UGA MathCamp

Higher math for high school students.



What and Who

At MathCamp, UGA faculty mentors each work with a graduate student helper, and and undergraduate helper guiding a group of roughly 5 high school students on exploratory projects in a range of topics. We plan to have 5 or 6 groups, for a total of 25-30 students.

Topics vary year to year, but in the past, they have included topology, graph theory, number theory, cryptography, mathematical problem solving, and mathematical biology.

Activities are aimed at high school students entering grades 9-12, however some younger students have also done quite well with the material in the past. With this in mind, there are no formal grade level requirements. The most important prerequisite is an interest in learning new things and curiosity about mathematics!



When and Where

MathCamp 2016 ran Monday, June 6 to Friday, June 10, in the Boyd Graduate Studies Research Building (200 D.W. Brooks Drive), at the University of Georgia Athens Campus.

Stay tuned for future MathCamps! To sign up for updates for the next camp, please fill out the form below: MathCamp email form

How

MathCamp is funded by NSF CAREER grant DMS-1151252, and this grant pays for all our expenses except for food and t-shirts.

Participants will pay a small fee at the beginning of camp to cover the expense of snacks and a t-shirt. Participants also have the option of either bringing their own bag lunch, or ordering from Jimmy John's or a similar local restaurant.



MathCamp 2016


Our 2016 program featured activity groups led by Ester Dalvit, Juan Gutierrez, Juanita Pinzón-Caicedo, Paul Pollack and Amber Russell. You can see what they did below::



Braids (Led by Ester Dalvit. Assistants: Patrick McFaddin and Justin Johnson)

Can you put a closed rope a round the strands at the top of a braid such that it will have a specific shape when it falls down to the bottom of the braid?

Through hands-on activities and guided learning, students will develop mathematical tools to solve this puzzle. Along the way they will discover that both braids and curves are mathematical objects, and find a way to describe these objects and their interaction using algebraic notation.



Monster Epidemiology: Zombies, Vampires, and Werewolves (Led by Juan Gutierrez. Assistants: Zerotti Woods and Elesha Coons)

In this workshop we will produce mathematical models to predict the outcome of an encounter between a healthy human population (for example, the town of Watkinsville) and a few mythical creatures. We will study: (a) humans vs. one zombie, (b) humans vs. one vampire, and (c) humans vs. a competition between several vampires and several werewolves… and any other apocalyptic scenario participants can come up with. Not only students will learn how to predict who wins, but also what are the best strategies to contain these mythical monsters. The mathematical tools used in this workshop belong to the same family of models used to guide public health policies against a number of diseases. We will use Scilab, an open source mathematical package, to explore the mathematical models needed in the study of monster epidemiology.



Symmetries of two-dimensional repetitive patterns (Led by Juanita Pinzón-Caicedo. Assistants: Abe Varghese and Susanna Conine-Nakano)

The two-dimensional plane can be with repetitions of some shapes without gaps or overlaps to create mosaic-like patterns. Artists like MC Escher have studied the symmetries of this patterns to create stunning works of art. We will explore the mathematics behind this patterns and we will create our own beautiful designs!



Primes (Led by Paul Pollack. Assistants: Hans Parshall and Jadzia Dax Hutchings)

We will explore several solved and unsolved problems about the set of prime numbers, ranging from classical results known to Euclid in 300 BCE to spectacular advances from just the past few years.



Discovering Graph Theory (Led by Amber Russell. Assistants: Andrew Maurer and Carson Aft)

Through a series of guided learning projects and hands-on activities, students will discover the basic definitions and some famous results from the field of Graph Theory. Specific topics include planar graphs, graph embeddings on surfaces, and the Four Color Theorem.

Schedule and Daily Logistics

All rooms listed below are located in the Boyd Graduate Studies Building on UGA Campus. Snacks will be provided in the Matrix (Room 308). Participants should either bring their own packed lunch (there is a refrigerator available), or sandwiches can be ordered from Jimmy Johns for delivery (students should bring cash for this). We will take orders for the group each morning.



Mon

9:00am-9:30am Arrival Matrix (Room 308)
9:30am-9:45am Introductions Matrix (Room 308)
9:45am-10:30am Lecture, all groups togetherRoom 328
10:30am-10:45am Order sandwiches, free time Matrix (Room 308)
10:45am-12:00pm Activity Groups, morning session Various rooms
12:00pm-1:30pm Lunch Matrix (Room 308)
1:30pm-3:30pm Activity Groups, afternoon session Various rooms
3:30pm-5:30pm Free Time Matrix (Room 308)



Tues, Wed, Thurs

9:00am-9:30am Arrival Matrix (Room 308)
9:30am-10:15am Lecture, all groups togetherRoom 328
10:15am-10:30am Order sandwiches, free time Matrix (Room 308)
10:30am-12:00pm Activity Groups, morning session Various rooms
12:00pm-1:30pm Lunch Matrix (Room 308)
1:30pm-3:30pm Activity Groups, afternoon session Various rooms
3:30pm-5:30pm Free Time Matrix (Room 308)



Fri



9:00am-9:30am Arrival Matrix (Room 308)
9:30am-10:15am Lecture, all groups togetherRoom 328
10:15am-10:30am Order sandwiches, free time Matrix (Room 308)
10:30am-12:00pm Activity Groups, morning session Various rooms
12:00pm-1:30pm Lunch Matrix (Room 308)
1:30pm-3:30pm Presentations Room 328
3:30pm-5:30pm Eat cake Matrix (Room 308)

Photos from Prior MathCamps

About Us

The UGA MathCamp is administered by Daniel Krashen, and Angela Gibney, associate professors in the Department of Mathematics at the University of Georgia. Many thanks to Eddie Beck for the pictures from prior camps!


Questions? Feel free to contact us at ugamathcamp@gmail.com