Math 124
Fall 2010
Current Problems in Topology
Homework
This homework assigned during a week will
generally be due on Wednesday of the following week
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Lectures |
Sections in Text |
Homework |
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Wednesday September 22 |
Chapter 1 |
Exercise 1 on page 20 and exercise 17 on page 22. It is OK
to not completely formal in your solution. Due Wednesday September 29 in written form |
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Friday September 24 No class. Instead we have an x-hour on Tuesday September 28 |
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Monday September 27 |
Chapter 1 |
Exercise 24.a on page 25 and Exercise 1 on page 53 Due Wednesday October 6 in written form |
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Tuesday September 28 x-hour instead of the class on Thursday September 24 |
Chapter 2 |
Exercise 16 on page 22, Exercise 4 on page 53 Due Wednesday
October 6 in written form |
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Wednesday September 29 |
Chapter 2 |
Exercise 3.b on page 53 Due Wednesday
October 6 in written form |
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Friday October 1 |
Chapter 2 |
Exercise 8.a on page 54 Due Wednesday
October 6 in written form |
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Monday October 4 Note that Tuesday October 5 is the final day to establish
the course load |
Chapter 2 |
Exercise 20 on page 58 Due Wednesday
October 13 in written form |
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Wednesday October 6 Final day for electing to use the Non-Recording Option. |
Chapter 2 |
Exercise 25 on page 59 Exercise 27 on page 60 Due Wednesday
October 13 in written form |
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Friday October 8 |
Chapter 2 |
Problem 26.a on page 59 Due Wednesday
October 13 in written form |
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Monday October 11 |
Chapter 2 |
Exercise 31.a on page 60 Due Wednesday
October 20 in written form |
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Wednesday October
13 |
Chapter 3 |
Exercise 4 page 96 Due Wednesday
October 20 in written form |
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Friday October 15 |
Chapter 3 |
Exercise 14 on page 98 Due Wednesday
October 20 in written form |
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Monday October 18 |
Chapter 3 |
Exercise 25.a on page 102 Due Wednesday
November 3 in written form |
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Wednesday October 20 |
Chapter 3 |
Exercise 20 on page 100 Due Wednesday
November 3 in written form |
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Friday October 22 |
Lie brackets |
Compute the Lie bracket of the following vector fields X1 and X2 on R3 with
coordinates (x,y,z). X1(x,y,z)=x∂/∂y+
∂/∂x X2(x,y,z)=y∂/∂x+ ∂/∂z Due Wednesday
November 3 in written form |
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Monday October 25 Middle of the term presentation and
discussion should be done in the period Monday October 25- Friday October 29 |
Orientations |
No homework |
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Tuesday October 26 x-hour instead of the class on Friday October 28 |
Transversality,
Euler Class, |
. Exercise 1: Construct a nowhere vanishing vector field on
a torus S1 x S1 or prove that such does not exist. Same
question for a connected sum (S1 x S1)# (S1 x
S1)# (S1 x S1) Due Wednesday
November 3 in written form |
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Wednesday October 27 |
Oriented bordisms, Chapter 4 |
Chapter 4 Exercise 4 page 127 Due Wednesday
November 3 in written form |
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Friday October 29 No class. Instead we have an x-hour on Tuesday October 26.
Have a nice homecoming weekend J |
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Monday November 1 Note that Tuesday November 2 is the final day for
dropping the fourth course |
Chapter 4 |
Chapter 4 Exercise 2, page 127 Due Wednesday
November 10 in written form |
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Wednesday November 3 |
Chapter 4 |
No homework Due Wednesday
November 10 in written form |
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Friday November 5 |
Chapter 7 |
Due Wednesday
November 10 in written form |
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Monday November 8 |
Chapter 7 |
Chapter 7 Exercise 5 page 228 Due Wednesday
November 17 in written form |
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Wednesday November 10 |
Chapter 7 |
Chapter 7 Exercise 6 page 228 Due Wednesday
November 17 in written form |
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Friday November 12 Final day to withdraw from a course |
Chapter 7 |
Chapter 7 Exercise 21 page 235 Due Wednesday
November 17 in written form |
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Monday November 15 |
Chapter 7 |
No homework |
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Tuesday November 16 x-hour instead of the class on Friday November 19 |
Chapter 7 |
No homework |
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Wednesday November
17 |
Chapter 8 |
Chapter 8 Exercise 2, page 284 and Exercise 7 page 287 (Hint:
recall the proof from the Calculus class of the fact that if the integral of
a vector field along every closed curve in R3 is zero then the
vector field is the gradient vector field of some function.) Due Monday
November 29 in written form |
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Friday November 19 No class, instead we have an x-hour on Tuesday November 16 |
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Monday November 22 |
Chapter 8 |
Chapter 8 Exercise 10 parts a and b on page 288 Will be counted as one exercise Chapter 8 Exercise 10 parts c and d on page 288 Will be counted as one exercise Due Wednesday
December 2 in written form |
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Thanksgiving
recess: starts at 5:50 PM on Tuesday
November 23 and ends at 7:45 AM on Monday November 29 |
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Monday November 29 |
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Wednesday December 1 |
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Thursday December 2-Friday December 3 Pre-Examination Break |
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End of the term presentation and
discussion should be done in the period Thursday December 2 – Tuesday
December 6 Final Examinations begin on Saturday December 4 and end
on Wednesday December 8 |
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