14-240/Classnotes for Monday September 8: Difference between revisions

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{{14-240:Dror/Students Divider}}
{{14-240:Dror/Students Divider}}










The real numbers a set '''R'''
with 2 binary operations +, *

+:'''R'''*'''R'''→'''R
'''
*:'''R'''*'''R'''→'''R
'''
in addition 2 special element 0,1∈ '''R'''
s.t. 0≠1 & furthermore:

R1: The commutative law (for both addition and multiplication)

For every a,b∈'''R''', we have
a+b=b+a & ab=ba

R2: The associative law

For every a,b,c∈'''R''', we have
(a+b)+c=a+(b+c)
(ab)c=a(bc)

in our lives
pretty little girls
(PL)G≠P(LG)


R3: a+0=a & a*1=a

Revision as of 15:31, 9 September 2014

DBN: Classes: 2014-15: 14-240 / Navigation
Welcome to Math 240!
(additions to this web site no longer count towards good deed points)
# Week of... Notes and Links
1 Sep 8 About This Class, What is this class about? (PDF, HTML), Monday, Wednesday
2 Sep 15 HW1, Monday, Wednesday, TheComplexField.pdf,HW1_solutions.pdf
3 Sep 22 HW2, Class Photo, Monday, Wednesday, HW2_solutions.pdf
4 Sep 29 HW3, Wednesday, Tutorial, HW3_solutions.pdf
5 Oct 6 HW4, Monday, Wednesday, Tutorial, HW4_solutions.pdf
6 Oct 13 No Monday class (Thanksgiving), Wednesday, Tutorial
7 Oct 20 HW5, Term Test at tutorials on Tuesday, Wednesday
8 Oct 27 HW6, Monday, Why LinAlg?, Wednesday, Tutorial
9 Nov 3 Monday is the last day to drop this class, HW7, Monday, Wednesday, Tutorial
10 Nov 10 HW8, Monday, Tutorial
11 Nov 17 Monday-Tuesday is UofT November break
12 Nov 24 HW9
13 Dec 1 Wednesday is a "makeup Monday"! End-of-Course Schedule, Tutorial
F Dec 8 The Final Exam
Register of Good Deeds
Class Photo
Add your name / see who's in!
14-240-Splash.png

We went over "What is this class about?" (PDF, HTML), then over "About This Class", and then over the first few properties of real numbers that we will care about.

Dror's notes above / Students' notes below






The real numbers a set R with 2 binary operations +, * 

+:R*R→R


*:R*R→R

in addition 2 special element 0,1∈ R s.t. 0≠1 & furthermore:

R1: The commutative law (for both addition and multiplication)

For every a,b∈R, we have a+b=b+a & ab=ba

R2: The associative law

For every a,b,c∈R, we have (a+b)+c=a+(b+c) (ab)c=a(bc)

in our lives pretty little girls (PL)G≠P(LG)


R3: a+0=a & a*1=a

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