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.

**When/where**

Applications are open for spring and summer classes. It will be possible to take spring classes either online or in person in Palo Alto. All summer classes will be held online. Thus students from around the world are welcome to apply.

In the spring, we will have an intermediate class on transitioning to proofs in analysis, a class between intermediate and advanced level on fundamentals of higher mathematics focusing on point-set topology, and an advanced class on differential topology. Classes will be held in hybrid in-person/online format, so students from around the world are welcome to apply.

In the summer, we will have two advanced classes. In the first summer session, we will have an independent research and paper writing class, and in the second summer session, we will have a class on the mathematics of Euler. Summer classes will be held entirely online.

Here are the dates and times for spring classes:

Class | Starting date | Ending date | Everyone | Online | In person |
---|---|---|---|---|---|

Transition to proofs | April 3 | June 7 | Monday 5:00–6:00 PM | Tuesday 5:00–7:00 PM | Wednesday 6:30–8:30 PM |

Fundamentals of higher mathematics | April 3 | June 7 | Monday 5:00–6:30 PM | Wednesday 5:00–7:00 PM | Wednesday 6:30–8:30 PM |

Differential topology | April 3 | June 7 | Monday 6:30–8:30 PM | Tuesday 5:00–7:00 PM | Wednesday 6:30–8:30 PM |

Applications for spring classes are due **February 19**. After that, we will continue to accept applications while space remains on a rolling basis. Click here to apply!

Here are the dates and times for summer classes:

Class | Starting date | Ending date | Times |
---|---|---|---|

Independent research and paper writing | June 12 | July 14 | Monday, Tuesday, Thursday, and Friday 5:00–7:00 PM |

Mathematics of Euler | July 17 | August 18 | Monday, Tuesday, Thursday, and Friday 5:00–7:00 PM |

Applications for the summer classes are due **April 9**. After that, we will continue to accept applications while space remains on a rolling basis. Click here to apply!