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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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Add your name / see who's in!
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In the second day of the class, the professor continues on the definition of a field.
Definition of a field
Combined with a part from the first class, we have a complete definition as follow:
A field is a set "F' with two binary operations +,x defind on it, and two special elements 0 ≠ 1 such that
F1: commutative law
a, b 
F: a+b=b+a and a.b=b.a
F2: associative law
a, b, c F: (a+b)+c=a+(b+c) and (a.b).c= a.(b.c)
F3: the existence of identity elements
a F, a+o=a and a.1=a
F4: existence of inverses
0≠a Failed to parse (syntax error): {\displaystyle \in \!\}
F , \exists \!\, c, d \in \!\ </math> F such that a+c=o and a.d=1
