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Week of...
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Notes and Links
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1
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Sep 11
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About, Tue, HW1, Putnam, Thu
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2
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Sep 18
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Tue, HW2, Thu
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3
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Sep 25
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Tue, HW3, Photo, Thu
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4
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Oct 2
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Tue, HW4, Thu
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5
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Oct 9
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Tue, HW5, Thu
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6
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Oct 16
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Why?, Iso, Tue, Thu
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7
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Oct 23
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Term Test, Thu (double)
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8
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Oct 30
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Tue, HW6, Thu
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9
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Nov 6
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Tue, HW7, Thu
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10
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Nov 13
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Tue, HW8, Thu
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11
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Nov 20
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Tue, HW9, Thu
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12
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Nov 27
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Tue, HW10, Thu
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13
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Dec 4
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On the final, Tue, Thu
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F
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Dec 11
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Final: Dec 13 2-5PM at BN3, Exam Forum
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Register of Good Deeds
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![06-240-ClassPhoto.jpg](/images/thumb/8/82/06-240-ClassPhoto.jpg/180px-06-240-ClassPhoto.jpg) Add your name / see who's in!
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edit the panel
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Read sections 1.1 through 1.3 in our textbook, and solve the following problems:
- Note that the numbers
,
,
,
,
and
are all divisible by
. The following four part exercise explains that this is not a coincidence. But first, let
be some odd prime number and let
be the field with p elements as defined in class.
- Prove that the product
is a non-zero element of
.
- Let
be a non-zero element of
. Prove that the sets
and
are the same (though their elements may be listed here in a different order).
- With
and
as in the previous two parts, show that
in
, and therefore
in
.
- How does this explain the fact that
is divisible by
?
This assignment is due at the tutorials on Thursday September 28. Here and everywhere, neatness counts!! You may be brilliant and you may mean just the right things, but if the teaching assistants will be having hard time deciphering your work they will give up and assume it is wrong.