MHF 3202 Homework Fall 2017

Problems from How to Prove It by Velleman

  • August 21: Read 1.1-1.3; do 1.1: 5, 6ab, 7c and 1.2: 4, 6, 7c
  •  August 23: Read 1.1-1.4; do 1.2: 8, 12, 17; 1.3: 2, 8, 1.4: 1
  • August 25: Read 1.4-1.5; do 1.4: 5, 7, 8, 12
  • August 28: Read 2.1-2.2; do 1.5: 2, 5, 6a by truth tables, 6b by logical equivalence, 10ab find a truth assignment for P,Q,R that makes one truth and the other false
  • August 30: Read 2.3, 3.1; do 2.1:2bd, 3ac, 5; 2.2: 7, 8 and analyze the precise definition of limit of a function f at a is L: for every number e>0, there is a number d>0 such that |f(x)-L|<e whenever 0<|x-a|<d.
  • September 1: Read 2.2-2.3; do 2.2: 6, 7, 8
  • September 4: no class (Labor day)
  • September 6: Read 3.1-3.2; do 2.3: 1A, 2AB, 8ab*, 10, 11, read 14
  • September 8: Hurricane Irma
  • September 11: Hurricane Irma
  • September 13: Hurricane Irma

    • September 15: Read 3.1 + 3.3 to middle of page 112; do 3.1: 5, and 6 using ordered field axioms, and 8; 3.3: 4, 9, 10;
    prepare to turn in on Monday the logical analysis of the precise definition of limit.

  • September 18: Read 3.2-3.3; do 3.2: 1, 2a, 3, 4, 11*
  • September 20:Read 3.3; do 3.3: 2, 12, 17, 18; prepare for review Friday
  • September 22: Prepare for Exam 1 on Monday: Chapters 1, 2, and 3.1-3.3
  • September 25: After Exam 1, read 3.4; do 3.4: 2, 4
  • September 27: Read 3.5; do 3.4: 5, 7, 11, 17, 19;
  • September 29: Skim 4.1-4.3; do 3.5: 2, 5
  • October 2: Read 4.4;
    do 4.1: 10, 12 (hint: use Theorem 4.1.3);
    4.2: 2b, 9;
    4.3: 12, 13, 14
  • October 4: Read 4.6; do 4.4: 1, 5, 6, 11, 17
  • October 6: Homecoming
  • October 9: Read 6.1; do 4.6: 1, 2, 10, 12
  • October 11: Read 6.2 to the middle of page 270 and read 6.3; do 6.1: 2, 7, 11, 12;
    Prepare to turn in on Friday a class style proof of the theorem of Example 6.1.2.
  • October 13: Read 6.3;
    do 6.2: 5, 6, 10*;
    prepare to turn in 6.3 Discussion Questions on Monday
  • October 16: Do 6.3: 1, 4, 10, 17
  • October 18: Read 6.1-6.3; Review for Exam 2; For next Monday, Read 3.6, 5.1; prepare discussion questions to turn in on Monday.
  • October 20: Exam 2 (Chapter 3, 4.4, 4.6, 6.1-6.3); Read 3.6, 5.1 and prepare discussion questions for Monday.
  • October 23: Read 5.1-5.2; do 5.1: 1, 7a, 8, 9
  • October 25: Read 5.3; do 5.2: 1, 6, , 8, 9a, 10bc;
  • October 27: Read 5.3; do 5.2: 1, 6, 7, 8a; do 5.3: 3, 5
  • October 30: Read 6.4; do 5.3: 5, 8, 9
  • November 1: Read 6.4; do 5.3: 11; 6.4: 4, 6a, and write out a class style proof of Theorem 6.4.2 to be turned in on Monday, November 6
  • November 3: Read 7.1 and 7.1 Discussion Questions; do 6.4: do 6.4: 7ad, 11, and 16a
    write out a class style proof of Theorem 6.4.2 ti be turned in on Monday at the beginning of class
  • November 6: Read 7.1; do 7.1: 6-8, 11;
    prepare to turn in at start of class your class style proof of Theorem 6.4.2.
  • November 8: Read 7.1; do 7.1: 14, 15, 16, 21 (one minute proofs)
  • November 10: Veteran’s Day holiday
  • November 13: Read 7.1; do 7.1: 2, 3, 4, 5 (one minute proofs allowed)
  • November 15: Read 7.2; do 7.2: 2, 3, 5c, 7, start work on a class style proof of 7.2: 4
  • November 17: Read 7.2; do 7.3: 1, 4, 6, and prepare a class style proof of 7.2: 4 to turn in on Monday
  • November 20: Turn in class style proof of exercise 7.2: 4; do 7.2: 5d
  • November 22: Thanksgiving holiday
  • November 24: Thanksgiving holiday
  • November 27: Read 7.3; do 1-3 with one minute proofs
  • November 29: Read 7.3; do 7.3: 1-4, 5a, 10 (in 5a you may assume A, B, C, and D are non-empty) (one minute proofs),
  • December 1: Review for Exam 3
  • December 4: Exam 3
  • December 6: Review for Exam 4
  • December 8: Reading day