Math Trail Assignment
One of the purposes of teaching geometry in the elementary/middle school is to help
children acquire abilities to be used in describing, comparing, representing, and relating
objects in the environment. The development of such abilit
Assignment 3
1. Calculate the fraction that corresponds to the repeating decimal .321321321 = .m.
Use the method that entails multiplication by an appropriate power of 10.
2. To extend the Sieve of Eratosthenes to 500, what is the largest prime whose mult
Assignment 1
1. Write the Hindu-Arabic equivalent of each of the following.
a)
Answer: _
b)
Answer: _
c) DCXCVIII
Answer: _
d) CMLXXIV
Answer: _
e)
Answer: _
f)
Answer: _
g)
h)
Answer: _
Answer: _
2. Write the following in Egyptian notation.
a) 434
Answer
Solutions to Jan 27-31 homework assignment
PROBLEM 1 ON PAGE 2: Multiplying out the expressions using the rules i1 = i and ii = -1
gives the following:
(1 + 2i)2 = -3 + 4i,
5
1
1
1
-3+4i = - 5 (3 + 4i) because -3+4i = 25 (-3 - 4i).
2+i
1
2+i
1
1
( 3-2i )2
Math 113/Spring 2014
Problem Set #5 Solutions
Taubes
Compiled by Ben Li
pg. 66 #1
r
Let D = cfw_z C : |z| < 1. Let f : D C be given by f (z) = f (rei ) = 1r ei . This has
s
i
i
inverse g(z ) = (se ) = 1+s e for z C, which we can see is the inverse by subs
Math 113/Spring 2014
Problem Set #8 Solutions
Taubes
Compiled by Ben Li
pg. 154 #3 (8 points)
For some real a, we have f (ai) = (a4 3a2 + 3) + 8ai(1 a2 ). The real part is always positive,
and the image itself is never 0 (no real number a satises both equ
Math 113/Spring 2014
Problem Set #2 Solutions
Taubes
Compiled by Ben Li
pg. 20 #6 (Jacqueline Flood)
Consider two points on the circle in the plane z = a + R and z = a R which are a distance 2R
from each other. Using the following formula for the distance