Real Variables/Principles of Analysis

MW 3:00-4:20 in BH 143

Topic Section Problems
Open sets 2.1 1+2,3,4+6+7
Interior 2.2 1+2,3+4, Ex 5
Closed sets 2.3 1+2,3+5+6, Ex 4
Accumulation points 2.4 1+2,5+6+7,Ex 6
Closure 2.5 1+2,4+6,Ex 4,Ex 5
Boundary 2.6 1+2,3+4+5,Ex 4, Ex 6
Sequences 2.7 1+2, 3, 4+5, 6+7, Ex 5
Completeness 2.8 1+2+3, 4, 6+7, 8+9, Ex 3, Ex 5
Compactness 3.1 1+2, 3, 4+5, 7+9, Ex 1, Ex 3
Heine-Borel 3.2 1, 2+3+4, Ex 4, Ex 5
Nests 3.3 1, Ex 4
Path Connection 3.4 1+2+3, 4, Ex 1, Ex 2
Connection 3.5 1, 2, Ex 3, Ex 4
Continuity 4.1 1+2+3, 4, 6+7, Ex 1, Ex 5
Images 4.2 1, 2, 3, 4, Ex 1, Ex 3, Ex 4, Ex 5
Operations 4.3 1, 2, Ex 3
Min-Max 4.4 Ex 1, Ex 3
IV Theorem 4.5 1, Ex 2, Ex 3
Uniform Continuity 4.6 1, 2, 3+4, Ex 3, Ex 7
Series 2.9 1+2, 3, 4, 5+6, 7+8, Ex 1, Ex 2, Ex 3, Ex 4, Ex 5
Ptw. and Unif. Cv. 5.1 1+2+3, 4, 6+7+8, 9+10, Ex 3, Ex 5
M-Test 5.2 1+2, 3+4, 5+6, Ex 1, Ex 2, Ex 5
Int./Diff. 5.3 3+4,5+6,7,8,9,10,Ex 4
Spaces of Continuous Functions 5.5 1,2,3,4,5,6
Arzela-Ascoli 5.6 1+2,3+4, Ex 5
Weierstrass 5.8 1,2, Ex 6


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