Welcome to Euler Circle!

Spring Classes

Class Starting date Ending date Everyone Online In person
Mathematical information March 31 June 3 Tuesday 5:30–7:30 PM Wednesdays 6:30–8:30 PM
Mathematical thinking March 31 June 3 Tuesday 5:30–7:30 PM Wednesdays 6:30–8:30 PM
Transition to proofs March 30 June 3 Monday 5:00–6:00 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM
Fundamentals of higher mathematics March 30 June 3 Monday 5:00–6:30 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM
p-adic analysis March 30 June 3 Monday 6:30–8:30 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM

Summer Classes

Class Starting date Ending date Times
Independent research and paper writing June 8 July 10 Monday, Tuesday, Thursday, Friday 9:30–11:30 AM
Mathematics in Lean July 13 August 14 Monday, Tuesday, Thursday, Friday 9:30–11:30 AM
Markov chains July 13 August 14 Monday, Tuesday, Thursday, Friday 6:00–8:00 PM

Are you a high-school student who loves mathematics? Do you find the traditional mathematics curriculum far too easy? Do you want to learn fascinating and challenging mathematics? Do you want to work on problems and make friends with mathematically-minded peers? If so, you have come to the right place!

What

Euler Circle is a mathematics institute for advanced students who love mathematics. We offer a range of college-level mathematics classes, specifically tailored to the needs of advanced high-school students, many of whom have exhausted the mathematics curriculum at their schools and want to learn more. Each class we offer is the equivalent of a college mathematics class. In each class, students solve many problems to gain familiarity with new material, and in the advanced classes each student writes an expository paper on a topic related to the class material.

The classes are set up in such a way as to provide a pathway to independent research. Many of our problem sets in the advanced classes include unsolved problems that students can explore once they have mastered the material presented in class. We offer small group meetings for students interested in working on the research problems once they have demonstrated the ability to work hard on challenging problems. See more on research in Euler Circle.

Why

There is more to mathematics than competitions. Yet there are few resources available for high-school students to learn about the rest of the wonderful world of mathematics. We believe that many students would like to see what else is out there, and we want to share what we know.

Other subjects

Are you looking for Euler Circle-style education in other areas? See our umbrella program, Kaleidoscope Circles, which now also offers classes on physics in the Curie Circle. We plan to offer circles on other subjects eventually as well.

Teach

Are you interested in teaching at Euler Circle? We’re always looking for exceptional TAs, instructors, and other collaborators. See our teaching page for more information.

When/where

In the spring, we will have a mathematical information class, a mathematical thinking class, a transition to proofs class on transitioning to proofs in analysis, a class between the transition and advanced classes on fundamentals of higher mathematics focusing on point-set topology, and an advanced class on p-adic analysis. Classes will be held in hybrid in-person (in Palo Alto)/online format, so students from around the world are welcome to apply.

Here are the dates and times for spring classes, all in Pacific time:

Class Starting date Ending date Everyone Online In person
Mathematical information March 31 June 3 Tuesday 5:30–7:30 PM Wednesdays 6:30–8:30 PM
Mathematical thinking March 31 June 3 Tuesday 5:30–7:30 PM Wednesdays 6:30–8:30 PM
Transition to proofs March 30 June 3 Monday 5:00–6:00 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM
Fundamentals of higher mathematics March 30 June 3 Monday 5:00–6:30 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM
p-adic analysis March 30 June 3 Monday 6:30–8:30 PM Tuesday 5:30–7:30 PM Wednesday 6:30–8:30 PM

Applications for spring classes are due February 22nd. After that, we will continue to accept applications while space remains on a rolling basis. Click here to apply!

In the summer, we will offer three classes. In the first summer session, we will have an independent research and paper writing class, where each student will learn about a chosen topic in depth and write a 20-page paper on it. In the second summer session, we will have two classes: one on mathematics in Lean, and one on Markov chains. It is possible to take both the independent research and paper writing class and one of the second session classes, or to take just one class. All summer classes will be held online. Here are the dates and times for summer classes, all in Pacific time:

Class Starting date Ending date Times
Independent research and paper writing June 8 July 10 Monday, Tuesday, Thursday, Friday 9:30–11:30 AM
Mathematics in Lean July 13 August 14 Monday, Tuesday, Thursday, Friday 9:30–11:30 AM
Markov chains July 13 August 14 Monday, Tuesday, Thursday, Friday 6:00–8:00 PM

Applications for the summer classes are due April 12th. After that, we will continue to accept applications on a rolling basis while spots remain.