Math 403/603 Foundations of Mathematics
Assigned Problems

The table below shows the assigned problems for each section of the text we will cover.  Please note:

  • Problems will be identified by section and number.  For example, 1.2: 3, 4, 5 indicates problems 3, 4, and 5 from section 1.2 of the text.
  • An x preceding a number indicates an extra problem not from our textbook.  These are presented in a separate page linked from the assignment sheet.
  • Format and content guidelines for regular problem sets and quiz problems are in the homework information page and the quiz problem format page.  
  • Regular Problems marked with ** are optional for undergrads, required for grad students.   Quiz Problems marked with ** are assigned only to grad students.
  • (PIP) on the due date means "put in portfolio."  This assignment will not be collected and checked, but should be put into the portfolio for review at the next exam.

Due Date

Regular Problems

Quiz Problems
1/24
1.1: 1abc, 2a, 6a, 9abc.    1.2:  7ab, 9,  10ab.
none
1/27
2.1: 1, 2, 4ac, 5acd, 7, 9.    2.2: 1ac, 4ac, 5a, 10.      2.3: 2Aab, 4ce, 5bde. 
2.4: 1c,  2b, 6ab, 8,  9,  10,
none
1/31
3.1  1ab, 2c, 3cef, 6c, 19.                              3.2: 3, 5, 6, 13, 19.    
3.3: 2a, 4, 5s, 6ab, 8, 9*, 11**, 14**, 20      3.4:  2, 3, 7,
2.2: x1, 2.4: 14
2/3
4.1: 1, 2, 3a, 6, 8, 18ab, 20, x1, x3, x4**, x5
3.2: 17a.  3.4: x1
2/7
4.2: 1ac, 2, 4, 7, 17,    x1, x2b**, x3.
4.3: 1, 2c, 7, 8, 12, x1, x2, x3
4.1: x2

2/10
Any exercises from 4.3 that were not turned in on 2/7
4.2: x2a

2/14
5.1: Note:  For some students this material may already be very familiar.  If you do not find the exercises valuable, feel free to skip them.  For problems marked AMAYN, only do as many parts as you need to be confident of the material.  1, 2, 4, 7AMAYN, 9, 10, (11, 12, 15, 16)AMAYN.
5.2: 1ab, 2ab, 6ac, 7abdf
4.3: 14
2/17
5.2: 8, 9, 11, 12a, 15abc, 17ab
5.3: 1abcd, 2, 3, 4abc,6a, 7ab, 11ab,12ab
None
2/21
(PIP)
5.4:: 1aef, 2bceg, 3, 5, 6, 9
5.5: 1ab, 2acgh, 3a, 4ab, 5a, 7ab, 8ab, 11
None
Exam 1  2/24/2017
3/7
Exam Solutions Group Project
None
3/3
6.1: 1, 3, 5ab, 6, 7, + extra problems 1, 2, 3, 5
None
3/7
6.2: 1, 3, 4ab, 5, 7, 9
6.1: x4
3/10
None
None
3/21
6.3: 1, 2, 3a-d, 5, 8, 10, 12, 13, 14, + extra problems 1, 3, 4 None
3/24
6.4:  1-6, 7abg, 8ab   
6.3: x2
3/28
6.5: 1ab, 2abcd, 3abc, 4, 5 6abc, 8abcde,10, 12abcd,13abc
6.4:  10
3/31
6.6: 1aceg, 2 (optional, do as many parts as you need in order to feel confident about these ideas),  3abcd, 7, 8ab,9ab, 11ab, 14
none
4/4
7.1:  1abcd, 2abcd, 4abcd, 5abc, 6abcd, 8bc, 9abcd none
Exam 2  4/7/2017
4/18
Exam Solutions Group Project
None
4/14
7.2: 1, 2a-e, 3, 5, 6ab, 9abc, 10ab, 11, 12,  15abc, extra problems 1 - 3.
None
4/18
7.3: 2, 4, 5ab, 6abc, 7a-e, 10a-d, 11ac.
7.2.x4
4/21
9.1: 1-4, 5a-d, 6, 7, 9
7.3.11b
4/25
9.2: 1a-d, 2a-e, 3, 4, 5, 9, 10, 12, extra problems 1&2
None
4/28
9.3:  1abc, 2, 3, 4, 5, 6acd (skip part b.  For part c, find an injection from [0,1] into (0,1) by defining a linear function from [0,1] to [1/3, 2/3].), 8, 10.  These problems won't be collected.  Put them in your portfolio for review at final.
None