AoPSWiki:Resources

From AoPSWiki

This is a place for various user-created content compiled from the forums. This information is already on the forums, but is compiled by users into easy-to-access PDF format. The ultimate goal of this page is to archive user-created content, not old contest PDFs. However, until the Contests section is fully operational on AoPS, this page will continue to link to old contests, such as the AIME below.

Contents 1 Marathons 1.1 SC ARML Marathons 1.2 Getting Started Forum Marathons 1.3 MOEMS Marathons 1.4 SC Trig Marathons 1.5 Intermediate Forum Marathons 2 AoPS Instructional Content & Papers 2.1 Beginner 2.2 Intermediate 2.3 Advanced 3 AoPS Contests 3.1 Mock Contests 3.2 Other Contests 4 Compiled Contests & Solutions 5 Problem Sets

Marathons

SC ARML Marathons

• ARML Marathon Solutions (PDF)

• ARML Marathon Problems (PDF)

• ARML Marathon Solutions (TeX)

• ARML Marathon Problems (TeX)

Getting Started Forum Marathons

• GS Marathon 1

• GS Marathon 2
• GS Marathon 3

MOEMS Marathons

• MOEMS Marathon 1

SC Trig Marathons

• SC Trig Marathon 1

Intermediate Forum Marathons

• Intermediate AIME Marathon

AoPS Instructional Content & Papers

Beginner

• Three Types of Probability by Mathew Crawford

• Linear Congruences by Mathew Crawford

• Triangle Similarity by Richard Rusczyk

• Correcting for Overcounting by David Patrick

• Logarithms excerpted from AoPS Volume 1

• Base Numbers by Mathew Crawford

• Probability Using Areas by David Patrick

Intermediate

• Partitions of Integers by Joseph Laurendi

• A Few Elementary Properties of Polynomials by Adeel Khan

• Pidgeonhole Principle by Adeel Khan

• Roots of Unity by Adeel Khan

• ARML Techniques: Working with Obscure Congruent Angles by Alex Anderson

• Calculus Review and Formulas by Keone Hon

• Diophantine Equation Proof By Michael Viscardi

• Area of A Circle Proof by nr1337

Advanced

• Inequalities by Dr. Kiran Kedlaya

• Inequalities by Thomas Mildorf

• Number Theory by Naoki Sato

• A Powerful Technique for Proving Remarkable Trigonometric Identities by Zach Abel and Fred Sala

• Polyominoes by Amanda Beeson, Thomas Belulovich, Connie Chao, Jon Chu, Eric Frackleton, Li-Mei Lim, Travis Mandel

• Predicting Improper Fractional Base Integer Characteristics by Billy Dorminy

• On the Existence and Uniqueness of Invariant. Measures on Locally Compact Groups by Simon Rubinstein–Salzedo

• An Introduction to Statistics by Keone Hon

• Maxwell’s Equations by Matt Hansen

• RCF Theorem Proof by Myth

• Illumination of the Plane by Myth

AoPS Contests

Mock Contests

• Mock AMC

• Mock AIME

• Mock USAMO

• Mock MathCounts

Other Contests

• Contest of Opportunity

• MIMC

• AoPS Kings

Compiled Contests & Solutions

• 1995 AIME compiled by Edward Zhu

• MMPC Part 2 2005 Solutions by Saurabh Pandey

• IMO 2001 Complete Shortlist

Problem Sets

• The Basics: Twenty-Seven Problems by Keone Hon