## Navigation

- Canvas: important announcements, grades, calendar, etc.
- Piazza (Discussion Boards).
- WebAssign: Homework, including grades and due dates.
- Additional HW Problems
- Instructor Contact and General Info:
- Recitations and TAs
- Course Description and Information:
- Legal Issues:
- Links
- Handouts

## Instructor Contact and General Information

Instructor: |
Luís Finotti |

Office: |
Ayres Hall 251 |

Phone: |
974-1321 (don't leave messages! -- e-mail me if I don't answer!) |

e-mail: |
lfinotti@utk.edu |

Office Hours: |
MW 11:10-12:10, or by appointment. (Subject to change). |

Textbook: |
J. Rogawski and C. Adams, "Calculus (Early Transcendentals)". |

3rd Edition, Macmillan, 2015. | |

Prerequisite: |
Math 142 or 148. |

Class Meeting Time: |
MWF 8:00-8:50 at AMB 210. |

Exams: |
Midterm 1 (Sections 12.1-5, 12.7): 02/06 (Tue). |

Midterm 2 (Sections 13.1-3, 14.1-4): 02/27 (Tue). | |

Midterm 3 (Sections 14.5-8, 15.1-3): 03/27 (Tue). | |

Midterm 4 (Sections 15.4-6, 16.1-3): 04/17 (Tue). | |

Final (comprehensive): 05/04 from 8am to 10am. | |

Grade: |
15% for HW Average, 19% for each midterm with lowest dropped, 28% for the final. |

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## Recitations and TAs

TA: |
Gabriel Dusing |

Sections: |
009: T 11:10 at SSH 517 |

Office: |
Hoskins 191 |

Office Hours: |
M 1:25pm-2:15pm and Th 11:10am-12:05pm |

e-mail: |
gdusing@vols.utk.edu |

TA: |
Alexanderia Lacy |

Sections: |
001: 8:10 at BU 334, |

004: T 9:40 at SSH 517 | |

Office: |
Ayres 109 |

Office Hours: |
MW 1pm-2pm |

e-mail: |
alacy4@vols.utk.edu |

TA: |
John Long |

Sections: |
007: T 12:40 at PHY 304 |

Office: |
Ayres 226 |

Office Hours: |
MWF 10:10-11, T 10:45-12:00, Th 9:30-11:00 or by appointment. |

e-mail: |
jlong1@utk.edu |

TA: |
Bryan Self |

Sections: |
002: T 8:10 at HSS 217, |

005: T 2:10 at EPS 302 | |

Office: |
Ayres 226 |

Office Hours: |
MW 3-4, Th 2:30-3:30 |

e-mail: |
cself1@utk.edu |

TA: |
Jon Vazeen |

Sections: |
003: T 3:40 at PHY 306, |

006: T 2:10 at HSS 71, | |

008: T 12:40 at MinKao 525 | |

Office: |
Ayres 233 |

Office Hours: |
By appointment only. |

e-mail: |
jvazeen@utk.edu |

TA: |
Larissa Weaver |

Sections: |
010: T 9:40 at Ferris Hall 510 |

Office: |
South College 101. |

Office Hours: |
MW 2pm-3pm |

e-mail: |
lweaver3@vols.utk.edu |

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## Course Information

### Course Content

This the third semester of Calculus, which is
basically Multivariable
Calculus, after some introduction to Vector Geometry. It will
build on the content of Calculus I and II, **so all the previous
background will be assumed (and used)**.

This is the hardest of the Calculus courses. In great part because (as I say above) you will use all the material from the previous courses, so those who "barely passed" before, will struggle with the old difficulties along with the new ones. (So please, make sure you are well prepared!)

Not only that, the content is intrinsically considerably more difficult, as the jump from one dimension to two and three (ore more) is a great one: shapes in one dimension, i.e., on a line, are simple! In two dimensions, i.e., on the plane, it gets more complicated! In three dimension, i.e., in space, it gets even more complicated!

So, please, **don't underestimate this course**!

### Chapters and Topics

We will cover most of Chapters 12 to 17 from the text:

**Chapter 12:**All sections, except 12.6.**Chapter 13:**Sections 13.1 to 13.3 only.**Chapter 14:**All sections.**Chapter 15:**All sections.**Chapter 16:**All sections.**Chapter 17:**All sections.

Although not very likely, *this outline is subject to change*!

