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Materials

Here are some materials from past UCI math circles. Make sure to try out some of the fun and challenging activities our math circle leaders have developed! Click the session title to access the files associated with the session.

Level I Math Circle

From 2016 to 2017

TitleLeader
Little Boxes Alessandra Pantano
Beginning Probability (instructor material) Alex Sutherland
Arithmetic Clock Roger Dellaca
Secret Graphs Umut Isik
Graph Theory Umut Isik
Taxicab Xiangwen Zhang
Penny Game Chang Lou
GCD LCM Number Theory Yucheng Ji
Pigeonhole Principle Frank Lin
Cryptography Kelly Isham
Perfect Shufflings Alessandra Pantano
Over Under Christopher Davis
Graph Theory Kelly Isham

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Level II Math Circle

From 2016 to 2017

TitleLeader
Little Boxes Umut Isik
Camp Logic (instructor material) Nam Trang
Isoperimetric Inequality Hung Tran
What is a line? Jeffrey Streets
Tic Tac Toe and Other Games Nathan Kaplan
The Game of Jam Nathan Kaplan
Functional Equations Zhiqin Lu
Coin Game Ryan Broderick
Sum of Squares and Differences John Treuer
Population Dynamics Qing Nie
Counting the Infinity Yifeng Yu
3 Versions Dillon Kanne
Geometric Mean John Treuer
ToT Prep Umut Isik / Rui Han
Cardinalites Martin Zeman

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Middle School Math Circle

From 2015 to 2016

TitleLeader
Mathematical Trip to ItalyMariano Franco De Leon
AMC 8 and ToT PreparationDillon Kanne / Ilya Kochikovskiy
Triangles in Different GeometriesCasey Kelleher

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From 2014 to 2015

TitleLeader
Groups and MandalasCasey Kelleher / Alessandra Pantano
Logical Problem SolvingMartin Matasovic
Stars and Cyclic GroupsLuke Smith / Alessandra Pantano
Propositional LogicDaniel Agress
Taxicab GeometryDaniel Agress
Game TheoryYelena Mandelshtam
Modular Arithmetic and CryptographyJennifer Bryson
Mobius Strip CuttingShoo Seto

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From 2013 to 2014

TitleLeader
Diophantine Equations and Prime NumbersCynthia Northrup
Problem SolvingCynthia Northrup
Paper ProjectsNicole Fider
Modular ArithmeticRyan Sullivant
FractalsNicholas Reale
From Snowflakes to Wallpaper groupsCasey Kelleher
EuclidTimmy Ma
Problem SolvingAndres Forero
Winning Strategies for BoardgamesAndres Forero
Volume EstimatesNicole Fider
VotingNicholas Reale
InfinityNicole Fider
Pick's TheoremNicholas Reale
Graph TheoryAndres Forero
Game TheoryNicholas Reale

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High School Math Circle

From 2015 to 2016

TitleLeader
Multivariate OptimizationVladyskav Kalashnyk
Minicourse of Game Theory Pt 1Greg Zitelli
Minicourse of Game Theory Pt 2Greg Zitelli
Intro to Simplicial ComplexesCasey Kelleher / Alessandra Pantano
Number TheoryYuki Takahashi

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From 2014 to 2015

TitleLeader
Tournament of the Towns Problem Solving
Tournament of the Towns Problem Solving
Tournament of the Towns Problem Solving
Minimum number of expirements
Infinite sums, self reference, and related peregrinationsGeoff Galgon / Garrett Ervin
Modeling of Epidemics
Functional equations
Random walks and even more peregrinations (Solutions)Geoff Galgon / Garrett Ervin

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From 2013 to 2014

TitleLeader
Random Walks on treesYuki Takahashi
Tournament of towns, preparationIlya Kochikovskiy
Chromatic PolynomialsLeesa Anzaldo
Probablility problemsMete Ozsoy
Insane Tic Tac ToeGarrett Ervin/ Geoff Galgon
Wallpaper groupsCasey Kelleher / Alessandra Pantano
Mathematical stringsLeesa Anzaldo
Right trianglesYuki Takahashi
Problem solvingAndres Forero
Tournament of the towns, preparationYelena Mandelshtam
Tournament of the towns, preparationIlya Kochikovskiy / Yelena Mandelshtam
Coloring transformationsLeesa Anzaldo
Rotating decimalsLeesa Anzaldo
Mathematical billiardsLeesa Anzaldo

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