Homework assignments

for Math 124

 

 

 

Lectures

Sections in Text

Brief Description

Day 1:  9/24

I.1-I.4 and III.1

Exercise I.5.6 and III.1.3 to be presented orally on x-hour on October 7

(Changed from October 14. If anybody wishes we can keep the previous due

date of October 14 but I thought it would be better to look at the problem sooner than that.)

Day 2:  9/26

III.2 and III.3

Exercise III.2.7 and III.3.1 to be presented orally on x-hour on  October 7

Day 3:  9/29

III.3 and III.4

Exercise III.4.2 and III.4.6 to be presented orally on x-hour on October 7

Day 4:  10/1

III.5 and III.6

Exercise III.5.3  to be presented orally on x-hour on October 7

Day 5:  10/3

III.6 and start III.7

Exercise III.7.1 to be presented orally on x-hour on October 7 (After this moment we shall have written homework for some time.)

Day 6:  10/6

III.7 and III.8

Exercise III.6.1 (we needed this fact during the last lecture) and Exercise III.8.2 in written form due Monday 10/13

x-hour   10/7

Oral presentation of homework exercises

 

Day 7:  10/8

III.9

Exercises III.9.3 and III.9.4 in written form due 10/13 

10/10 No class

 

 

Day 8:  10/13

 IV.1

Exercise IV.1.3 in written form due 10/20 

Day 9 10/14 x-hour instead

of Friday 10/10

IV.2 and start IV.3

Exercises IV.2.1 and IV.3.2 in written form due 10/20

Day 10:  10/15

IV.3 and IV.4

Exercise IV.3.6 in written form due 10/20

Day 11:  10/17

IV.4 and start IV.5

Exercise IV.5.2 in written form due 10/27

Day 12:  10/20

IV.5

No homework

Day 13:  10/21

 x-hour instead of Friday 10/24

IV.6

Exercise IV.6.2 due Monday 10/27

Day 14:  10/22

IV.7

Exercises IV.6.5 and IV.7.2 due 10/27

10/24 Homecoming weekend no class

 

 

Day 15:  10/27
Takehome Midterm Exam
and the lecture

IV.8

Exercise IV.8.1 due 11/3

Day 16:  10/29

IV.9

Exercise IV.9.5 due 11/3

Day 17:  10/31

V.1

Exercise V.1.6 due 11/3

Day 18:  11/3

V.2 and start V.3

Exercises V.2.9 and V.3.2 due 11/10

Day 19

x hour instead of 11/7-

V.3

Exercise V.4.2 due 11/10

Day 19:  11/5

V.4

No homework

Day 20:  11/7

No class

 

 

Day 21:  11/10

V.5 and start V.6

Exercises V.5.1 and V.5.6 in oral form due 11/19

Day 22:   11/11 x-hour

Finish V.6

Exercises V.6.1and V.6.4 in oral form due 11/19

Day 23:  11/12

V.7

Exercises V.7.4 and V.8.1 in oral form due 11/19

11/14 No class

 

 

Day 24:  11/17

V.8 and applications to the Frobenius’s  Theorem if we have time

Exercise V.8.1 in oral form due 11/19 and V.8.2 in written form due 11/24

Day 25:  11/18 x-hour

VI.1 and start VI.2

Exercises VI.1.1, and VI.2.5 in written form due 11/24

 11/19

Oral Homework Presentation

 

11/21 No class

 

 

Day 26:  11/24

VI.4

Exercise: Which ones of the following are boundaries of oriented manifolds: 1. disk, 2. product of two circles; 3. product of the circle and the 3-sphere, 4. Klein bottle, 5. projective space of dimension two, 6. Moebius strip. Explain your answer. In written form due 12/3

Day 27 11/25 x-hour

VI.5

Exercise VI.5.2 In written form due 12/3

Thanksgiving recess

11/26-11/30

 

 

Day 28:  12/1

VI.5, bordism groups, pairings between bordism and homology groups

Exercise: Show that the integral of closed 1-form on a 2-sphere over the equatorial circle is zero due 12/3.

Day 29:  12/3

 “Discussion of some research topics in topology”