## 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 8^{th} or 9^{th} grade in the fall who will begin geometry or algebra in the fall. It will take place July 10^{th} -14^{th}, 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 9^{th} through 12^{th} grade in the fall who have taken at least a year of algebra. It will take place July 24^{th} -28^{th}, 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.

#### Topological Invariants: How to know the answer in advance

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 8^{th} or 9^{th} grade students will be **July 10 ^{th} to July 14^{nd}**.

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

You can find a more detailed schedulehere.

### 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.

You can find more transportation informationhere.

### Apply

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

Priority will be given to application received by April 15. We will continue accepting applications until camp is full.

You can applyhere.

### About Us

**Claire Merriman**, director

**Simone Sisneros-Thiry**, program coordinator

**Emily Heath**, assistant program coordinator

You can find more information about ushere.

If you have questions, please contact simcamp@math.uiuc.edu.

### Sponsors

Support is provided by:

- Office of Public Engagement, University of Illinois for a Public Engagement Grant
- Department of Mathematics, University of Illinois
- Illinois Geometry Lab, University of Illinois
- Association for Women in Mathematics, University of Illinois
- Dolciani Mathematics Enrichment Grant, Mathematical Association of America
- National Science Foundation, Grant Number DMS-1449269

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation. This material is based upon work supported by the National Science Foundation under Grant Number DMS-1449269.