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
n2 + n + 3 replaced by n2 + 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 x2 replaced by x4 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 x9 + x + 10 has a
real zero, Prove that
there is a positive real number x such that 3x = x4, 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 |
||