Math 522 Final Exam Review
theory/modular arithmetic/doing-undoing—Solve one of the following:
that 2 is the only prime p such that p ≡ 2 mod 4.
that the difference of the squares of any two odd numbers (not
necessarily consecutive) is divisible by 8.
on the algebraic thinking (Driscoll and multiple representations) in the
suspension bridge has parabolic cables stretched between support towers
(thick lines) with suspender cables (dashed lines) hanging vertically from
the cable to the road, as shown below.
Find the total length of vertical suspender cables required to
support one side of the road if the support towers are 100m high, the bridge
is 1000m wide, the lowest point of the parabolic cable is 4m above the road,
and the cables are placed 20m apart.
Final Exam: Take-home portion
essay: At least one article we’ve
run across has mentioned the importance of looking at mathematics problems
from multiple perspectives, and learning to translate back and forth
between and among the multiple representations. Identify all the work we have done with quadratics, and discuss it in
terms of the multiple representations and translating (making connections)
between them. Some work may not fit
neatly into just one area, or may not fit the multiple representations
well at all; they should be discussed anyway. Also, your answer may vary depending on
the approach(es) you used to solve particular
problems. Your response to this
question should be typed and turned in with your final exam. It will count as ¼ of your final exam
grade, i.e. 55 points.