Math 301 Homework

Due Date Chapter Problems
1/221.16, 8, 12, 15, 21, 23, 26, 30, 32, 35, 40, 42, 45, 46, 52
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1/291.22, 7, 8, 10, 12, 16, 20
1.37, 8, 12, 13, 14
1.44, 6, 8, 12, 13, 19, 20
1.52, 4, 6, 9, 10
2/51.62, 6
1.74, 6, 7, 8, 12, 14
1.84, 6, 8, 11, 13, 14
2/122.11-15
2.27, 8, 11, 14
2/212.34, 7, 13
2.42, 3, 4
2.52, 4, 8, 10
2.62, 4, 10, 13
2.75, 6, 9, 10
2.94, 7, 9
2.102, 4, 6, 10, 11
3/5510, 18, 25, 30
3/1962, 4, 6, 10
4/475, 8, 10, 14, 18, 22, 32
4/988, 10, 14, 16, 22, 26
4/1696, 8, 10, 14, 26, 34
4/23104, 8, 10, 16, 20, 33
4/30GraphsDraw all trees on 5 vertices
Draw all connected graphs on 4 vertices
Draw all graphs (connected or disconnected) on 4 vertices
Verify that our theorems from class are satisfied for the examples you drew above.
Connected SpacesFor each of the following subspaces of R^n determine the interior points, whether or not the set is open, and whether or not the set is connected. Justify your answers as much as you can.
a. {1/n | n \in N}.
b. {(x,y) | x^2+y^2 = 1}
c. R^3-{0}
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