MAT 441
3/13/09
65 points
Exam 2
Name
Provide some justification for all nontrivial claims, to receive full credit. You may use any theorems stated in lecture without proof.
1.(12) (a) Suppose X is an innite set, endowed with the discrete topology. Prove
MAT 441
2/13/07 (due Wednesday 2/18)
60 points
Exam 1 (Take-home)
Name
Take-home exam rules: you may consult any published texts, but are not to consult with any human resource except the instructor by any means.
Hints are available from the instructor. N
MAT 441
4/17/09
70 points
Exam 3
Name
Provide some justification for all nontrivial claims, to receive full credit. You may use any theorems stated in lecture without proof.
1.(20) (a) Show that every integer n less than or equal to 2 occurs as the Euler-
MAT 4:41 Problem Set #1 Name
1f21/09 (due Nedmday 1/28/09)
1'0 pOIBtS Justify all answers. Unsupported answers may not receive fun Credit.
Denition Let X be a topological space, let - be a sequence of points of X ., and let E X. 'We say
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