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 problem-solving 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 typical ARML practice begins with a lesson on a mathematical technique, together by a problem-solving 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 fall semester of 2016 is provided. Check back for up-to-date information about the topics that will be covered in practices, the speakers for the after-pizza talks, and handouts from previous practices.
| Date | Topic | Subtopic | After Pizza |
| September 11 | Number Theory (Annie and Emily) |
Modular Arithmetic and Divisibility Handout / Solutions |
C.J.: The Sizes of Infinity Slides |
| September 18 | Euler's Totient Function Handout |
Victor: Short math contest 2003 AMC 10B, 2003 USAMO |
|
| September 25 | Integer Linear Equations Handout |
Misha: How to Gamble | |
| October 2 | Sums of Squares Handout |
Victor: Short math contest 1995 ARML Individual Round |
|
| October 9 | Patrick: Practice math contest Problems from the SMT: Version 1, Version 2, Team Contest |
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| October 16 | Geometry (Andrew and David) |
Similar Triangles Handout |
Misha: False Patterns Slides |
| October 23 | Circles Handout |
Misha: Short Math Contest Problems / Solutions |
|
| October 30 | Trigonometry Handout |
Victor: Short math contest Problems / Solutions |
|
| November 6 | Cyclic Quadrilaterals Handout |
C.J.: Finding Hay in a Haystack | |
| November 13 | Patrick: Practice math contest Problems from the BMT: Version 1, Version 2, Team Contest |
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| November 20 | Functions (C.J.) |
Trigonometric Functions Handout |
Misha: Summing Divergent Series |
| November 27 | Miscellaneous Functions Handout |
Misha: Short math contest 2004 AMC 10A, 2003/4 BMO Round 1 |
|
| December 4 | Sequences and Series (Misha) |
Summing Series Handout / Solutions |
C.J.: Mass Points |
| December 11 | Solving Recurrences Handout |
Fun! | |
The team captain is Andrew Gu <a1267ab@gmail.com>, a junior at Allderdice High School.
Our faculty sponsor is Po-Shen 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 and spring 2016 semesters.
There are also old practice materials from 2012, 2013, and 2014.