2018 Summer Illinois Math (SIM) Camp Omega (students entering 10th through 12th)
Date:Mon, 7/23/2018 - Fri, 7/27/2018
Event Type:Summer Camp
Website and/or Calendar Links
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.
We will offer three camps in 2018. As in the past, SIM Camp Epsilon is for students entering 8th or 9th grade in Fall 2018. SIM Camp Delta is now for students entering 9th or 10th grade. We are also introducing SIM Camp Omega for students entering 10th through 12th grade.
Topics for Camp Omega
Topics will be Counting to Infinity (Plus One!) and From Snowflakes to Seashells: Exploring Fractals.
Counting to Infinity (Plus One!)
Is infinity a number greater than all other numbers, or is it the size of a set that is larger than all finite sets? Are these two notions the same, and how do we make them mathematically rigorous? In this course students learn how to show that different infinite sets have different sizes; indeed, some infinities are bigger than others! Along the way we develop the basic elements of set theory and grapple with notions of orderings on infinite sets and maps between sets.
Snowflakes to Seashells: Exploring Fractals
Can a region have finite area and infinite perimeter? Is there a dimension between one and two? Fractals appear all around us in nature and art and raise many interesting questions like these that challenge our intuition. We will explore these questions and more as we learn about fractals and chaos theory in this course.
- SIM Camp Omega is for rising 10th through 12th grade students who have taken taken at least one year of algebra.
- Priority will be given to students who apply by April 15, but we will continue accepting applications until all camps are full.
- Visit the SIM Summer Camp website to apply.
- Department of Mathematics
- Illinois Student Chapter of the Association for Women in Mathematics
- Illinois Geometry Lab