**Welcome to the class!
Class announcements and useful documents will appear here. New
material will be added at the top.**

**Math 275**MWF 9-10:15 am**Math 406**TTh 9-10:15 am**Math 496**MTh 11 am-12:30 pm During this time I am in my office but my office is**closed**; I am teaching my independent study student at this time, and you can no more visit with me than you could if I were in a classroom. Note that the Friday meeting we started the semester with has changed to Thursdays.**Math department tea and coffee time**Th 2-2:50 pm**Set theory seminar**W 3-4 pm MB124 (the location is only a reminder for myself; don't look for me there)**morning office half-hour**MTWThF 10:15-10:45 am You can see me directly after class for half an hour. Of course it takes me a certain amount of time to get to my office from my classes.**afternoon office hour**1:45-2:45 pm MTWF Notice that this office hour does not happen on Thursdays.**other times**I will generally arrive on campus at 9 am directly from home for my classes, so you will not usually find me in my office before classes. I expect to be usually on campus and usually in my office until 3 pm each day, and very often until 5 pm. If I am in my office and not with my independent study student, I will usually talk to you.

Here are the grades on Test 4, the final exam, and final letter grades in the course, posted by the ID number on your test paper. The course grades have already been posted to BroncoWeb.

The exam during the final exam period will be in two parts, Test IV and a cumulative part. Your final exam grade will be one-fourth the Test IV grade and three-fourths the grade on the cumulative questions, and will count as one-and-one-half hour exams instead of two (with the additional possibility of replacing your lowest test grade if this helps you). You should expect 4 or 5 Test IV questions and 5 or 6 cumulative part questions on earlier material. You should look at the earlier exams (of this or earlier semesters) and at posted sample finals to see what sorts of things I am likely to ask.

Here is a review sheet updated from the Fall 2013 review sheet, to give you further guidance.

Here is the Fall 2013 cumulative final. Here is the Fall 2013 Test IV. The final review materials posted for the Fall 2013 class appear below.

Here is Test II with solutions;

here is Test III with solutions.

**Final Exam Resources (Fall 2013)**

Here is the Test III paper from fall 2013 (already posted below). Its coverage is if anything a little further than we will go (no triple integrals).

The sample Test III from 2006 is here. Problems 3,4,5 are relevant.

Here is the Test III paper from summer 2013. Problems 4,5,6 are relevant. Here is the final and Test IV paper from summer 2013. Problems 1 and 2 in the Test IV part are relevant.

Here is the Test III paper. The first two problems on the Test III paper are relevant to your Test II because we are ahead of where they were.

**Please notice that
problem 4 (on curvature) on the summer Test II is not included in the
solutions I posted (because I posted those solutions for study on the
summer 2013 final, and I did not ask about curvature on the final). I
will post solutions to problem 4: here **

I still owe you solutions to Test I posted here (note 3/2/2015).

The solution to Quiz 4 is ready but will appear on the 4th, as I need to scan it.

Here is Test I from Spring 2006.

Here are partial solutions to Tests I and II from Summer 2013.

Here are the solutions. to Test I from Fall 2013, the last time I taught the class.

Before you ask, if I post a document which does not have solutions that is not a promise that I will write or post solutions for it (I will do this only if I have time, and I am fairly busy). I **will** answer questions from sample tests in homework time, within reason.

**Final Exam Resources**

**Here
is an review sheet which we will go over in class. I may add more
homework problems to this review sheet later. Here
is the summer 2013 test 4 and final paper (again). I wasn't able to
find the 2006 final exam paper in the summer, and I still can't find
it. Note that all the old hour exam papers are also study resources
for the final. I remind you again that I will review with you Monday
and Wednesday, and the LA will review during class time on Friday (I
will not be present). Here
are solutions to Test III. Here
are solutions to Test IV.**

**Test IV Grades Posted**

**Here
are the grades on Test IV. Papers will not be returned until
Wednesday as I have a number of students who have not taken the exam
yet.**

**Further Announcement **

**I have decided to stop
lecturing new material at this point. Section 16.4 simply looks too
involved to be given justice at the very last minute in the semester,
and 17.2, which I would really like to get to...requires 16.4. I
shall say a few words about the proof of Green's Theorem and
generalizations of the theorem, but at this point our main work is
review for Test IV today and review for the final next week. Recall
also that I will not be here on Friday Dec 13**^{th}**;
the LA will run a study session during our usual class time.**

**Test IV Resources**

**Here
is the fall 2006 test 4 paper. Here
is the summer 2013 test 4 and final paper. Here
are solutions to all problems on those tests which are relevant to
the coming Test IV. Here
is a review sheet for your Test IV with a couple of additional sample
problems.**

