Analysis - Fall 1999

MR 4:30-5:50 in BH 130

Assigned
on:
Section(s) Title Problems
12/2/99 5.6
5.8
Arzela-Ascoli
Stone-Weierstrass
2 (1/2 left), 3+4, Ex 5
1, 2
11/29/99 5.5
5.6
5.8
Space of Cont. Fcts.
Arzela-Ascoli
Stone-Weierstrass
2, 3
1+2, 3+4, Ex 5
1, 2
11/18/99 5.3
5.4
Int./Diff.
Elem. Fcts.
3+4, 5+6, 7, 8, 9, 10, Ex 4
1+2, 3+4, 5+6, 7, 8+9, 10+11, p.263-266, 12, Ex 2, Ex 3, Ex 4, Ex 5
11/15/99 5.2
5.3
M-Test
Int./Diff.
2, 3+4, 5+6, Ex 1, Ex 2, Ex 5
1+2, 3+4, 5+6, 7, 8, 9, 10, Ex 4
11/8/99 5.1
5.2
5.3
Ptw. and Unif. Cv.
M-Test
Int./Diff.
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
1+2, 3+4, 5+6, 7, 8, 9, 10, Ex 4
Reading Assignment 4.7, 4.8
11/1/99 2.9 Series 1+2, 3, 4, 5+6, 7+8, 9, Ex 1 Ex 2, Ex 3, Ex 4, Ex 5
10/28/99 4.6
2.9
Uniform Continuity
Series
1, 2, 3+4, Ex 3, Ex 7
1+2, 3, 4, 5+6, 7+8, 9, Ex 1 Ex 2, Ex 3, Ex 4, Ex 5
10/25/99 4.4
4.5
4.6
Min-Max
IV Theorem
Uniform Continuity
Ex 1, Ex 3
1, Ex 2, Ex 3
1, 2, 3+4, Ex 3, Ex 7
10/21/99 4.2
4.3
4.4
4.5
4.6
Images
Operations
Min-Max
IV Theorem
Uniform Continuity
1, 2, 3, 4, Ex 1, Ex 3, Ex 4, Ex 5
1, 2, Ex 3
1, Ex 1, Ex 3
1, Ex 2, Ex 3
1, 2, 3+4, Ex 3, Ex 7
10/11/99 3.5
4.1
4.2
Connection
Continuity
Images
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
10/7/99 3.4
3.5
Path Connection
Connection
1+2+3, 4, Ex 1, Ex 2
1, 2, Ex 3, Ex 4
10/4/99 3.2
3.3
3.4
Heine-Borel
Nests
Path Connection
Ex 5
1, Ex 4
1+2+3, 4, Ex 1, Ex 2
9/30/99 3.1
3.2
3.3
3.4
Compactness
Heine-Borel
Nests
Path Connection
Ex 3, Ex 5
1, 2+3+4, 5, Ex 4, Ex 5
1, Ex 4
1+2+3, 4, Ex 1, Ex 2
9/27/99 3.1 Compactness 3, 4+5, 7+8+9, Ex 1, Ex 3, Ex 5
9/23/99 3.1 Compactness 1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3, Ex 5
9/20/99 2.8
3.1
Completeness
Compactness
7, 8+9, Ex 3, Ex 5
1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3, Ex 5
9/16/99 2.8
3.1
Completeness
Compactness
4, 6+7, 8+9, Ex 3, Ex 5
1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3, Ex 5
9/13/99 2.7
2.8
3.1
Sequences
Completeness
Compactness
3, 4+5, 6+7, Ex 3, Ex 5
1+2+3, 4, 6+7, 8+9, Ex 3, Ex 5
1+2, 3, 4+5, 7+8+9, Ex 1, Ex 3, Ex 5
9/9/99 2.5
2.6
2.7
Closure
Boundary
Sequences
Ex 4, Ex 5
1+2, 3+4+5, Ex 4, Ex 6
1+2, 3, 4+5, 6+7, Ex 3, Ex 5
9/2/99 2.4
2.5
2.6
Accumulation points
Closure
Boundary
1+2, 5+6+7, Ex 6
1+2, 4+6, Ex 4, Ex 5
1+2, 3+4+5, Ex 4, Ex 6
8/30/99 2.1
2.2
2.3
Open sets
Interior
Closed sets
Ex 2
1+2, 3+4, Ex 5
1+2, 3+5+6, Ex 4
8/26/99 2.1
2.2
Open sets
Interior
1+2, 3, 4+6, 7, Ex 2
1+2, 3+4, Ex 5