### Course Calendar

Here is the plan for covering the material above :

**Chapter 12:**eight lectures, from 01/10 to 01/29.**Chapter 13:**four lectures, from 01/31 to 02/07.**Chapter 14:**ten lectures, from 02/09 to 03/02.**Chapter 15:**eight lectures, from 03/05 to 03/28.**Chapter 16:**seven lectures, from 04/02 to 04/16.**Chapter 17:**five lectures, from 04/17 to 04/27.

**As it is the first time I'm teaching this course, the above
might change as the course progresses.**

Here is the calendar:

Monday | Tuesday | Wednesday | Thursday | Friday |
---|---|---|---|---|

01/10 | 01/12 | |||

01/15 | 01/16 | 01/17 | 01/19 | |

01/22 | 01/23 | 01/24 | 01/26 | |

01/29 | 01/30 | 01/31 | 02/02 | |

02/05 | 02/06 | 02/07 | 02/09 | |

02/12 | 02/13 | 02/14 | 02/16 | |

02/19 | 02/20 | 02/21 | 02/23 | |

02/26 | 02/27 | 02/28 | 03/02 | |

03/05 | 03/06 | 03/07 | 03/09 | |

03/12 | 03/13 | 03/14 | 03/16 | |

03/19 | 03/20 | 03/21 | 03/23 | |

03/26 | 03/27 | 03/28 | 03/30 | |

04/02 | 04/03 | 04/04 | 04/06 | |

04/09 | 04/10 | 04/11 | 04/13 | |

04/16 | 04/17 | 04/18 | 04/20 | |

04/23 | 04/24 | 04/25 | 04/27 | |

05/04 |

**Legend:**

Chapter 12 | Chapter 13 | Chapter 14 |

Chapter 15 | Chapter 16 | Chapter 17 |

Exam | No Class |

For HW due dates, check WebAssign's calendar. (But basically you will have a HW due every Wednesday at 11:59pm.)

### Recitations

I will lecture on MWF and on Tuesdays you will have recitation
with a Teaching Assistant. **Attendance to recitation is
mandatory!** I will often leave details and examples to be done
by the TAs during recitation. In a few occasions I might even ask
them to introduce something new, not done in class before.
Therefore it is essential that you attend recitations.

Besides seeing more examples, you will have the opportunity to
have your questions answered in recitation. Although I will take
questions in class, the schedule is really tight, so I will not be
able to use much of the class time to this very important part of
the learning process. (I might have to just say *"Ask your TA in
recitation"*.)

Note that although the schedule put recitation on a one hour and
fifteen minutes block, the actual recitation is only *fifty
minutes* long.

Information about the TAs, including their e-mails, offices and office hours are above.

### Exams

We will have four midterms and a final. Here is some more information (as described above):

**Midterm 1:**Sections 12.1-5, 12.7, on 02/06 (Tue).**Midterm 2:**Sections 13.1-3, 14.1-4, on 02/27 (Tue).**Midterm 3:**Sections 14.5-8, 15.1-3, on 03/27 (Tue).**Midterm 4:**Sections 15.4-6, 16.1-3, on 04/17 (Tue).**Final:**comprehensive, on 05/04 from 8am to 10am.

Note that the final is
during the
time scheduled by the university. The midterms will all
be *during recitation* on Tuesdays. Note that they are *50
minute exams*!

All exams, midterms and final, are, of course, closed books and
notes. Also, **no calculators will be allowed**, but the numbers
should be simple.

**You are required to bring your UT ID to all exams!** If you
are not able to show your ID if asked, *you will get a zero*
(unless some suitable arrangement can be made with your TA).

Finally, **it is your responsibility to keep all your graded
midterms**! It is very important to have them in case there is any
problem with your grade, such as a typo made by one of us when
entering your grades in Canvas. You can check all your scores
in Canvas.

### Grading Scale

We will use the *usual* grading scale to assign letter grades:

Grade Range | Letter Grade |
---|---|

90 (including) and above | A |

above (and including) 87 and below 90 | A- |

above (and including) 83 and below 87 | B+ |

above (and including) 80 and below 83 | B |

above (and including) 77 and below 80 | B- |

above (and including) 73 and below 77 | C+ |

above (and including) 70 and below 73 | C |

above (and including) 67 and below 70 | C- |

above (and including) 63 and below 67 | D+ |

above (and including) 60 and below 63 | D |

above (and including) 57 and below 60 | D- |

below 57 | F |

The *might* be a curve the course averages at the very end, if I feel it's granted,
but there is no guarantee. The only way to make sure you get, say,
a B-, is to have a course average of 77 or above. (Note that 77 is
a *guaranteed* B-, a curve, if any, will only help.)

