HOMEWORK
MTH 254H — Fall 2013
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Suggested Reading
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It is to your advantage to skim suggested readings as soon as possible, and to
read them again more carefully after the material is covered in class.
However, do not expect to master this material the first time around. Don't
worry; we'll cover it in class, after which the readings should make more
sense. But be warned: we will not always cover the material the same way it
is presented in the texts.
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Written Work
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It is your job to explain your work to me clearly and completely. Even though
homework is not a major part of the grade, it is a good idea to practice
presenting mathematical work — a skill which will likely affect your
score on exams.
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Here are some guidelines:
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Write legibly.
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Show your work — do not use "proof by erasure".
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Explain at least briefly what you're trying to do, don't just do it;
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Feel free to use technology when appropriate, but this must be clearly
documented.
(You do not need to document every keystroke, but it wouldn't hurt to
indicate explicitly what expression you evaluated, and what technology you
used.
No technology is permitted on quizzes and exams.)
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You may discuss homework problems with anyone you like, and you may use any
reference materials you like. However, you must write up the solutions
in your own words, and you must indicate what help you used.
Late homework will be corrected as a courtesy to you, but is not guaranteed to
receive credit.
Please write on one side only of each page, and please do not staple pages
together.
Assignments
Assigned lab writeups will be posted on the
announcement page, not here.
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Week 10
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Suggested reading:
§2.7–§2.10 in
this version of the text, namely
lines and planes,
motion in space,
arclength,
&
curvature.
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Assignment:
No homework this week.
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Week 9
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Suggested reading:
§4.4 & §2.5–§2.6 in
this version of the text, namely
Lagrange multipliers,
curves,
&
cross product.
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You may also want to read §4.5 & §2.7, namely
Lagrange multipliers using differentials
&
lines and planes.
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Assignment (due 12/4/13):
Complete the assignment sheet.
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Week 8
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Suggested reading:
§4.3 & §3.4 in
this version of the text, namely
directional derivatives,
&
optimization.
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Assignment (due 11/25/13):
Complete the assignment sheet.
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Week 7
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Suggested reading:
§2.1–§2.3 & §4.1–§4.2 in
this version of the text, namely
vectors,
dot product,
law of cosines,
gradient,
&
properties of the gradient.
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Assignment (due 11/18/13):
Complete the assignment sheet.
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Week 6
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Suggested reading:
§3.7 in
this version of the text, namely
change of variables.
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Assignment (due 11/11/13):
No homework this week.
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Week 5
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Suggested reading:
§3.2–§3.3 in
this version of the text, namely
chain rule
&
chain rule via tree diagrams.
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You may also want to read §3.5–§3.6, which are closely related
but cover slightly more advanced topics.
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Assignment (due 11/4/13):
Complete the assignment sheet.
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Week 4
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Suggested reading:
§3.1 in
this version of the text, namely
multivariable differential.
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You may also want to read the additional sections of the book listed on the
announcement page (dated 10/20/13).
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Assignment (due 10/28/13):
Complete the assignment sheet.
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Week 3
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Suggested reading:
§1.7–§1.9 in
this version of the text, namely
curvilinear coordinates,
curvilinear integrals
&
mass.
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Assignment (due 10/21/13):
(no assignment this week other than the lab writeup)
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Week 2
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Suggested reading:
§1.4–§1.6 in
this version of the text, namely
double integrals,
order of integration
&
triple integrals.
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Assignment (due 10/14/13):
Complete the assignment sheet.
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Week 1
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Suggested reading:
§1.1–§1.3 in
this version of the text, namely
single integrals,
surfaces
&
level sets.
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Assignment (due 10/7/13):
Complete the assignment sheet.
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Assignment (due 10/4/13):
Please send an email message to me at
tevian@math.oregonstate.edu.
Please include some information about yourself, such as your math/physics
background and your motivation for taking this class.
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I will assume that email is a reliable way to reach you unless you tell me
otherwise. If you don't check your email regularly, please let me know.
It is to your advantage to provide me with a campus email address, as there
are some things (such as grades) that I will not send elsewhere.