Math 117 Test 2 Review
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 .
(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)
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
(4) A C
M117, October 5, 2011 (due October 7, 2011)
We can arrange the binomial coecients n into a triangle by letting n be the row number
and k be the column number. The result is called Pascals Triangle.
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)
(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