MATH 3450 - Foundations of Mathematics II

Class Information:

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.

Test Solutions:

Homework:

HW 1 -

Set builder notation

 

HW 2 - 

Set theory
  • Do these problems.   The solutions are here.
  • Do these problems from Chapter 8 of the Hammack book:     1,3,5,7,13,15,17,19,21,25,27,29.    The solutions are here.
  • Do these problems from Chapter 1 of the Hammack book: 1.8 #1,3,5,7,8,9,11,12.    The solutions are here.        

 

HW 3 -

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: #1,3,4,5,6,7,9(b),11,13,14,16.   The solutions are here.
  • Do these problems from Chapter 11 of the Hammack book: 11.2 #3,15;  11.3 #1,3,7,9,11;  11.4 # 3,5;  11.5 #1,3.  The solutions are here.  
  TEST 1 COVERS EVERYTHING BEFORE THIS POINT

HW 3 -

continued...
  • Do problems #4,5,6,7,8(e),9(e,f) from here.   The solutions are here.

 

HW 4 -

Functions
  • Do these problems.   The solutions are here.
  • Do these problems from Chapter 12 of the Hammack book: 12.2 #7,9; 12.4 #7,9; 12.6 #1,5,7,8,11     The odd numbered solutions are here.

Of particular interest, please make sure to do the proofs in HW 4 #14 and Hammack 12.6.
 

TEST 2 COVERS THE ABOVE (HW 3 continued and HW 4)

 

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.

 

Class Lectures Notes: