MATH 3450 - Foundations of Mathematics II

Class Information:

Study guides:

  • Test 1 study guide (updated version --- what was changed is in red)
  • Test 2 study guide (note that the old test 2 has definitions but the study guide doesn't)
  • Final exam covers test 1 and test 2 topics.   See study guides above.

Some old tests to look at:

  • Test 1 from Fall 2019 and it's solutions.
  • Test 2 from Fall 2019 and it's solutions.
    (Note that test 2 above has definitions, but the study guide doesn't.   
    Also test 2 above doesn't have computations mod n, but we will have that on our test 2.)

Test solutions:

My notes from Fall 2019:
I'll be using these to teach the class.   
You can use them to look ahead if you want to.
The daily class notes are in the calendar below.

  • Fall 2019 notes
    (this file is 180 mb so it might a little bit of time to download)

Links:

  • Richard Hammack Book of Proof main page.    Here is the pdf for the book.   Here is the solutions manual.
  • Notes from Krebs, Pommersheim, and Shaheen.

Homework:

HW 1 -

Set builder notation

 

HW 2 - 

Set theory
  • Do these problems.   The solutions are here.
    Here is a picture for problem 9.
  • Do these problems from Chapter 8 of the Hammack book:     1,3,5,7,13,15,17,21,25.    The solutions are here.
  • Do these problems from Chapter 1 of the Hammack book: 1.8 #1,3,5,7,8,9,11.    The solutions are here.        

 

HW 3 - PART 1 - 

Equivalence relations, partitions, and modulo n
  • Do problems #1,2,3,8(a,b,c,d),9(a,b,c,d) from here.   The solutions are here.
  • Do these modulo n problems from here: #1,3,4,5,16.   The solutions are here.
  • Do these problems from Chapter 11 of the Hammack book: 11.2 #3,15;  11.3 #1.  The solutions are here.  

HW 3 - PART 2 - 

continued...
  • Do problems #4,5,6,7,8(e),9(e,f) from here.   The solutions are here.
  • Do these modulo n problems from here: #6,7,8,9(b),11.   The solutions are here.

 

HW 4 -

Functions
  • Do these problems.   The solutions are here.
  • Do these problems from Chapter 12 of the Hammack book: 12.4 # 7,9; 12.5 #6; 12.6 # 1,7,11     
    The odd numbered solutions are here.

 

HW 5 -

Cardinality of sets
  • Do the following problems from Chapter 14 of the Hammack book: 14.1 #1,5,7,9; 14.2 #1,3,7,9; 14.3 #1,3,7.     The odd numbered solutions are here.

 

Schedule and lecture notes:

Week

 Tuesday Thursday

1

1/23 - no notes

1/25 - lecture notes

2

1/30 - lecture notes


2/1 - lecture notes
                      

3

2/6 - lecture notes

2/8 - lecture notes                      

4

2/13 - lecture notes

2/15 - lecture notes

5

2/20 - lecture notes

2/22 - lecture notes

6

2/27 - lecture notes

2/29 - lecture notes

7

3/5 - lecture notes

3/7 - lecture notes

8

3/12 - lecture notes

3/14 - TEST 1 

9

3/19 - lecture notes

3/21 - lecture notes

10

3/26 - lecture notes

3/28 - lecture notes
  4/2 - SPRING BREAK 4/4 - SPRING BREAK

11

4/9 - lecture notes

4/11 - lecture notes

12

4/16 - lecture notes

4/18 - lecture notes

13

4/23 - lecture notes

4/25 - TEST 2

14

4/30 - lecture notes

5/2 - lecture notes

15

5/7 - lecture notes

5/9 - lecture notes
Finals
week


5/14 
                                     

5/16 -

FINAL
9:30am - 11:30am