Reading (in lieu of class on Thursday, September 16th)
and
Assignment based on the reading which is due on September 21st
Carefully read Section 3.1 of our text (pages 163-178)
Work through the Examples and the Practices. Make a careful note of those that do not make sense to you after reading them several times.
Copy and complete the three column table below in which the left most column contains the terms below, the middle column contains their definition from the book and the right most column contains the page where the definition can be found. Print it out and bring it to class.
|
Term |
Definition |
Page # |
|
binary operation |
|
|
|
cardinality of a set |
|
|
|
Cartesian product of sets |
|
|
|
cross product of sets |
|
|
|
closed set under an operation |
|
|
|
complement of a set |
|
|
|
countable set |
|
|
|
denumerable set |
|
|
|
disjoint sets |
|
|
|
dual of a set identity |
|
|
|
empty set |
|
|
|
equal sets |
|
|
|
finite set |
|
|
|
infinite set |
|
|
|
intersection of sets |
|
|
|
null set |
|
|
|
ordered pair |
|
|
|
power set |
|
|
|
proper subset |
|
|
|
set difference |
|
|
|
subset |
|
|
|
unary operation |
|
|
|
uncountable set |
|
|
|
union of sets |
|
|
|
universal set |
|
|
|
universe of discourse |
|
|
|
well defined operation |
|
|
Copy the following table and complete it by identifying the symbols in the leftmost column.
Print it and bring it to class
|
Symbol |
Meaning |
|
⊂ |
|
|
∅ |
|
|
∀ |
|
|
ℕ |
|
|
ℝ |
|
|
ℤ |
|
|
ℚ |
|
|
ℂ |
|
|
∈ |
|
|
∉ |
|
|
∃ |
|
|
{ } |
|
|
⊆ |
|
|
℘ |
|
|
∩ |
|
|
∪ |
|
|
∘ |
|
NOTE: Some problems for you to do and turn in will be added to this page.
Exercises 3.1
2a
2b
5a
6a
9a
10a
10d
10g
21
30
SEE BELOW FOR A SCREEN SHOT OF THE
TABLE WITH SYMBOLS IN IT… SHOW IT AT 150% TO MAKE THE SYMBOLS
CLEARER
