10.3#14

I am not understanding the first 2 parts of the question, can you please
rephrase it or somehow explain what it is asking for? Thank you.

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First of all, reading the chapter we are covering is very important.  You should read section all of section 10.3 in before you attempt the problems.  Especially you should read pages 554 and 555.

The implication of the problem is that F can be written as the sum of a part that is parallel to v and a part that is perpendicular to v.  But this comes from the notion of the projection Proj_v(F) of F on v:
 this IS parallel to v.  In addition F-Proj_v(F) is perpendicular to v, in fact the Proj_v(F)  is defined as the unique vector w parallel to v that makes  F-w perpendicular to v.  These give you the two vectors you need.

10.3#12

Professor Taylor,

I've completed all of assignment 10.3, except for #12, which I don't know how to solve. Do you have any advise that might help me understand the problem?

The question is:

Assume that u⋅v=7, ∥u∥=4, and ∥v∥=3.
What is the value of 7u⋅(2u−2v)?

Thanks for the help.
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OK,  one critical piece of information that you might have missed is that we usually write |u| instead of ∥u∥ for vectors u, but both of these mean the same thing: the magnitude of the vector. Then you just need to know basic facts about the dot produce like ∥u∥^2=u.u  and the distributive law.

10.2#11

Hi Dr. Taylor,

I have been having difficulty with problem number 11 on section 10.2 of the homework. I went to the math tutoring center and none of the tutors were able to help me. If I could see a solution worked through it would be much appreciated! The problem is attached below. 

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Well, this isn't due for another week.  I suggest you take a look at example 7 on page 548 of the text book--notice that it uses some angles.  Now look at the statement of the problem 11--how does it tell you what the angles have to be?

10.1 #5

When I type the equation of a sphere, it is saying that the "=" is an
"unexpected character" and is counting it wrong.  Is there some way Webwork
is expecting me to write the equation of a sphere without using "="?

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Notice how webwork has those "=0"s over at the right hand side?  So, for example, what you've written amounts to (x+7)^2+(y-5)^2+(z-8)^2=9=0, which makes no sense.  You could have written
(x+7)^2+(y-5)^2+(z-8)^2=9, if webwork would have let you, but it didn't.  Instead you need to write

(x+7)^2+(y-5)^2+(z-8)^2-9, so that (x+7)^2+(y-5)^2+(z-8)^2-9=0 makes sense.

webworks 10.2

Hi professor Taylor,

     On the 10.2 Webworks question 3 and several other problems involving vectors will not take my answers because it says "your answer isn't a vector (it looks like a point)". So I was wondering how you input a vector into Webworks.

Thank you,

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Basically the same way webwork gives you the vector:  as a tuple of numbers enclosed by sharp brackets, e.g.:  v=<1,2,3>.  You probably did the reasonable thing of giving it a tuple enclosed by round brackets (1,2,3), which would be fine for me, but webwork wants the other because of reasons. 

BTW,  in webwork at the bottom of each homework there is a button that says "Email instructor".  If you contact me using that button it will show me the page as you see it with your answers.

webwork 10.1#2

Hello Professor. I am wondering about this question. I know it's all fresh,
but I am a bit confused non the less. Isn't this a problem utilizing the
distance formula in three dimensions? If so, I am not getting nice answers.
Any suggestions?

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Yes, you need to use the distance formula in three dimensions.  The point being that the shortest distance between two points is on a straight line, so that if the three points are on a line the sum of some two distances will equal the third distance, while if they are not on a straight line the sum of any two is larger than the third.

MAT 267 Question About WeBWork

Professor Taylor,

I didn’t find the Homework in WeBWork, the only thing I found in the website is “Taylor_MAT_267_Spring_2016”. Is the homework site open to us in this week?

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The webwork link on the syllabus or the homework assignment links on the blog take you to the correct webpages.

Notetaker needed

A notetaker is needed for this class. In exchange for providing this service, the selected notetaker will be paid a stipend of $25.00 per credit, i.e. total of $75 for a 3 credit class OR if preferred, awarded a letter of community service at the end of the semester. If you take clear, concise notes and are willing to share a copy, visit the DRC's web page and click on any of the DRC Connect links on the page and click "sign up as a notetaker

Webwork Question

Professor Taylor,

Since I have never used the WebWork program before, I just have a quick question about submitting homework. If I completed the 10.1 assignment and each question has a status of "100%", do I need to submit the assignment as a whole? I don't see any option to do so, but I don't want to risk missing the first homework grade. Thanks for you help.

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Each question is submitted separately using the "submit" button; e.g. see below.

Lecture Notes This Week 8/22/16-8/26/16 (complete)

Lecture Notes 8-22-16

Lecture Notes 8-24-16

Lecture Notes 8-26-16

Office Hours

Based on the office hours poll, the choice of times that maximizes the number of people who can attend is:
Mon 12:30-1:30,
Thur 12:30-1:30
Fri 1:30-2:30

Welcome and first homework assignment

Hi! Welcome.
1) The syllabus has been updated--the tentative schedule is correct, but the actual sequence and timing of material may still be subject to small variations.

2) The first homework assignment will cover sections 10.1, 10.2 and 10.3.  Please note that this homework will be not be due until September 2 at midnight, after we discuss this material in class.

3)  Follow this blog by email.  When a homework assignment is announced or modified you'll be notified right away. Sign up for email in the field just to the right


4)  Buy the textbook. Really. It has good stuff in it that you are required to know, even if I don't get around to talking about it specifically in class. Also, I will give a lot of quizzes this semester, and the homework problems in the textbook are a good source of potential quiz problems for me--study those problems and you should have an easier time on the quizzes.

5) I haven't set my office hours yet. I'll be announcing a poll to determine when you could be available to attend office hours.  That way I can choose office hours so that the most people can attend the most easily. If you take the poll you have the best chance of the easiest access, so act accordingly.

6) Please note that that we will be using the (free!) WebWork online homework system and NOT the WebAssign system that you are asked to buy.  You may choose to buy WebAssign at your discretion however, it's a free country.

7) ASU has some new MAT267 videos that I've just learned about; I haven't figured out how to incorporate these yet, but I'll provide links to these by next week.

8) Some of you are asking about the required textbook.  It's the "ACP Calculus (Custom) ASU Bundle (w/Enh WebAssign Access)".  (oops, it comes with WebAssign).  More about this in class.