Real Variables/Principles of Analysis - Fall 2000

TR 4:30-5:50 in UGLC 214

Assigned
on:
Topic Section Problems
11/30/00 Weierstrass 5.8 1,2, Ex 6
11/28/00 Arzela-Ascoli 5.6 1+2,3+4, Ex 5
11/21/00 Int./Diff. 5.3 9,10,Ex 4
11/16/00 Int./Diff. 5.3 3+4,5+6,7,8,9,10,Ex 4
11/14/00 M-Test
Int./Diff.
5.2
5.3
1+2, 3+4, 5+6, Ex 1, Ex 2, Ex 5
3+4,5+6,7,8,9,10,Ex 4
11/9/00 Ptw. and Unif. Cv.
M-Test
Int./Diff.
5.1
5.2
5.3
Ex 3, Ex 5
1+2, 3+4, 5+6, Ex 1, Ex 2, Ex 5
3+4,5+6,7,8,9,10,Ex 4
11/7/00 Ptw. and Unif. Cv.
M-Test
5.1
5.2
1+2+3, 4, 6+7+8, 9+10, Ex 3, Ex 5
1+2, 3+4, 5+6, Ex 1, Ex 2, Ex 5
11/2/00 Series 2.9 4viii, 5+6, 7+8, Ex 1, Ex 2, Ex 3, Ex 4, Ex 5
10/31/00 Series 2.9 1+2, 3, 4, 5+6, 7+8, Ex 1, Ex 2, Ex 3, Ex 4, Ex 5
10/26/00 IV Theorem
Uniform Continuity
Series
4.5
4.6
2.9
Ex 3
1, 2, 3+4, Ex 3, Ex 7
1+2, 3, 4, 5+6, 7+8, Ex 1, Ex 2, Ex 3, Ex 4, Ex 5
10/24/00 Images
Operations
Min-Max
IV Theorem
Uniform Continuity
4.2
4.3
4.4
4.5
4.6
Ex 4, Ex 5
1, 2, Ex 3
Ex 1, Ex 3
1, Ex 2, Ex 3
1, 2, 3+4, Ex 3, Ex 7
10/10/00 Connection
Continuity
Images
3.5
4.1
4.2
Ex 3, Ex 4
1+2+3, 4, 6+7, Ex 1, Ex 5
1, 2, 3, 4, Ex 1, Ex 3, Ex 4, Ex 5
10/5/00 Path Connection
Connection
3.4
3.5
1+2+3, 4, Ex 1, Ex 2
1, 2, Ex 3, Ex 4
10/3/00 Heine-Borel
Nests
Path Connection
3.2
3.3
3.4
1, 2+3+4, Ex 4, Ex 5
1, Ex 4
1+2+3, 4, Ex 1, Ex 2
9/28/00 Compactness 3.1 4+5, 7+8+9, Ex 1, Ex 3
9/26/00 Compactness 3.1 1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3
9/21/00 Completeness
Compactness
2.8
3.1
6+7, 8+9, Ex 3, Ex 5
1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3
9/19/00 Completeness 2.8 1+2+3, 4, 6+7, 8+9, Ex 3, Ex 5
9/14/00 Sequences
Completeness
2.7
2.8
4+5, 6+7, Ex 3, Ex 5
1+2+3, 4, 6+7, 8+9, Ex 3, Ex 5
9/12/00 Boundary
Sequences
2.6
2.7
3+4+5, Ex 4, Ex 6
1+2, 3, 4+5, 6+7, Ex 3, Ex 5
9/7/00 Closure
Boundary
Sequences
2.5
2.6
2.7
1+2,4+6,Ex 4,Ex 5
1+2, 3+4+5, Ex 4, Ex 6
1+2, 3, 4+5, 6+7, Ex 3, Ex 5
9/5/00 Closed sets
Accumulation points
Closure
Boundary
2.3
2.4
2.5
2.6
3+5+6, Ex. 4
1+2,5+6+7,Ex.6
1+2,4+6,Ex 4,Ex 5
1+2,3+4+5,Ex 4, Ex 6
8/31/00 Open sets
Interior
Closed sets
2.1
2.2
2.3
7
1+2,3+4,Ex 5
1+2,3+5+6, Ex 4
8/29/00 Open sets
Interior
2.1
2.2
1+2,3,4+6+7
1+2,3+4


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