Schedule for Math 234
(Foundations of Mathematics)
Dates 
Text Reading Assignments 
Text Exercises for
Submission Exercises in red are due next class. Exercises in
green should already have been submitted. 
Text Exercises for
Practice Pay special
attention to exercises highlighted in purple. 
01/07 M 
Section 1.1 
Exercises
1.1: 1, 2, 3, 4, 6, 9, 10, 11, 12 Complete the
proof of Theorem 1.1.1 on the Section 1.1 Class Handout 
Exercises
1.1: # 1bg, 2cf, 3acei,
4acfg, 6aceg, 9c, 10ac, 11ace, 12ab 
01/08 Tu 



01/09 W 
Section 1.2 
Exercises
1.2: 1, 2, 3, 4, 5, 6, 7(For part (f),
complete the table here), 10,
12acdf(Complete the tables here),13bd, 14, 15, 16bcefg, 17 Complete the
proof of Theorem 1.2.2 on the Section 1.2 Class Handout 
Exercises 1.2: # 1adfj, 2adfj, 5ace, 6ac, 7bc,
10ade, 12b,
13ac, 16ad 
01/11 F 
Section 1.2 


01/14 M 
Section 1.3 
Exercises 1.3: 1, 2, 3, 4, 5, 6, 8, 9,
10, 13 (Look at #14, but you do not have to submit it; the answer is in the
back of the text.) Complete the
proof of Theorem 1.3.1 on the Section 1.3 Class Handout 
Exercises 1.3: # 1ahjlm, 2ahjlm, 8beh,
9bd, 10adfi,
11e, 13d,
14 
01/15 Tu 
Section 1.3 


01/16 W 
Section 1.4 
Exercises 1.4: # 5, 6, 7, 8a, 9a 
Exercises 1.4: # 1a, 2, 5h,
7bdgi, 8a with
n^{2} + n + 3 replaced by n^{2} + 3n + 5,
9d, 10 
01/18 F 
Section 1.4 


01/21 M 
Section 1.4 


01/22 Tu 



01/23 W 
Section 1.5 
Exercises 1.5: 3, 5, 6, 8, 13, 14, 15 
Exercises 1.5: # 1ace, 3c with x^{2} replaced by x^{4} and 4 replaced by 16,
6b, 10 
01/25 F 



01/28 M 



01/29 Tu 



01/30 W 



02/01 F 
Exam #1 

02/04 M 
Sections 1.6
& 1.7 
Exercises 1.6 & 1.7: 1.7‑2(b), 1.7‑2(a),
1.6‑1(h), 1.6‑1(d), 1.7‑3(b), 1.6‑1(b), 1.6‑4(a), Prove that
the polynomial x^{9} + x + 10 has a
real zero, Prove that
there is a positive real number x such that 3^{x} = x^{4}, 1.7‑3(c) 
Exercises 1.6: # 1ac, 2bc Exercises 1.7: #1ab, 4 with each plus
sign (+) changed to a times sign (´) 
02/05 Tu 



02/06 W 



02/08 F 
Section 2.1 
Section
2.1: # 2, 4bdfhj,
5bdfhjl, 7, 9, 14bd, 15bcdfh, 16bd, 17bdfhjl 

02/11 M 



02/12 Tu 



02/13 W 



02/15 F 
Section 2.2 
Section 2.2: # 1bdfhj, 2acefgij,
3bcefhi, 5, 6, 9defgh, 10abd, 11bdf, 12bc, 13ad, 16 Proof of
Theorem 2.2.1(l)(n) 

02/18 M 



02/19 Tu 



02/20 W 



02/22 F 
Exam #2 

02/25 M 



02/26 Tu 



02/27 W 
Section 2.3 
Section
2.3(In Exercises #1n, #1p, and #1q, n Î Z should be changed to n Î N): #1, 2, 6b, 8bd, 11, 12 Proof of
Theorem 2.3.2(d) 
Section 2.3: # 1acegi, 2acegi, 6a,
8c, 9ab, 10abcd 
03/01 F 



03/11 M 



03/12 Tu 



03/13 W 
Section 2.4 
Section 2.4: # 1ace, 2acd, 3, 4,
5abc, 6b*c*d*e*f*h*i*,
7a*e*h*j*m*, 8b*e* Use this Format
for Induction Proofs *Exercises
with an asterisk must be printed using a word processor and using
appropriate mathematical notation 
Section 2.4: # 1bdf, 2be, 6aj, 7bi,
8ac 
03/15 F 



03/18 M 



03/19 Tu 



03/20 W 



03/22 F 
Exam #3 

03/25 M 
Section 3.1 
Section 3.1: # 1, 2bdfgh, 3bdfgh,
4bdfhk, 5acefgh, 6bcefhiklmop, 7, 8, 9, 11 Complete the
proof of part (c) of Theorem 3.1.3 
Section 3.1: # 2ace, 3ace, 4acegi,
5bd, 6adgjn 
03/26 Tu 



03/27 W 



04/01 M 
Section 3.2 
Section 3.2: # 1bcdfghijkm,
2bcefgh, 4, 5acdefi, 6, 7bd, 8bcd, 9, 11,
12, 15b 
Section 3.2: # 1ael, 2ad, 4dg, 5h,
7acd, 8a, 15a 
04/02 Tu 



04/03 W 
Writing Assignment #8(extra credit) 


04/05 F 



04/08 M 
Section 3.3 
Section 3.3: # 2abcef, 3, 6, 7, 8 Complete the
proofs of Theorem 3.3.1 and Theorem 3.3.2(a) 
Section 3.3: # 3f, 8a, 11, 12, 13 
04/09 Tu 



04/10 W 
Section 4.1 
Section 4.1: # 1bcdefghi, 2, 3bcefgh,
4bcdef, 6, 10 
Section 4.1: # 1a, 3ad, 4a 
04/12 F 
Exam #4 

04/15 M 
Section 4.2: # 1bdfghj, 2bdfghj, 3bc,
8, 14bcde Complete the
proofs of all theorems 
Section 4.2: # 1acei, 2acei, 3ace,
12a 

04/02 Tu 
Section 4.3: # 1bdefghijl, 2bdefghijl,
9abd Complete the
proofs of all theorems 
Section 4.3: # 1ack, 2ack, 9c 

04/03 W 
Section 4.4: # 1ab, 2bcd, 3d, 5.1‑3 Complete the
proofs of all theorems 
Section 4.4: # 3b 

04/05 F 
Section 4.5: # 1b, 2bdef, 3, 4adef, 6 Complete the
proofs of all theorems 
Section 4.5: # 1a, 2ac, 4bc, 5, 10 

04/08 M 



04/09 Tu 



04/10 W 



04/12 F 



04/15 M 



04/16 Tu 



04/17 W 



04/19 F 



04/22to 04/26 
Final Exam given in scheduled timeslot 