Additions to this web site no longer count towards good deed points.
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Week of...
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Notes and Links
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1
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Sep 10
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About This Class, Tuesday, Thursday
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2
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Sep 17
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HW1, Tuesday, Thursday, HW1 Solutions
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3
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Sep 24
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HW2, Tuesday, Class Photo, Thursday
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4
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Oct 1
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HW3, Tuesday, Thursday
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5
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Oct 8
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HW4, Tuesday, Thursday
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6
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Oct 15
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Tuesday, Thursday
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7
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Oct 22
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HW5, Tuesday, Term Test was on Thursday. HW5 Solutions
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8
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Oct 29
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Why LinAlg?, HW6, Tuesday, Thursday, Nov 4 is the last day to drop this class
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9
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Nov 5
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Tuesday, Thursday
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10
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Nov 12
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Monday-Tuesday is UofT November break, HW7, Thursday
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11
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Nov 19
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HW8, Tuesday,Thursday
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12
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Nov 26
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HW9, Tuesday , Thursday
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13
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Dec 3
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Tuesday UofT Fall Semester ends Wednesday
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F
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Dec 10
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The Final Exam (time, place, style, office hours times)
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Register of Good Deeds
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![12-240-ClassPhoto.jpg](/images/thumb/f/fc/12-240-ClassPhoto.jpg/310px-12-240-ClassPhoto.jpg) Add your name / see who's in!
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In Preparation
The information below is preliminary and cannot be trusted! (v)
Read appendices A through D in our textbook (with higher attention to C and D), and solve the following problems:
- Suppose
and
are nonzero elements of a field
. Using only the field axioms, prove that
is a multiplicative inverse of
. State which axioms are used in your proof.
- Write the following complex numbers in the form
, with
:
.
.
-
- Prove that the set
(endowed with the addition and multiplication inherited from
) is a field.
- Is the set
(with the same addition and multiplication) also a field?
- Let
be a field containing 4 elements. Assume that
. Prove that
. (Hint: For example, for the first equality, show that
cannot equal
,
, or
.)
This assignment is due at the tutorials on Thursday September 27. 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.