There will be no curve for individual midterms.

### Homework Policy

Homework on this course will be done through WebAssign.

To access WebAssign:

- Go to WebAssign.net and click on the red login button in the upper right corner. (Note: there is no class key.)
- Login using your UT email (netid@vols.utk.edu).
- If you already have a Cengage/WebAssign account (for example, from a previous course), use the password associated with that account.
- If you do not already have a Cengage/WebAssign account (never used it before), use the password that I created for you. (These are available as an announcement in Canvas.)
- If neither of the options above work for you, click on “Forget?” next to the password box. This will allow you to reset the password. (Again, use your vol.utk.edu e-mail!)

- Now you can choose
*Verify*or*I’ll Do It Later*.*Verify*will prompt you to purchase an access code or enter an access code you have already purchased.*I’ll Do It Later*will allow you to continue your free trial (of 14 days). (Some might have bought "lifetime" access to our book in a previous course, some might have bought a single semester. The former will not have to buy access again, but the latter will! If you are not sure, you can call the WebAssign Tech Support at 800-955-8275.) - I will update rosters daily to pick up recently added students. If you log in to WebAssign (using you @vols.utk.edu e-mail) and don't see our course listed, e-mail me asking to add you to the roster.

Here are some other resources:

- Quick Start Guide.
- WebAssign Dos and Don'ts. (This is a Google Document. To view it you have to access it using you UT Google account, meaning you have to be logged in with your NetID and password. If you are logged in using a different Google account, you can either logout or use a "private window" (Ctrl+Shift+n in Chrome, or Ctrl+Shitf+p in Firefox).)
- Here is a video on how to use the "CalcPad" and "GraphPad": http://youtu.be/FLu88DKVYFY.
- Here is video on how to find "Practice Another Version" from past due assignments (so you can practice more before the test): http://screencast.com/t/RZDAFjWyi1. (Requires Flash.)

You can check assignments and due dates for your HWs in WebAssign
(they will *not* show on Canvas's calendar!), but you will have
HWs mostly due on Wendesdays at 11:59pm, so that you can ask for
help on recitation on Tuesday. *I strongly recommend you start
working on it early!* It will give you more time and will help
you keep up with the lectures!

You have 10 attempts to submit an answer (in WebAssign), but *after
the third attempt, you are penalized with 20% of the value of the
question or part!* (The point is that you should not guess!)

You can save an answer instead of submitting it. This will not
count as an attempt. **But, do not forget to later actually submit
your answer! Saved answers are not graded!**

You can turn in late HWs. A request for extension in WebAssign will be automatically granted:

- The cut off date (to ask for extension
*and*finish the late HW) is 10 days after the HW is due.*The only exception is the last HW, for which the cut off date will be the day before the final!* - You can get up to three automatic extensions (within the 10 days after the due date).
*Each*automatic extension granted will incur an*extra*penalty of 10% of the remaining value of the question. (Parts you've already answered on time and submitted will not be penalized!)- Each automatic extension gives you two extra days from the date of your request, as long as it stays within the cut off date (10 days after the due date). So, if you ask for an extension after, say, 5 days of the due date, you will get another 2 days. If you ask for an extension after 9 days and 23 hours from the due date, you will get only one hour.

** If you are having trouble with WebAssign, contact them
first!** You
can Create
a Support Case or call them
at 800-955-8275.

You *can* contact me if the problem occurs close to the due
date, in which case, if I can confirm the problem, I can give
you (or the whole class) an extension, but in general *I
cannot help you with technical difficulties*.

In the past, there were a few problems that caused assignments to
be postponed due to technical problems with WebAssign, but keep in
mind that you should not leave things for the last minute.
Also, ** I strongly recommend you get a print out of the
assignment early**. That way, you can work on the HW even if
WebAssign is down (and later just enter your results).

All HW assignments for the whole course are already
available, **but the dates are still tentative**! (You can start
at anytime.) So, watch the calendar on WebAssign for changes.

