Math 505, Introduction to Proof, Spring 2018

HW1 due Mon 5th Feb

  1. Read the introduction and sections 1.1 and 1.2 in the text, do the explorations and GYHD's as you go.

  2. Write a paragraph or so describing what differences you noticed between your written solutions to the word problems in class today, and your verbal explanation to your partner.

  3. p16 1, 2, 5.

HW2 due Wed 7th Feb

  1. Read Section 1.3.

  2. Write up solutions to questions 1 and 4 on p37--38, hand in on Wed 7th Feb.

  3. Read Appendix B (Basic Ideas about Sets and Arithmetic.)

HW3 Due Wed 14th Feb:

  1. Write up solutions to questions 2, 3, 5 and 8 on p37--38, hand in on Wed 14th Feb. (You probably started Q2 in class.)

  2. Read Section 2.1, thinking about the GYHD and Explorations as you go.

HW4 Due Tue 20th Feb:

  1. Re-read any confusing parts of section 2.1 – especially “Set Builder Notation” on p45.

  2. Read Section 2.2

  3. p 53 Q 2, 5, 6, 8

HW5 due Mon 26th Feb

  1. Read section 2.3

  2. p 65 Q 1, 2, 5acegikmo

HW due Mon 5th Mar:

  1. Read section 2.3

HW6 due Wed 7th Mar:

  1. Read section 2.4

  2. p65 Q 6bcd

  3. p71-72 1,2,3,4

HW due Mon 12th Mar:

  1. Read section 3.1

HW7 due Wed 14th Mar:

  1. p80 Q 3, 4, 8, 9ace

HW due Mon 19th Mar:

  1. Read section 3.2

HW8 due Wed 21st Mar:

  1. p104 Q 1, 2, 3, 4, 6, 7

HW due Mon 26th Mar:

  1. Read section 4.1

HW9 due Wed 28th Mar:

  1. p124 Q 7, 9, 11, 14, 22bcdegh

HW10 due Mon 9th Apr 9:

  1. Read section 4.2 (you should have already read 4.1, feel free to read it again).

  2. p147 Q 7, 8, 9, 10, 13bc

HW11 due Mon Apr 16:

  1. Read section 5.1

  2. p146: 1, 2, 3, 4, 13a

  3. p167 2, 3cde, 5, 11abc

HW due Mon Apr 23:

  1. Read section 5.1

HW12 due Wed Apr 25:

  1. p 196: 4, 7ab, 10ab, 14b, 18abc

HW due Mon Apr 30:

  1. Read section 5.2

HW13 due Wed May 2:

  1. p 196: 3, 7cdef

  2. p 213: 1, 7

  3. Use the well-ordering principle to show unique factorization for integers.

HW due Mon May 7:

Read section 6.1

HW14 due Wed May 9:

  1. Read section 6.2

  2. p241: 4, 7, 8, 10aceg, 12, 14, 16