**Test III Grades**

**Here
are the grades for students who took the exam in the classroom,
posted by the ID number on your test. **

**Test III Resources**

**Test III is on November
8**^{th}**.
It will cover sections 14.5 to 15.3. I will lecture on section 12.7
on Monday, but I will not include this in Test III coverage as it is
being presented to support following sections which are not on this
test. I will have more to say about kinds of things I might ask in
class on Monday and Wednesday.**

**Problem 6 on the sample
Test II from 2006 and problems 1-5 on the sample Test III from 2006
here
are relevant to the test Thursday. Here
is the Test III paper from summer 2013.**

**Test II Grades**

**Here
are the Test II grades for those who took the exam in class. Papers
will be returned on Wednesday (someone is taking the test tomorrow);
I will post solutions after I have that last paper in hand. Here
are the solutions.**

**Test II Resources**

**Test II will be on
Friday October 11 as scheduled. It covers sections 13.4 to 14.4.**

** Here
are partial solutions to Tests I and II from my summer class. Here
is the complete summer Test II paper (without solutions). Here
find the sample Test II from 2006. Look here
at Test III question 1 (and only question 1) from the summer for a
14.4 question.**

**Please notice that
problem 4 (on curvature) on the summer Test II is not included in the
solutions I posted (because I posted those solutions for study on the
summer 2013 final, and I did not ask about curvature on the final). I
will post solutions to problem 4: here**

**Find here
the study guide I gave out for Test II in the summer, revised a bit
to reflect our different coverage. This guide has lists of relevant
sample homework problems in it; I will make sure that I add a similar
list for 14.4. Also recall that we are starting at 13.4 not 13.1.**

**Hint for 14.2 problem 34**

**When I got
to my office I was able to think it through...**

**To show that the limits
don't exist if a+b is less than or equal to 2, think about what
happens if you approach along the line y=x (so everything is just
about powers of x).**

**To show that the limit
****does**** ****exist
if a+b > 2, consider the fact that each of |x| and |y| is less
than or equal to the square root of x^2 + y ^2 (the distance of (x,y)
from the origin). Then you can bound the function by a function of
x^2+y^2 and see that it must converge (once again, we in effect put
everything in terms of a single variable u = x^2+y^2 and get to M170
limits.)**

**That should be enough to
get you started.**

**Test I Grades**

**Here
are the grades on Test I (with the exception of one student who took
the exam late). Here are the solutions.**

**WebAssign Issues**

**If you have trouble
logging into Webassign, use the Webassign feature which allows you to
ask me for an extension. I know where my messages are and how to
respond to them now. Do send me a regular email at the same time that
you send any Webassign request.**

**Date of Exam Changed**

**The date of Test I has
been changed to Wednesday Sept 25**^{th}**.
I'll have something to say in this space shortly about coverage.**

**Here
is Test I from Spring 2006. Here
is Test I from this summer and here
is Test 2. You need both. My exams typically contain hand-drawn
pictures, which will not usually be found in versions posted online.**

**Old Stuff from
Summer 2013**

**Partial Solutions for Tests I and II**

**Here
are partial solutions to Tests I and II. Problems not appearing have
no close analogue on the final.**

**Test IV and Final Exam Review Sheet**

**I do not have a sample
final. Here
is the fall 2006 test 4 paper. Here
is a review sheet I made up for you. **

**Test III Solutions**

**Here**
are the solutions. I will post solutions to Tests I and II within a
day or two.

**Test III review advice**

**A brief review sheet is
found here.
Happy studying!**

**Sample Test III paper**

**Problem 6 on the sample
Test II and problems 1-5 on the sample Test III here
are relevant to the test Thursday.**

**Test II Study Guide**

**...is **here.
I have been asked for solutions to the sample test; if I produce
these, they will also appear here.

**Here
find the sample Test II from 2006. You will see that it does not
provide an abundance of chapter 13 problems. I will be providing
guidance on what kinds of exam questions you can expect.**

**Test I from 2006**

**Here
is Test I from the last time I taught this class, in Spring 2006. The
questions look to be very much the sorts of things I would ask on
your exam. Your exam might be a bit longer: that 2006 class had only
55 minutes. I have the other hour exams but not the final on my
computer; I'll put them up when it is time to review for those tests.
**Here
is a partial solution set (problems 1-7). 8 and 9 I did in class
today.

**The Lecture Notes (these will stay in the
same place)**

**Here**
are lecture notes (through 12.6 as I write this, but I seem to be in
the habit of writing them every day). The topics for the Monday June
16 lecture are here.