Each HW set is composed of two of three different sections. For
example, HW1 is due on 01/24 and covers sections 12.1, 12.2 and
12.3. (Check WebAssign for the other HW sets.) I will drop the
lowest scores of *four sections*, not four HW sets. But this
should help with any unexpected problem you might have to complete
one of your HWs.

Besides the problems assigned in WebAssign, you should also work
on the Additional Homework Problems. These
were problems that were not available in WebAssign, but I consider
them important. Although you will *not* turn any of those for
grade, they are still part of the HW and *I urge you to do them*.

**Calculators will not be allowed in exams!** Thus, you should
try to avoid using it in your HW too! You should only use it if
numbers get "messy", which I will make sure it will not happen in
the exam. This is a difficult decision as computer experimentation
can be quite useful. But I believe one should understand well the
process before delegating it to computers/calculators.

In my opinion, doing the HW is one of the most important parts of the learning process, so urge you to take it seriously and to work very hard on every assignment. It will pay off when preparing (and taking) exams!

Also, you should try to come to my office hours or your TA's if
you are having difficulties with the course. We will do our best to
help you. Please try to come during our *scheduled* office hours,
but feel free to make an appointment if that would be impossible.

### How to Be Successful in this Course

*Study hard!*- Make sure you remember and can apply the material from Math 141 and 142. (Review the material if necessary!)
- Write formulas, techniques, and statements of main theorems and results for quick reference (and to help you memorize them).
- Review the material before classes, so that you can follow the lectures.
- Do your HW
*properly*. Work hard, and don't go looking for help from others before you tried for a while and looked back at examples from class and textbook for similar problems.*You will only learn by working on problems!* - Don’t let a HW problem "pass". You should always try to find how to solve every problem.
- Look for help if you are having trouble (after trying hard): ask friends, TAs or me. (You can also post on Piazza (see below), but it might be hard to offer much help there.)
- If you can’t do a problem and do get help on it:
- Look for what you were missing! (Did you forget a formula
or theorem? Were you missing a particular idea?)
*Seeing the solution won’t help if you don’t get anything out of it*. - Go back to the problem a couple of days later and redo it by yourself.

- Look for what you were missing! (Did you forget a formula
or theorem? Were you missing a particular idea?)
- Ask questions in class and recitation.
- Do more problems when studying for exams. Redo old problems (especially those with which you had difficulty) and try new problems from the textbook.
*Study hard!*(Did I say that already?)

### Piazza (Discussion Board)

We will use Piazza for online discussions. The advantage of Piazza (over other discussion boards) is that it allows us (or simply me) to use math symbols efficiently and with good looking results (unlike Canvas). Also, unlike Canvas, you can post anonymously in Piazza.

To enter math, you can use LaTeX code, which is quite useful to people who know it, like myself. But it also has an equation editor, that enters the LaTeX code for you. (Here is a video tutorial on how to use the equation editor.) But even if you can't enter nicely formatted equations, you can still just use words or describe your problem, while I can enter math in my answers, making it easier for all to read it.

You can access Piazza directly here: https://piazza.com/utk/spring2018/math241/home. (There is also a link at the "Navigation" section on the top of this page and on the Links section.)

To keep things organized, I've set up a few different folders/labels for our discussions:

*Chapters, HW and Exams:*Each chapter, HW set and exam has its own folder. Ask question related to each chapter or exam in the corresponding folder.*Course Structure:*Ask questions about the class, such as "how is the graded computed?", "when is the final?", etc. in this folder. (Please read the Syllabus first, though!)*WebAssign:*Ask questions about the usage of WebAssign, like "how do I do [something] in WebAssign?" or "is WebAssign down or is it just me?".*Feedback:*Give (possibly anonymous) feedback about the course using this folder.*Other:*In the unlikely event that your question/discussion doesn't fit in any of the above, please use this folder.

I urge you to use Piazza often! (This is specially true
for *Feedback*!) If you are ever thinking of sending me or
your TA an e-mail, think first if it could be posted there. That
way my (or someone else's) answer might help others that have the
same questions as you and will be always available to all. (Of
course, if it is something personal (such as your grades), you
should e-mail me or your TA instead.)

Note that you can post anonymously. *(Just be careful to check
the proper box!)* But please don't post anonymously if you
don't feel compelled to, as it would help me (and the TAs) to know
you, individually, much better.

Students can (and should!) reply to and comment on posts on Piazza. Discussion is encouraged here!

Also, please don't forget to choose the appropriate folder(s)
(you can choose more than one, like a label) for your question.
And make sure to choose between *Question*, *Note*
or *Poll*.

