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===Solutions=== |
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===Solutions=== |
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Anne maybe you can help me again to create a page of solution. I tried but I don't know how to do so. |
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But the solution still goes here! |
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[http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG page1] |
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[http://katlas.math.toronto.edu/drorbn/images/e/ec/10-327a401.JPG page1] |
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[http://katlas.math.toronto.edu/drorbn/images/5/59/10-327a402.JPG page2] |
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[http://katlas.math.toronto.edu/drorbn/images/5/59/10-327a402.JPG page2] |
Latest revision as of 21:44, 10 December 2010
Additions to the MAT 327 web site no longer count towards good deed points
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#
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Week of...
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Notes and Links
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1
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Sep 13
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About This Class, Monday - Continuity and open sets, Thursday - topologies, continuity, bases.
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2
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Sep 20
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Monday - More on bases, Thursdsay - Products, Subspaces, Closed sets, HW1, HW1 Solutions
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3
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Sep 27
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Monday - the Cantor set, closures, Thursday, Class Photo, HW2, HW2 Solutions
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4
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Oct 4
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Monday - the axiom of choice and infinite product spaces, Thursday - the box and the product topologies, metric spaces, HW3, HW3 Solutions
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5
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Oct 11
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Monday is Thanksgiving. Thursday - metric spaces, sequencial closures, various products. Final exam's date announced on Friday.
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6
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Oct 18
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Monday - connectedness in , HW4, HW4 Solutions, Thursday - connectedness, path-connectedness and products
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7
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Oct 25
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Monday - Compactness of , Term Test on Thursday, TT Solutions
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8
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Nov 1
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Monday - compact is closed and bounded, maximal values, HW5, HW5 Solutions, Wednesday was the last date to drop this course, Thursday - compactness of products and in metric spaces, the FIP
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9
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Nov 8
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Monday-Tuesday is Fall Break, Thursday - Tychonoff and a taste of Stone-Cech, HW6, HW6 Solutions
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10
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Nov 15
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Monday - generalized limits, Thursday - Normal spaces and Urysohn's lemma, HW7, HW7 Solutions
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11
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Nov 22
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Monday - and , Thursday - Tietze's theorem
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12
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Nov 29
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Monday - compactness in metric spaces, HW8, HW8 Solutions, Thursday - completeness and compactness
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13
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Dec 6
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Monday - Baire spaces and no-where differentiable functions, Wednesday - Hilbert's 13th problem; also see December 2010 Schedule
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R
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Dec 13
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See December 2010 Schedule
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F
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Dec 20
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Final exam, Monday December 20, 2PM-5PM, at BR200
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Register of Good Deeds
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Add your name / see who's in!
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See Hilbert's 13th
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Solutions
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page2
page3
page4
page5
page6
page7
page8
page9
page10
page11
page12
page13
page14
Math is like science. It is precise to the maximum. So whenever I write something in math I always want to make sure
that I am clear enough. Sets are sets functions are functions numbers are numbers. Math is also like art. It is a series
of arguments that we present to people to convince them what we believe is true. To some extent it is like politics or like
philosophy. I like to make my arguments simple, supplemented with diagrams and illustrations so that whenever I read
it I will be happy to believe what is written is true. However I still sin sometimes quoting big theorems without
actually fully understand them. But I try my best not to and present the simplest arguments that anybody could understand.-Kai