Western PA ARML is a program for high school students interested in mathematics and in math competitions. At weekly practices, students learn math that isn't normally part of the high school curriculum, focusing on problemsolving techniques. At the end of May, we send a team of 15 students to participate in the ARML competition.
We welcome students of all abilities to attend our practices. The only requirement is being excited about math!
Practices are held throughout the year every Sunday from 4 PM to 7 PM at Carnegie Mellon University in Porter Hall, room A19. (Porter Hall is in the northwestern corner of the CMU campus, and is most easily accessible via Frew St. The door is sometimes locked on weekends; call Misha at (919) 7022400 if you can't get in.)
The typical ARML practice begins with a lesson on a mathematical technique, together by a problemsolving session, which lasts until around 5:30 PM. After a break for pizza, one of the coaches or a guest might give a talk, or we might have a short practice contest lasting about an hour.
A tentative schedule for the spring semester of 2017 is provided. Check back for uptodate information about the topics that will be covered in practices, the speakers for the afterpizza talks, and handouts from previous practices.
Date  Topic  Subtopic  After Pizza 
January 15  Writing Proofs (C.J. and Misha) 
Logic and Definitions I Handout / Solutions 
Misha: Pell's Equation 
January 22  Logic and Definitions II Handout 
Misha: Short math contest AMC 10 / Extra Contest / Solutions 

January 29  The Pigeonhole Principle Handout / Solutions 
Misha: Probability Paradoxes  
February 5  The Extremal Principle Handout / Solutions 
Go home and watch the Superbowl!  
February 12  C.J.: Practice math contest  
February 19  Combinatorics (Patrick and Victor) 
Counting Techniques Handout 
Emily: Short math contest Nov. 2013 Mandelbrot Regional + National 
February 26  Probability Handout 
C.J.: The sum 1 + 1/4 + 1/9 + 1/16 + ...  
March 5  Expected Values and Recursion Handout 
Annie: Short math contest ARML 2001 Individual Round 

March 12  Markov Chains Handout 
Misha: Towers of Hanoi  
March 19  C.J.: Practice math contest  
March 26  Emily and Annie: Graph Theory Handout 
Andrew: Short math contest 2006 Euclid Contest 

April 2  Calculus (Misha) 
Asymptotic Calculus Handout 
Misha: Counting beads on necklaces 
April 9  Optimization Problems Handout 
David: Short math contest Problems from SDML 20122013 

April 16  Easter: no ARML practice  
April 23  Andrew and David: 3D Geometry  Chris Cox: Sperner's Lemma  
April 30  ARML Team Selection Quiz  Misha: Cake Cutting  
May 7  ARML Preparation  
May 14  
May 21  
May 28  
June 23  ARML competition at Penn State University 
The team captain is Andrew Gu <a1267ab@gmail.com>, a junior at Allderdice High School.
Our faculty sponsor is PoShen Loh, a professor in the math department at CMU.
If you have any comments or questions or would like to know more about ARML, please don't hesitate to email any of the coaches!
This website also has the complete schedule for ARML practices in the fall 2015, spring 2016, and fall 2016 semesters.
There are also old practice materials from 2012, 2013, and 2014.