Math 222, Spring
2008
8:50 MWF, B102 Van Vleck
Lecture 1, Wilson
FINAL EXAM:
The final exam is scheduled by UW for 7:25-9:25 PM on Wednesday, May 14. This time has been scheduled since well before the semester started and was listed on the schedule posted at the class website before the semester and on the sheet handed out at the beginning of the semester. There should not be any conflicts with this time. If you do have some problem with the time, or you need special arrangements due to a McBurney Center VISA, please contact me right away!
Here is description of the exam together with a discussion of topics that might appear on it.
Please consult that description before asking me if some topic is or is not on the exam!
Here is the actual Final Exam (including a correction that was made at the exam)
Here is the Final Exam with answers
Here is the sheet on Undetermined Coefficients that was also handed out in class.
Second Midterm Exam, Thursday 4/24/08, 5:30-7:00 PM
We have the same rooms as for the first midterm: B102 Van Vleck (our usual room for lecture) and B130
Van Vleck (almost next door to our usual room) for the exam. Your exam will be in B102 if your TA is
Adam Berliner, Jason Murcko, Dan Rosendorf, or Zheng Hua, and in B130 if your TA is
Patrick Curran, Sam Eckels, or James Hunter. Be sure to remember to go to the
correct room!
Here is a list of topics for the exam, with a few
comments.
(This list is in PDF format, see below if you need to download a program to
read it.)
Here is the exam with answers.
Taylor (Maclaurin) series demo using Maple
Click here for a demonstration produced by Maple
showing how Maclaurin polynomials of increasing degree come closer and closer to
fitting the graph of a function. In this example I used the sine function. The
demo shows how, for x ranging from -2Pi to 2Pi, the polynomials from the
first degree one (just x) through the 15th degree one approximate the
sine function. I just had it give the polynomials of odd degree, since the even
ones don't add anything over the preceding odd one. Notice that all of
them agree exactly at x=0, but that no polynomial is exactly equal to sin(x)
for the whole interval. But as the degree gets higher, the part of the interval
over which the polynomial seems close to sin(x) extends further to the
left and to the right.
Since I cannot assume all of you have Maple on your computer, what you see is
the output together with what I typed in, and it takes a little while to load
since Maple had to save all the graphs and equations as separate pictures. If
you do have Maple you can actually run the steps I typed in, and you could try
making changes. E.g., you could substitute a different function (cos or exp
in place of sin switch to the cosine or the exponential function.) Your
computer almost surely has some version of Java installed: If it does not, you
will not be able to display the graphs and equations or a lot of the rest of
this demo.
First Midterm Exam, Thursday 2/28/08, 5:30-7:00 PM
We have been given rooms B102 Van Vleck (our usual room for lecture) and B130
Van Vleck (almost next door to our usual room) for the exam. Your exam will be in B102 if your TA is
Adam Berliner, Jason Murcko, Dan Rosendorf, or Zheng Hua, and in B130 if your TA is
Patrick Curran, Sam Eckels, or James Hunter. Be sure to remember to go to the
correct room! If you have notified me of a conflict with the exam, giving the
very specific information I asked for in an email, I have by now emailed you
with a resolution.
Here is a list of topics for the exam, with a few
comments.
(This list is in PDF format, see below if you need to download a program to
read it.)
Here is the actual exam, as given
Here is the exam, with answers filled in
Course Description
Course Schedule including Exam times
Viewing PDF files:
Note: Some files that need to show mathematical notation are in .pdf format. To see those your web browser will need a plugin such as Adobe's
Reader. By now you may already have that, but if not you can download it for free HERE
for most computers including PC, Mac, and Linux.
Foxit Reader is another (free) program to read these files, at http://www.foxitsoftware.com/pdf/rd_intro.php.
Some people have problems with bugs in recent versions of Adobe Reader, and
Foxit is also a much smaller and faster program. Adobe Reader has some features
not in (the free version of) Foxit, but either should work for reading exam
topics, answers, etc., for this course.
In connection with this course I have agreed to be part of the "Maple Adoption Program" arranged by the computer software company Maplesoft. Maple (presently version 11) is a powerful program in the category usually called Computer Algebra Systems. Maple and its competitors Mathematica and Matlab surely dominate this market, although I do not have statistical data on market share. I, personally, have been using the various Maple versions for many years now, but I also have used and occasionally still use those competitors. I will be using Maple in class for demonstrations, and frequently I also use it when working out exam problems, to check my answers, or to produce pictures to include in exams or class handouts.
If you are going on in the sciences, including the social sciences, you will
quite probably want and even need to use software like this at some point. Each
of those competing programs has its own particular advantages: I find Maple most
resembles the way that mathematics and science and engineering classes express
and use mathematics, so it seems easier to use in connection with what you learn
in classes. In addition it is exactly what I will be using in class both for
demonstrations and examples and to produce examinations and other documents. You are in not required to buy or even to use Maple for this course. (It
is available on computers in several campus laboratories, if you want to try it
out without buying.) But participation in the Maple Adoption Program does make
it available to you at a reduced rate. You can purchase a copy of Maple at a reduced price if you download it while registered for this course. I will
post more details on how to do this, here, later.
The student edition of Maple is also available for sale locally, and buying it
that way gets you a CD rather than the download, but it is more
expensive.
The math department and UW offer a number of resources to help you succeed. Of course you should make use of me and your TA, but in addition there are two department programs you should be aware of:
MathLab, free drop-in help, information at http://www.math.wisc.edu/~mathlab/
The Mathematics Tutorial Program, intensive and specialized help, information at http://www.math.wisc.edu/~tprogram/
There are also resources outside this department: The College of Engineering offers a variety of support services to engineering students. Campus-wide there is the GUTS (Greater University Tutoring Service) program, http://guts.studentorg.wisc.edu/.