Math 505, Introduction to Proof, Spring 2019

HW due Wed Jan 30th

  1. Each group write up your strategy for Subdivvy and bring a copy to class.

HW due Mon Feb 4th

  1. Read: the syllabus, the introduction and Sections 1.1 and 1.2. Do the explorations and the GYHDs as you go.

HW due Wed Feb 6th

  1. p16 Q1, 2, 5

  2. Writing exercise: Write a couple of paragraphs describing what differences you noticed on the first day of class between your written solution to the classwork problem, and your explanation to your partner.

HW due Mon Feb 11th

  1. Read: Sections 1.3, 2.1, 2.2. Do the explorations and the GYHDs as you go (you don't need to hand these in).

HW due Wed Feb 13th

  1. p38 Q2, 3, 5, 8

  2. Writing exercise: What do you think will be the differences between this course and other math courses you’ve had? What do you think will be the most enjoyable aspect? What are you worried about?

HW due Wed Feb 20th

  1. Read Section 2.3

  2. p53 Q2, 5, 6, 8

  3. p65 Q1, 2, 5acegikmo

  4. Writing exercise: Have you been keeping up with your nightly reading assignments? If so, have you found it helpful to read the book ahead of time, and then have us spend class time getting deeper into the material by clarifying ideas and working examples? If not, why not? Do you feel you can understand most of what the book has to say? Do you spend at least a minute or two thinking about the Explorations and the GYHD’s as you go?

HW due Wed Feb 27th

  1. Read Section 2.4

  2. p71 Q1, 2, 3, 4

HW due Wed Mar 6th

  1. Writing exercise: How do you plan to study for the upcoming exam? When will you begin studying, and how many hours do you plan to invest? Will you study alone or with other students? What specific sorts of things will you do to study?

HW due Mon Mar 11th

  1. Re-read Section 2.4 starting with Proof by Contradiction on p74

  2. Read Section 3.1

HW due Wed Mar 20th

  1. p80 Q1, 3, 4, 8, 9ace

  2. Writing exercise: Are you happy with your grade on this exam? What do you feel you did right in preparing for this exam? What do you feel you did wrong in your preparations? What do you think you could do for this next exam in order to be better prepared? Are you honestly willing to do those things? Realizing that I may have reasons for not taking your suggestions, what do you think I could do differently in order to help you learn the material and master proof techniques better?

HW due Mon Mar 25th

  1. Read Section 3.2

HW due Wed Mar 27th

  1. p104 Q1, 2, 3, 4, 6, 7

  2. p124 Q6, 7, 8, 9, 11

  3. Writing exercise: Why haven’t you come to office hours (if you haven’t)? Is there anything I can do to increase the chances that you’ll come to office hours?

HW due Mon Apr 1st

  1. Read Section 4.1

HW due Wed Apr 3rd

  1. Do, but do not turn in: p 125 # 14 all. Prove all the true statements, and find counterexamples to the false ones.

  2. Turn in: p 124 Q 18bcdg, 19bc, 20abde, 22bcdegh

HW due Mon Apr 8th

  1. Read Section 4.2

HW due Wed Apr 10th

  1. Function fun pack Q 5, 6

  2. p167 Q 2, 3cde

  3. Writing exercise: How do you write a proof? How do you decide where you should start? How do you know what you are supposed to show? How do you know when your proof is done? What role do definitions play in proof writing? Why do we use quantifiers in mathematical statements? What role do they play in deciding how to structure your proofs?

HW due Mon Apr 29th

  1. Read Sections 5.1 and 5.2

HW due Wed May 1st

  1. p167 Q 3b, 5, 7, 9, 11abc
  2. p196 Q 4, 7ab

HW due Mon May 6th

  1. Read Sections 6.1 and 6.2

HW due Wed May 8th

  1. p196 Q 3, 7cdef, 10ab, 14b, and 18abc
  2. p213 Q1, 9

HW due Mon May 13th

  1. p242 Q 10aceg, 12, 14