Math 141 Homework Assignments


I will be putting the assignments on this page (probably after the class).

 

Date Due

Set #

Problems

Comments

Thurs. Aug 31

1

Section 1.1 #4(a,b,d),8,10;  Section 1.2 #4(a,d), 6(a-e), 14, 18; Section 1.3 #3a,  #6(h,i), 7b;  Section 1.4 #19a, 22

Welcome aboard!

Homework 1 (scanned)

Tues. Sept. 5

2

Section 2.1  # 5b,7,11,13, 21, 25

Homework 2 (scanned)

Thurs. Sept 7

3

Section 2.2 #11(b,f,h), 12(a-f), 16,17, 29, 32

Homework 3 (scanned)

Tues. Sept 12

4

Section 2.3 # 5b, 8, 10, 15(b,e), 18

 

Thurs. Sept 14

5

Section 2.3  #19, 22, 26, 27. Section 2.4 # 3(a,c,e)

 

Tues. Sept 19

6

Section 2.4 # 3d, 4, 9, 10, 11, 12 (hint –use #11)

Cool article about new result on cardinalities of two infinite sets

Thurs. Sept 21

7

Section 2.4 #17, 23;  Section 3.1 #3, 23(b,c), 24

 

Tues. Sept 26

8

Section 3.2 #3(d,g,i), 4, 6(b,c), 12b, (13 – optional, just for fun)

You can use 6a to prove 6b. Note I changed problem 12 to just part b.

Thurs. Sept 28

9

Section 3.3  # 3, 4, 6, 8

We will also review for the midterm on Thursday – bring your questions.

Tues. Oct. 3

 

MIDTERM 1

Review sheet for midterm

Tues. Oct 10

10

Section 3.4 # 2 (a,b,g,h,i), 3,4,5, 7 (f,g,h)

Powerpoint slides:

Section 3.1, Section 3.2, Section 3.3, Section 3.4, Section 3.5, Section 3.6

Thurs. Oct 12

11

Section 3.4 #6, 7(a,b,c,e), 10, 12, 14, 15, 18c;  Section 3.5 #3

 

Tues. Oct 17

12

Section 3.5 #5, 7, 8, 9, 10a,

Hint on 7a.  Show that each of these open sets has a rational number in it and that these rational number are all different.  Hence the number of such sets can’t be uncountable. 

 

Hint on 8a.  Start with an open covering of T, extend this to an open cover of S (using the fact that T is closed) and then use the fact that S is compact to get a finite subcover (of S and then of T).

Thurs. Oct 19

13

Section 3.5 #2,6;  Section 3.6 # 3,7,8

 

Tues. Oct 24

14

Section 4.1 #4, 5, 6(a, b, c, d), 10

 

Thurs. Oct 26

15

Section 4.1  #7(a,e), 12, 13, 14   Section 4.2 #4a (just the first part)

 

Tues. Oct. 31

16

Section 4.1 #6f; Section 4.2 # 3a, 5(b,c,d,i,j,k,l); 8,12, 15c;

Section 4.3 #3(a,d)

(On problem 5 – no proof necessary, unless you want to, but maybe give an indication of why you gave your answer.

Thurs Nov. 2

17

Homework 17

 

Tues. Nov. 7

 

MIDTERM 2

Review sheet for midterm

Tues. Nov. 14

18

Section 5.1 #4, 6a, 13, 16

There is a typo in #4 – it should be x2 + 2x – 8.

Thurs. Nov 16

19

Section 5.1 #1,6c,14;  Section 5.2 #3,4,18

 

Tues. Nov. 28

20

Section 5.2 #6(a,d,e,f), 10,14, 16, Also, find a continuous function f: R --> R and an open set U such that f(U) is not open.  Can you also find a closed set C with f(C) not closed?

Happy Thanksgiving!!!


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