Assignment:
For each topic demonstrate a knowledge and capability by giving the following information:
1) Problem Solution: (solution for an even number problem)
2) Personal Observation: (personal comment on the topic including advice to others on how to study and understand it).
Logic
Q1. Let p, q, and r be the propositions
p: You get an A on the final exam.
q: You do every exercise in this book.
r: You get an A in this class.
Write these propositions using p, q, and r and logical connectives.
Sets & Set Operations
Q2. Use set builder notation to give a description of each of these sets.
a) {0, 3, 6, 9, 12}
b) {-3, -2, -1, 0, 1, 2, 3}
c) {m, n, o, p}
Functions
Q3. Determine whether f: Z x Z → Z is onto if
a) f(m, n) = 2m – n.
b) f(m, n) = m2 – n2.
c) f(m, n) = m + n + 1.
d) f(m, n) = |m| - |n|.
e) f(m, n) = m2 – 4.
Provide complete and step by step solution for the question and show calculations and use formulas.