When replying/commenting/contributing to a discussion, please do so
in the appropriate place. If it is an answer to the question, use
the *Answer* area. (**Note:** The answer area for students
can be edited by other students. The idea is to be a collaborative
answer. Only one answer will be presented for students and one from the
instructor. So, if you want to contribute to answer already posted,
just edit it.) You can also post a *Follow Up* discussion
instead of (or besides) an answer. There can be multiple follow
ups, but don't start a new one if it is the same discussion.

**Important:** Make sure you set your "Notifications Settings"
on Piazza to receive notifications for all posts: Click on the gear
on the top right of the Piazza site, the choose "Account/Email
Setting", then "Edit Email Notifications" and then
check "Automatically follow every question and note". Preferably,
also set "Real Time" for both new and updates to questions and
notes. *I will consider a post in Piazza official
communication in this course, I will assume all have read every
single post there!*

You can also use Piazza for *Private Messages*. I'd prefer
you use e-mail to talk to me, unless it is a math question (in which
either you or I would need to enter math symbols) that cannot be
posted for all (such as an HW question). You can also send
private messages to fellow students, but keep in mind that *I can
see those too*! (So, not really that private...)

You should receive an invitation to join our class in Piazza via your "@tennessee.edu" e-mail address before classes start. If you don't, you can sign up here: https://piazza.com/utk/spring2018/math241. If you've register with a different e-mail (e.g., @vols.utk.edu) you do not need to register again, but you can consolidate your different e-mails (like @vols.utk.edu and @tennessee.edu) in Piazza, so that it knows it is the same person. (Only if you want to! It is recommended but not required as long as you have access to our course there!) Just click on the gear icon on the top right of Piazza, beside your name, and select "Account/Email Settings". Then, in "Other Emails" add the new ones.

**Important:** Please, if at all possible, come see us (me or
the TAs) instead of posting *math* questions on Piazza. (This
is only for *math* questions!) Replying in Piazza is time
consuming, especially with so many students, and much less efficient
than explaining in person.

Also, it goes without saying, *you cannot ask how to do HW
questions in Piazza!* Again, come see us with these sorts of
questions. If it is absolutely impossible, you may ask for hints
or clarifications, but not for how to do it.

### Missed Work

For late HW, see the section on Homework Policy above.

If you know you will have to miss a midterm *and have a
documented excuse* (see below), please make
arrangements *with your TA* (*not* with me) to try to
schedule an alternative day/time.

If other arrangements are not (or cannot be) made before hand,
missed midterms,
*with documented excuses* (see below), will be made up by the
part of the (comprehensive) final that corresponds to the missed
midterm.

More precisely: say you missed Midterm 3, which involved sections 14.5-8 and 15.1-.3, and say that in our final questions 3 and 4 are all the questions about the material of those sections. Then, the points you get in those questions of the final will make you Midterm 3 grade.

Your justification for missing an exam has to be processed by
the Office of the Dean of
Students, more
precisely, here.
Note that, as stated in the referred site, *final approval of all
absences and missed work is determined by the instructor.* (So,
just because you've submitted a justification through the Office of
the Dean of Students, it doesn't mean it will be accepted by me.)

### Communications and E-Mail Policy

As stated before: if you are thinking of writing an e-mail to me or one of the TAs, please ask yourself if you can ask the question in Piazza, in other words, is it a general question for which the answer might benefit other students.

If you don't think the question is appropriate for Piazza, you first should try to e-mail your TA instead of me. (There are too many of you, and I might not be able to answer all in a timely manner.) If the TA cannot answer, they can refer you to me (or they can ask me, and then reply to you). If your best judgment is that you should write me instead of your TA, of course, feel free to do just that.

The main exception when you should contact me directly instead of
your TA is for problems with WebAssign (with *WebAssign itself*,
not with a HW problem posted in WebAssign!) not fit for Piazza, as
the TAs will (mostly) not deal with that at all. If it is a
technical problem, though, try contacting WebAssign Tech Support
(800-955-8275) first!

You are *required* to set up notifications for Piazza (as
explained above) and for Canvas to be sent to
you *immediately*. For Canvas, check this
page
and/or this video on how to
set your notifications. *Set notifications for Announcements to
"right away"!* (Basically: click on the the profile button on
left, under UT's "T", then click "Notifications". Click on the
check mark ("notify me right away") for Announcements.)

