##

#### SOAR 2000

Mathematical Sciences Summer Camp

S*ummer* __O__*pportunity*
*in* __A__*pplied* __R__*esearch*

*REUNION
ANNOUNCEMENT*

# This year's Reunion will be held

on

Saturday, October 14,
2000, 1:30 - 4:30 PM

at the

Fields Institute

## Greg and Emmanuel will be guiding us through

# "A Tale of Two Series"

####
Part 1: Do you hate fractions? The way they just sit there so smug over
their exactness? The way the denominator lets the numerator walk all
over it? Well, this SIMMER is for you, because we're going to talk about
decimals! We'll take a look at the series of digits making up the
decimal expansions of various fractions, thinking about when they terminate
and when they repeat and trying to understand how long it takes the decimal
expansions to start repeating. Surprisingly, we'll find connections to topics
such as Euler's phi function and factorizations of numbers.

#### Part 2: Do you hate decimals? The way they take up so much space?
The way they just go on and on and on, never stopping to let anyone get a
digit in edgewise? Well, this SIMMER is for you, because we're going to
talk about fractions! We'll take a look at the series of numbers making
up the continued fraction representation of various numbers, thinking about
when they terminate and when they repeat and trying to understand how to
calculate the continued fractions in the first place. Surprisingly, we'll find
connections to topics such as the Euclidean algorithm and the quadratic
formula.

## This will be a * special* joint session of the

SOAR 2000 REUNION
and SIMMER for
teachers

#### In their usual creative manner Greg and Emmanuel have divided the 3 hours into 7 equal parts as follows:

**1:30-1:55:42.857142**

1:55:42.857142-2:21:25.714285

2:21:25.714285-2:47:08.571428

2:47:08.571428-3:12:51.428571

3:12:51.428571-3:38:34.285714

3:38:34.285714-4:04:17.142857

4:04:17.142857-4:30
#### The first and last three portions will be spent on Parts A and
B respectively. The middle portion will be for a break, refreshments and for
informally discussing the "Reunion Problems" you were given on the
last day of this year's SOAR Number Theory 'camp'. Have you looked at them yet?

#### Note: U of T Discovery Day is on the same day but it starts at
10 am. This should give you TWO reasons to come down to the campus on that day!
The use of public transport is recommended.

#### Don't forget to wear your SOAR t-shirt.

To help with the planning of this day ** R.S.V.P** to awilk@math.utoronto.ca

## See you there!

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*This page was last updated: September 23, 2000
*