Math 405, Fall 2005

Schedule and homework

 

Week

Begins

Topic

Reading

Homework

1

Sep 12

Countable/uncount. sets

1.1-1.2

p. 13:  2, 3, 4, 5, 6, 7

2

Sep 19

Real numbers

1.4, 2.1-2

p. 37: 1, 3, 7, 9

p. 48: 5, 7, 10, 11

3

Sep 26

Limits and completeness

2.3, 3.1

p. 54: 2, 3, 7, 10

p. 84: 1, 2, 4, 7, 11

4

Oct 3

Open/closed sets,

compactness

3.2-3

p. 98: 2,5, 6, 7,8,9,11,13 14

5

Oct 10

Continuity

4.1-2

p.106: 1,2,3,6

p.125: 1,2,7,11

p.138: 3,4,7,8

6

Oct 18

Derivative

5.1

p. 153: 1,5,6,7

7

Oct 24

Derivative

5.2-3

p. 163:  1, 2, 8, 10, 11 

8

Oct 31

Taylor theorem

5.4

p. 176:  4, 5, 10

p. 192:  1, 3, 4, 14

9

Nov 7

Midterm week

 

M: review, T: midterm

10

Nov14

Integration

6.1

p. 217: 4, 8

p. 231: 6,9a, 10, 12

11

Nov21

Integration

6.2-3

p. 231: 4, 11, 15 (typo!)

p. 235: 1,3

12

Nov28

Complex series

7.1-3

p. 250: 7 (typo!)

p. 262: 1,4,5,6*(optional),13

p. 274: 3

13

Dec 5

Power series

7.4

p. 274: 7,8

p. 294: 7,8

14

Dec 12

Review

 

Last lecture: Dec 12