Moreover, I may send e-mails with important information directly to you. I will use the e-mail given to me by the registrar and set up automatically in Canvas. (If that is not your preferred address, please make sure to forward your university e-mail to it!)

**All three (notifications from Piazza, notifications from Canvas
and e-mails) are official communications for this course and it's
your responsibility to check them often!**

### Feedback

Please, post all comments and suggestions regarding the course
using Piazza.
Usually these should be posted as *Notes* and put in
the *Feedback* folder/label (and add other labels if
relevant). These can be posted anonymously (or not), *just make
sure to check the appropriate option*. **Others students and
myself will be able to respond and comment.** If you prefer to
keep the conversation private (between us), you can send me
an e-mail (not anonymous),
or a private message in Piazza (possibly anonymous).

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## Legal Issues

### Conduct

All students should be familiar
with Hilltopics' Students
Code of Conduct and maintain their *Academic Integrity*:
from Hilltopics Academics:

Academic Integrity

Study, preparation, and presentation should involve at all times the student’s own work, unless it has been clearly specified that work is to be a team effort. Academic honesty requires that the student present their own work in all academic projects, including tests, papers, homework, and class presentation. When incorporating the work of other scholars and writers into a project, the student must accurately cite the source of that work. For additional information see the applicable catalog or the UT Libraries site. See alsoHonor Statement(below).

All students should follow the *Honor Statement* (also
from Hilltopics Academics):

Honor Statement

"An essential feature of the University of Tennessee, Knoxville, is a commitment to maintaining an atmosphere of intellectual integrity and academic honesty. As a student of the university, I pledge that I will neither knowingly give nor receive any inappropriate assistance in academic work, thus affirming my own personal commitment to honor and integrity."

You should also be familiar with the Classroom Behavior Expectations.

*We are in a honor system in this course!*

### Disabilities

Students with disabilities that need special accommodations should contact the Student Disability Services and bring me the appropriate letter/forms.

### Sexual Harassment and Discrimination

For Sexual Harassment and Discrimination information, please visit the Office of Equity and Diversity.

### Campus Syllabus

Please, see also the Campus Syllabus.

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## Links

- Canvas.
- WebAssign
- Piazza (Discussion Forum).
- UT Knoxville Home
- UTK's Math Department.
- Services for Current Students and MyUTK (registration, view your grades, etc.).
- Office of the Registrar
- Academic Calendars, including dates for add and drops, other deadlines, final exam dates, etc.
- Hilltopics.
- Students Disability Services
- Office of Equity and Diversity (includes sexual harassment and discrimination).
- Math Tutorial Center. (They might not be able to help you with this course, though...)
- My homepage

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## Handouts

- Campus Syllabus.
- Integration Review and solutions (by Heather Finotti).
- Here is the Midterm 1 and its solutions.
- Here is the Midterm 2 and its solutions.
- Here is the Midterm 3 and its solutions.
- Here is the Midterm 4 and its solutions.
- Here is the Final and its solutions.

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## Additional Homework Problems

The following problems were not available in WebAssign, but still
are part of your HW. Although they will *not* be turned in for
grade, *I urge you to do them*. (Similar problems might
appear in your exams).

**Section 12.1:**1, 22.**Section 12.2:**26, 48.**Section 12.3:**68.**Section 12.4:**None.**Section 12.5:**12, 26, 28.**Section 12.7:**12, 18, 20, 22, 25, 52, 54, 56, 58, 60, 64.**Section 13.1:**8, 10.**Section 13.2:**None.**Section 13.3:**4, 30.**Section 14.1:**8, 10, 12, 14, 16, 40, 42.**Section 14.2:**16, 20, 32, 34, 36.**Section 14.3:**14, 16.**Section 14.4:**12.**Section 14.5:**34, 60.**Section 14.6:**24.**Section 14.7:**2, 20, 50.**Section 14.8:**2.**Section 15.1:**None.**Section 15.2:**46, 48.**Section 15.3:**16, 20.**Section 15.4:**14, 42, 44.**Section 15.5:**18.**Section 15.6:**4.**Section 16.1:**6, 8, 10, 13, 16, 18, 19, 22.**Section 16.2:**42.**Section 16.3:**None.**Section 16.4:**36.**Section 16.5:**26.**Section 17.1:**None.**Section 17.2:**None.**Section 17.3:**None.

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