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  • Home
  • About us
    • Our Mission
    • Our Volunteers
    • Testimonials
  • Classes
    • Ongoing Classes
    • Class Calendar
    • Archived Classes
  • Events
    • 2022 Alphademic Math Competition
    • Past Events
  • Resources
    • Discord
    • Euclid's Orchard
    • Financial Aid
  • Volunteer
  • YouTube
  • Sponsors
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Euclid's Orchard serves to provide high quality math handouts. The handouts below are listed in general order of increasing difficulty, beginning with AMC and AIME level contest math, and ending with college math.
One Page Summaries
A short compilation of topics in contest mathematics to study.

Written by Dylan Yu and Amol Rama.
Recursion in the AMC and AIME
A nice introductory handout to the idea of forming and solving recursions.

Written by Jeffrey Chen and Dylan Yu, edited by Peter Pu. 
Modular Arithmetic in the AMC and AIME
Goes over most concepts in modular arithmetic, although some overlapping topics with other parts of number theory may have been left out.

Written by Dylan Yu. 
Sequences and Series in the AMC and AIME
Covers arithmetic, geometric, arithmetico-geometric, telescoping, and recursive sequences. Note that recursive sequences is briefly mentioned, since we already have an article on recursion.

Written by Dylan Yu and nikenissan. 
Polynomials in the AIME
A complete guide on how to use polynomials on the AIME. Includes (almost) every polynomial problem on the AIME and also problems from other sources (such as RMO and HMMT).

Written by Dylan Yu and Amol Rama.
Proofs in Pre-USA(J)MO
Introduces proofs very nicely.

Written by Jai Sharma.
Trigonometry in the AIME and USA(J)MO
A complete guide on how to use trigonometry on the AIME and USA(J)MO. Includes (almost) every trigonometry problem on the AIME, with worked out problems as well as more than one hundred hints to selected problems. There quite a few olympiad problems sprinkled in, too.

Written by Dylan Yu and Amol Rama.
Group Theory
This handout was made by taking beamer slides by Emma Cardwell and Matthew Ho and piecing them together. It is an introductory piece with some basic ideas introduced.​
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Last updated April 22, 2023
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