External Resources

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This page is dedicated to unique math learning resources our team has found helpful and would like to share. If you would like to add to this page, please contact us.

General

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Art of Problem Solving: The best way to advance mathematically. AoPS has a large community with forums and a wiki:

• Proofs without words site has great visualizations of fundamental theorems.
• Practice tests from several competitions: AoPS contest collections (AMC series, TST, much more)
• Alcumus - topic-specific problem generator. Earns you points and badges!

​CEMC: Ontario-based group that provides several resources, problems, and competitions for students of all ages and at all levels.

YouTube Channels

3Blue1Brown: Great animations/explanations of anything mathematically interesting.

CNCM: North Carolina-based group - explains several Olympiad concepts (e.g. barycentric coordinates) clearly.

 Mr. Math - Focused on concepts and problems in competition math (about a late-AIME level)

 The Beauty of Math - Awesome channel providing solutions to competition problems and occasionally posting motivational videos.

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Algebra

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Number Theory

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Combinatorics

• Handout by Nathan Cho on state functions.

Geometry

Competitions

Note that most of these are based in the U.S. and in-person.

• AMC series
• USAMTS
• Math League
• ARML
• University-based competitions: HMMT (Harvard/MIT), CMIMC (Carnegie Mellon), PUMaC (Princeton), Penn Math Contest, Duke Math Meet, Stanford Math Tournament, Berkeley MT, CHMMC (Caltech) Rice MT.

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Courses and Programs (* = selective, ** = very selective)​

• AwesomeMath Summer Program (AMSP) *
• ​AlphaStar Academy Courses
• AoPS courses
•  LIVE program run by Po-Shen Loh

Fun & Abstract