Math 117 Test 2 Review
True/False
Determine if the statement is true or false. Briey justify your answer - no proofs necessary.
(1) For all real numbers a and b, if a < b then a2 < b2 .
n
(2) There exists an integer n such that 22 1 is prime.
(3) For all
Unions, Intersections, and Complements
M117, October 14, 2011 (due October 17, 2011)
Your name:
Let U = R be the universal set. Also let
A = cfw_x R|0 < x 2
B = cfw_x R|1 x < 4
C = cfw_x R|3 < x 9
and compute the following:
(1) A B
(2) A B
(3) Ac
(4) A C
Pascals Triangle
M117, October 5, 2011 (due October 7, 2011)
Your name:
We can arrange the binomial coecients n into a triangle by letting n be the row number
k
and k be the column number. The result is called Pascals Triangle.
0
0
1
0
1
1
2
0
2
1
2
2
3
0
Solving Second Order Recurrences
In this guided activity, well come up with a solution to a typical example of a second-order
recurrence. This will take some time, and I promise you wont always have to work this hard
to solve the problem, but I hope the g
Walks, paths, trails, etc.
M117, November 30, 2011 (due December 2, 2011)
Your name:
(1) In the graph below, determine whether the following walks are trails, paths, closed
walks, circuits, simple circuits, or just walks.
(a) v0 e1 v1 e10 v5 e9 v2 e2 v1
(