Final grades are posted! [I just emailed a final grade report.]
If you'd like to see you final exam, I keep them in my office for at least a year or two.
I need to keep them on record for at least a year, but you can certainly come look at it
(and I'll go over any questions you have).
Also, just because this class is over, don't feel like you can't ask me questions. If you
every have a question mathematical or otherwise, stop by my office or send me an email.
I'm happy to help if I can!
Monday - More divergence and Stokes theorem examples
Also, Homework #4 (.mw) is due
Tuesday - More examples/review [last regular day of class]
Wednesday - Review Session at 10am in Walker 103A [I will try to record this]
I don't plan to do anything really structured. Just come prepared with questions!
In the past this kind of thing tends to last 1.5 to 2.5 hours depending on how many
questions people have. Feel free to show up late/leave early.
Friday - Final Exam Section 101's at 8am and Section 102's at 11am
You may bring one page of notes (one side regular sized paper) to the exam.
Include any formulas, theorems, examples, etc. that you think you might need.
Reminders:
• Test #3 is Wednesday (November 16th).
• Take Home Quiz #6 is due Monday (November 14th). [typo fixed]
• My apprentice's test review session is Monday (November 14th) from 5 to 6pm in WA 304.
Test #3 covers Chapter 15 as well as the handout on vector fields (don't worry about finding postential functions).
I will provide the change of coordinate formulas for rectangular to spherical coordinates:
$x=\rho\cos(\theta)\sin(\varphi), y=\rho\sin(\theta)\sin(\varphi), z= \rho\cos(\varphi)$
as well as the spherical coordinates Jacobian:
$J = \rho^2\sin(\varphi)$. If I give a center of mass or centroid problem, I will provide formulas
for mass and moments.
For the most part, just check out old Test #3's (you don't need to worry about
line integrals or double Riemann sum problems).
Here are a list of relevant review problems from old exams:
Spring 2021 Test #3: All of it except problems #2 & #3.
Summer 2019 Test #3: All of it except problem #1.
Fall 2016 Test #3: All of it except problem #1b & #2.
Summer 2016 Test #3: All of it.
Spring 2016 Test #3: All of it except problem #1b & #2.
Summer 2015 Test #3: All of it except problem #1.
Fall 2014 Test #3: All of it except problem #1b, #1c, & #2.
Summer 2014 Test #3: All of it except problem #1.
Fall 2013 Test #3: All of it except problems #1b, 1c, & #2.
Spring 2013 Test #3: All of it except problem #1.
Fall 2012 Test #3: All of it except problems #1, #7b, & #7c.
Spring 2012 Test #3: All of it except problem #7.
Fall 2011 Test #3: Problems #1-#5.
Spring 2011 Test #3: All of it except problems #1 & #3.
Fall 2009 Test #3: All of it (includes a prob. dens. function problem) and
Final Exam: Problem #3 (a prob. den. function problem).
Fall 2007 Exam #2: Problems #3-#6.
Spring 2007 Exam #2: Problems #3, #4, #6, & #8 and
Final Exam: Problems #5-#7.
Also, the Maple examples in Multiple Integrals [multiple_integrals.mw]
should be quite helpful for understanding the process of setting up triple integrals.
Reminders:
• Test #2 is Monday (October 24th).
• Homework #2 is due Wednesday, October 26th.
• My apprentice's test review session is Thursday (October 20th) from 4 to 5:30pm in WA 304.
I plan to finish new material today and then review for the test on Friday.
For the most part, all Test #2's are relevant. In particular, relevant
old tests/test problems:
All of Test #2's from Spring 2012 up to Spring 2021.
Extra Riemann sum problems can be found in various Test #3s.
In particular, see problem #2s from Fall 2013, Fall 2014, Spring 2016, Fall 2016,
& Spring 2021 and problem #1s from Spring 2011, Fall 2012, Spring 2013, Summer 2014,
& Summer 2015
Fall 2009 Test #2 all but problem #1
Fall 2007 Exam #1 problems 6-8 and Exam #2 problems 1 & 2
Spring 2007 Exam #1 problems 1, 4, 6, 8, & 9 and
Exam #2 problems 1 & 5 as well as Sample Final problems 3 & 4
Spring 2006 Exam #1 problems 4-7
Fall 2005 Exam #1 problems 1, 3, 4, 5, & 8 and Exam #2 problems 2 & 3
10/07
Still a ways off... Homework #2 (.mw)
is due Wednesday, October 26th.
09/30
Test #1 did not go well. We will do test corrections to fix this.
Rework the test - on a blank copy or on your own paper. You can earn up to half of your missed
points back. For example: A 60 could become a 60 + 40/2 = 80. I will base how points I return off of
on how correct your corrections are.
You may work together or get help from the math lab or even me. For those who did really well, I'll
make it worth your time to do the corrections. I'll return tests on Monday. Corrections will be due by
the end of the week.
Visualizing line integrals with respect to arc length: an example
[Source: (.mw)]
09/19
Reminders:
• Test #1 is Monday (September 26th).
• Homework #1 is due Friday (September 23rd).
• My apprentice's review session is Thursday (September 22nd) from 4 to 5:30pm in WA 304.
While old tests are a good resource for getting an idea of what kinds of things I like
to ask. Keep in mind that we switched textbooks several years ago so there are a few topics
that aren't as relevant and a few that are missing. For example, you won't find much
referencing torsion. Also, keep in mind that summer school tests are longer because
fall/spring tests are designed for 50min classes.
Studying old tests is helpful, but make sure you also look over your notes from class
and try lots of suggested homework problems.
Relevant old tests/test problems:
All of Test #1's from Spring 2012 up to Spring 2021.
Fall 2011 Test #1: all of it
& Test #3: 6
Spring 2011 Test #1: all of it.
& Final Exam: 1ab, 2, 5
Fall 2009 Test #1 Section 101: 1, 2, 3a, 3c, 5b, 6;
Test #1 Section 102: 1, 2, 3, 5, 7b, 7c, 8;
Test #2 Sections 101 & 102: 1;
& Final Exam Sections 101 & 102: 1, 4
Rutgers Spring 2007 Exam #1: 2, 3, 5, 7;
Exam #2: 2;
& Sample Final Exam: 1, 2
My teaching apprentice (Wolfgang Irrig) will be offering a review session for our first test.
If you are interested, this will be held on Thursday, September 22nd from 4 to 5:30pm
in WA 304.
I have many many examples of how to use Maple on my Maple examples page.
We will have an introduction to Maple well before the first assignment is due.