typo practice final solutions

Doctor Taylor,

I attached a screenshot from the solutions from the final exam review that is on the math department website.

When looking at where it says "System" it goes from 2x+2y-8=0 to x+y=8. Is that a mistake?

Thank you,



















*************

Yes, a big mistake.  It should read x + y = 4, and from this you get -2y = -2 ==> y = 1 & x = 3.

Practice Finals

Official mat267 practice final, follow the link here.

My old final

Reminder:  I'm happy to help those who are helping themselves, so if you are asking me for help on a problem, please tell me what first what you already did.

extra credit paper

The rules:
1) Research how vector calculus applies in your chosen discipline of engineering. 
This means actually research it. This is not meant to be easy or something you can just imagine.
2) Write *about* what you discovered in your own words. Two pages double spaced,
2) Cite your references, with a number referring to the references section, in your writing.  This insures that you actually did research something.
3) Document your references, page number and/or section, in a separate reference section.  There should be at least four *distinct* references. At most one should be wikipedia.
4) No plagiarism.  I.e. no copy-pasta, no using other peoples words or ideas without crediting them.

The value to you: UP TO ten points of midterm exam level credit.  You will  have to earn your points, though.

Final Exam Protocol

Just because there will be so many people taking the final exam all in the same room as well as multiple proctors, we're going to have to change the exam protocol a little bit.  Your ID WILL BE REQUIRED for you to receive an exam AND for you to turn it in.  This is to say that if you do not have your ID you will not be able to take your final exam and will receive a score of zero for the final.

Exam 3 Scores, updated quiz scores and estimated final grade as of right now.

Please click on image to enlarge.

Notices: HW, Final Exam and Faculty Evaluations

1)  I postponed the homework due date till tomorrow
2) From the Syllabus:

December 5 (Tuesday)

Final Exam 7:10-9:00 PMPSH 150

Comprehensive!(just because some excitable people will insist on misreading the final exam schedule and get flustered, please go to this link and search on the keyword "267"

(a couple years ago some people missed the final exam because they were sure it wasn't when I said it was) 

3) Evaluation forms for this course are available to you at myasu

Exam 3 Review

Hello Dr. Taylor,

           I was just wanted to see if you would be willing to post the answers to the review for Exam III just so I can check my answers and make sure I am solving the problems correctly.

Thank You,

******************

No.  As usual.  As I've explained before, when I do that, people will look at the problems and the solutions together and convince themselves that they've studied for the test.  This doesn't work.  What does work is doing the problems and getting confused and then understanding why you were confused and how to fix it.   

I am happy to answer here any specific questions you have about specific problems of this type: I did this and I got that and is it right or why isnt it right, provided you tell or show me what you did.  A photo of your work is a good way to accomplish this.   (i.e. show me your diligence and I'll help you out)

Green's Theorem Clarification

Hi Doctor Taylor,

When using Green's Theorem, if we have the problem set up with the double integral of the partial of F2 - partial of F1. If the orientation is counter clockwise we leave the double integral positive, and if it is clockwise we make the double integral negative. Is that right?

Thank you,

******************
yes. specifically when the boundary curve ∂E is oriented counter clockwise and blah-blah-blah*



but when ∂E is oriented clockwise



*blah-blah-blah means E is a simply connected domain and its boundary ∂E is piecewise differentiable closed curve that doesn't intersect itself

What will be on the exam?

Dear Professor Taylor,

On the syllabus, it says that 13.4 will be covered on the exam this Friday. However, the 13.4 homework isn't due until 11/26. Will 13.4 be covered on the exam this Friday? Also, can you please post the links to the practice exams on the blog?

Thank you,

********************

See the syllabus: exactly what it says. As we discussed in class, yes 13.4 will be in there. 

practice for exam 3

Here--the old one.

Here--a newer one.

13.2#6

I just had a mini question about this one, since I tried to evaluate it as
integral from 0 to 3/2pi with the integrand sin(t)cos(t) + 2t, I figured
the step before was the integrand of -3sin(t)cos(t)+4sin(t)cos(t) +2t. Are
you not allowed to perform algebra and reduce the coefficients the answers
were very close to each other.

Wrong answer (22.399..)
Correct answer (22.7066)

**********************
I only get the correct answer, and the wrong ones I can think of give me answers more wrong than yours, so it's hard for me to guess. How did you get the incorrect answer, maybe numerical integration on your calculator?  Btw, you can eyeball the vector field and figure out which function it's the gradient of.

HW due dates

Dear Professor Taylor,

My name is ***** and I’m in your ********** class. Are 13.1-13.3 all three webworks due tomorrow night at midnight? Or did you forget to change them or something?

********************

Let's see.  What did we cover last week?
Vector fields:√.
Line integrals: √
Fundamental theorem....well, sort-of kinda not quite really. 

OK, then. 13.1 and 13.2 are due, but tomorrow is a holiday so lets make it due on Sunday.

And let's make 13.3 due next Friday.

Lecture Notes 11/6/17 through 11/8/17

Lecture Notes 11/6/17

Lecture Notes 11/8/17

Attendance

Click to Enlarge

12.7#9

Good evening Professor Taylor,
I was working on this problem and I
understand the boundaries for rho, and theta, when I see the vertex at the
origin is 90* I want to set my boundaries from 0 to pi/2. I'm not positive
why it's required to set from 0 to 45* unless it's because the picture
show's only the 45* region shaded in? Thank you again for extending the
homework assignment :)
Thank you,

***********************

This question is meant to confuse you, which it did.  Remember that φ is measured from the z-axis, which is poking out of the middle of ice cream on top of the cone.  The confusion arises because the problem invites you to pay attention to the angle from one side of the cone to the opposite side of the cone--that is 90*--and oh by the way don't pay any attention to the fact that those two opposite sides have values of θ that are 180* apart.  Instead of paying attention to that you should be paying attention to the angle between the z-axis and some radial line passing through the origin and going along the side of the cone somewhere--this will be at some fixed  θ because you only go to one side of the cone--and this angle can only be 45*=90*/2

12.7#3 (edit)

I'm not sure why the system is saying that it can't take the arccos(1.61644771824097) when I plug that in for A) as the answer to phi. I divided the z/p, the argument for the arccos(z/p), which was  (9sqrt(3)/2) /  (sqrt(93)/2).

*********************************

Well,  the short answer is that it's saying that because you can't take the arccos(1.61644...).  A slightly longer answer is in fact you can't take the arccos of any number bigger than 1 or less than -1, because the domain of arccos is the closed interval [-1,1], because the range of cos is [-1,1]. 

This information is incredibly important: it means that you made a mistake, in fact at least two mistakes. There is no shame in this, by itself, because everybody makes mistakes.  It is critical thought that you should not waste the opportunity to identify and correct the mistakes. 

In your case the first instance is that you've miscalculated ρ, it's quite a bit larger than that and simpler. Another mistake is conceptual: you don't have a clear picture of cos(x) and it's relationship with arccos(x).  This will hinder in the future you unless you correct it

HW due date changed

The new deadline is tomorrow at 11:59pm.

Lecture Notes 10/23/17 through 11/3/17 (complete!)

Lecture Notes 10/23/17

Lecture Notes 10/25/17

Lecture Notes 10/27/17

Lecture Notes 10/30/17

Lecture Notes 11/1/17

Lecture Notes 11/3/17