security measure. You can resume your work after you logged back
in. All your results from the last log in will be saved.
- Each WeBWorK problem set is individualized (each student
has a different version of each problem, for example the numerical
values in the formulas may be slightly different).
- Working close to the submission deadline may be risky, the server
will be heavily used at that time and probably rather slow. Much better
to submit your solutions a day or two in advance of the deadline.
- The WeBWorK system is quite flexible. For example, if a
problem has several parts the professor has the choice of informing
students whether answers for the separate parts are correct or not.
Typically, if a problem involves parts with numerical answers, the
professor will have WeBWorK inform the student which parts he
or she have done correctly but would not do this for a multiple choice
question or a question with multiple True/False parts. Similarly, the
professor has flexibility in how he or she grades an assignment.
- Be aware of the number of available tries for each question you
attempt. If the number of tries is limited, be sure to answer all parts of a multipart question before
clicking the 'Submit Answer' button. Every time you click this button
counts as an attempt at answering the question even if all the fields
are not filled in. On the other hand, if the number of tries is
unlimited and the question is set up to show partially correct answers,
it may make sense to answer each part of the question separately and
check your answers as you go.
- If you are unsure of how WeBWorK will interpret a complicated
expression that you have entered in the answer box, you can click
'Preview Answer" which will show you how WeBWorK will parse your
answer, and, if you are using typeset mode, it will typeset your
answer. You are then free to either submit the answer as entered or to
go back and make appropriate changes.
- When printing assignments, it may be wise to check that all
mathematical signs are correctly rendered. For example, we have seen
the not equals sign rendered as the equals sign on a low resolution
printer. If you are using Acrobat Reader, you can view the document at
very high resolution to check that you have everything as it should be.
- When viewing an assignment using Acrobat Reader, it is probably
best to select 'View > Zoom > Fit Visible'. This fits the
document margin to margin to your computer window.
What are the advantages of WeBWorK?
- A key educational benefit of this system is that if a student
gets a wrong answer, the student gets immediate feedback while the
problem is still fresh in their mind. The student can then correct a
careless mistake, review the relevant material before attacking the
problem again, or seek help from friends, the TA or the instructor.
- Our teaching assistants can spend less time
correcting assignments, allowing them to spend more of their time
where it counts, in contact with students.
Disabilities Statement
Reasonable accommodations will be made for students with documented
disabilities. In order to receive accommodations, students must obtain
a letter of accommodation from the
Center for Disability Resources and make an appointment to speak with me as soon as possible. The
Center for Disability Resources
is located in the Life Sciences Building, Room 218, 312-567-5744 or disabilities@iit.edu.