13.7#9

I can't quite understand how to do this problem. I've tried  |(7,0) | (7,0) | (8-z^2,0) z dy dz dx

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

First of all, that double integral means you need to do a double integral, but you're doing a triple integral.  That's your first clue.  The fact that you have a double integral but the three variable function f(x,y,z) contributes to the misunderstanding but, second, that little "S" down under the double integral means that you are integrating over a surface just like we've been discussing the last two lectures. So now your job becomes figuring out the parameterization of the surface.   The fact that x and z have the constraints 0≤x≤7, and 0≤z≤7 suggests that they should be equal parameters call them t,s, i.e. x=t and z=s.  Then, since  y=8-z^2 constrains y, you get the parameterization r(t,s) = < t, 8-s^2, s> .  Now have at it.

A math extra credit problem

1.  Three pages single spaced text.
2.  An #EXTRA# page with citations.
3.  Subject: "How Vector Calculus is Used in My Major."
4. At least four inline citations, not wikipedia, not random website you found on the web. Textbooks and professional periodicals are OK.
5. NO PLAGIARISM, aka no copy-paste from random online publications.   (BTW, did you know that just 7 words in sequence provide unique identifiability for more than 90% of publications?)
6. Make a reasonable effort. If you're sloppy I'll cut down your credit.
7. Worth 10 points.
8. Due the day after the final exam: 1 electronic copy in PDF format to my email,  one printed copy to my mailbox in the math department (i.e. dropped off at the main math window in Wexler 216 before it closes.

Estimated Current Grade

Estimated total is based on 0.75*(Total of Exams)/300 + 0.15*Homework + 0.1 *TotalQuiz/3

Final Exam Location

The final exam will take place at 7:10pm on Tuesday May 1st in CDC13; a map to the location is below

Review Session on Monday

There will be a mat267 final review session on Monday 4/30/18 in Wexler (PSA) 311 from 10:30 to 11:30AM.

Lecture Notes 4-20-18 through 4-25-18

Lecture Notes 4-20-18

Lecture Notes 4-23-18

Lecture Notes 4-25-18

Webwork answers

Can you open the answers Webwork 13.2 - 13.4? I want to study those sections for the exam and it opens at midnight. 

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

Done

LectureNotes 4-9-18 though 4-13-18

LectureNotes 4-9-18

LectureNotes 4-11-18

LectureNotes 4-13-18

13.4#4

I got the integral dx (x^2) +  (8x) dy= 2x + 0

(7,0) (7+y,y)  2x +0

But it doesn't seem to work

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

OK, to use Green's theorem you need the formula ∬ ∂F_2/∂x - ∂F_1/∂y dA = ∫_C F_1dx + F_2dy, where the line integral is counter clockwise, while you seem to have computed ∂F_1/∂x + ∂F_2/∂y. Also, note that the line integral in question is computed clockwise, which will change the sign of the left side the above equation. 

13.4#3

I'm not sure what I got wrong.  I came out with the integral 
(3sqrt(2)/2),(0)      (sqrt(9-y^2)^2), (y)    4-2 dy dx

********************************
Well it looks like you did two things wrong. The first and most important is that ∂F_1/∂y = -2, so you should have had 4-(-2) =6, not 4-2=2. The second might be that your integral should have been dxdy not dydx.  Also, a) the integrand is a constant and so polar integration might be easier, and b) the area of a pie wedge is (1/2)(Δθ)r^2, which is to say (9π/8) you could use that instead of doing an integral

Lecture Notes 3/19/18 through 4/6/18

Lecture Notes 3/19/18

Lecture Notes 3/23/18

Lecture Notes 3/26/18

Lecture Notes 3/28/18

Lecture Notes 3/30/18

Lecture Notes 4/2/18& 4/4/18

Lecture Notes 4/6/18

make $40?

Hi All, this is from some of my colleagues in the School of Mathematical and Statistical Sciences:
************

We are writing on behalf of our NSF-funded project, DIRACC: Designing and Assessing a Rigorous Approach to Conceptual Calculus. One task in this project was to design a Calculus 2 concept inventory (C2CI). We have done this, and we are at the stage of trying it out with calculus students.

We are seeking volunteers from Calculus 2 and Calculus 3 students at ASU to help us validate the C2CI. We will make a cash payment of $40 to each student taking it. Students scoring in the top 50% will receive a bonus of $20.

Test dates are April 16 and 17, with arrival times staggered at 4:30, 5:30, 6:30.

Go to http://bit.ly/RecruitC2CI to register. You will pick a date and time when registering.

Thank you in advance,

Pat Thompson, PI
Fabio Milner, co-PI
Mark Ashbrook, co-PI