- PRISM planning LaTeX workshop approx. Sept. 28. Watch for email.
- Math colloquium
- Hossein Shahmohamad, RIT
- “Graph Colorings & Chromatic Polynomial: Equivalence, Uniqueness,
Roots & More”
- Thursday, September 22, 4:00 PM, Newton 203
- Extra credit for attending and writing a 1- or 2-paragraph summary connecting the subject to your own interests, career goals, experience, etc.
- Truth tables in proofs?
- “Frame” them with initial prose that at least says you’re using a truth table and following prose saying what the truth table showed
- Treat them as displayed material, i.e., centered, no other prose to their left or right
- Finished LaTeX version
- First part of section 2.3
- Examples / problems
- Fix typo in preview activity 1: “we can think of the set of integers that
are greater than 4. …. This means that if we are given a specific
integer, we can tell whether or not it is in the set of all even
integers.”
- Second sentence here should be “…the set of all integers greater than 4”
- As written, the passage is talking about two different sets of integers, even though they overlap
- Roster notation: Write specifications for…
- The set of natural numbers between 1 and 5
- { 1, 2, 3, 4, 5 }
- Assuming “between” means including the ends
- The integers that are multiples of 5 but ≤ 500
- { …, -15, -10, -5, 0, 5, 10, 15, …, 500 }
- The set of natural numbers between 1 and 5
- Give some examples of empty sets
- {} = ∅
- Set of chalkboards in our classroom
- Set of numbers > 5 and < 5
- Any set of things satisfying a false statement
- What would be a reasonable universal set to take values of x from if I wanted it
to be true that for all possible values of x, there is some natural number y
such that y = x3?
- The set of natural numbers (they all have cubes that are naturals)
- The set of reals whose cubes are naturals (less satisfying because it just paraphrases the original question, but it includes possible values for x that the first doesn’t)
- Fix typo in preview activity 1: “we can think of the set of integers that
are greater than 4. …. This means that if we are given a specific
integer, we can tell whether or not it is in the set of all even
integers.”
- Problem set
- Predicates and set builder notation
- Read section 2.3 from “Variables and Open Sentences” through end
- Last 1/3 of page 56 through top 1/3 of page 61