﻿ SIM Camp, University of Illinois at Urbana-Champaign

## What is SIM Camp?

Summer Illinois Math (SIM) Camp is a free, week-long math day camp for middle and high school students hosted by the University of Illinois at Urbana-Champaign Department of Mathematics. Campers will see the creative, discovery driven side of mathematics. By showing them some of the ways mathematicians approach problems, SIM Camp hopes to encourage them to continue studying math beyond the high school level.

### SIM Camp Epsilon

SIM Camp Epsilon is for students entering 8th or 9th grade in the fall who will begin geometry or algebra in the fall. It will take place July 10th -14th, 2017.

#### Beyond 1, 2, 3: How Mathematicians Count

How many ways are there to determine "how many?" Campers will compare different groups of objects through concepts such as the multiplication principle, combinations, and bijections, while answering questions like "How many five digit numbers with distinct digits are there?" and "What is my chance of winning the lottery?"

#### Tropical Geometry

Is 1+1 always equal to 2? A mathematician would say is depends on how you define the arithmetic! In this course we’ll explore a new exciting arithmetic in what’s called tropical geometry. We’ll compare these new tropical rules to the familiar arithmetic we already know and build up to constructing shapes in the ‘tropical plane’.

### SIM Camp Delta

SIM Camp Delta is for students entering 9th through 12th grade in the fall who have taken at least a year of algebra. It will take place July 24th -28th, 2017

#### Classical Constructions: Learn to draw algebra

What can we do with a compass and a straightedge? These simple tools can be used to create shapes, do arithmetic and prove fun facts about geometry. This course will teach students geometry as the ancient Greeks saw it, using only tools that were available then.

Can a clay ball be deformed into a doughnut without cutting, pasting, or poking any holes? How many colors are needed to color a map of the U.S.? To find the answer to these questions, mathematicians study topological invariants. We will use topological invariants to describe these and other qualities of spaces.

### Schedule

There will be two weeks of SIM Camp in 2017.

The camp for rising 8th or 9th grade students will be July 10th to July 14nd.

The camp for rising 9th through 12th grade students will be July 24th to July 28th.

### Directions

SIM Camp will be held in Altgeld Hall on the University of Illinois Campus at the corner of Wright Street and Green Street in Urbana.

### Apply

Students attending the rising 8th and 9th grade camp must have taken a pre-algebra class, while students at the rising 9th through 12th grade camp need to have taken at least one year of algebra.

Both camps are full, but we will continue accepting applications for the waitlist.

Claire Merriman, director

Simone Sisneros-Thiry, program coordinator

Emily Heath, assistant program coordinator