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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

 

Writing Assignment #1

 

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

 

Writing Assignment #2

 

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

 

Writing Assignment #3

 

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  Z should be changed to n  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

 

Writing Assignment #4

 

03/11 M

 

Writing Assignment #5

 

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

 

Writing Assignment #6

 

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

 

Writing Assignment #7

 

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

 

Writing Assignment #9(extra credit)

 

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

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

Section 4.3: # 1bdefghijl, 2bdefghijl, 9abd

Complete the proofs of all theorems

Section 4.3: # 1ack, 2ack, 9c

04/03 W

Section 4.4

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

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