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It's not just numbers: Journeys into proof-based mathematics

SAT Score Range

6 sessions

+16

🔥 1 spot left!

This series is part of Schoolhouse Summer Camp! Explore Summer Camp

About

I believe everyone should be given a space to practice their proof-based math skills, since it teaches you to think logically on your feet, explore, and build/challenge arguments.

PREREQUISITES: This series is meant to be accessible to a broad audience. In reality, much of what we consider to be "college-level math" is completely reachable for students with just a basic proficiency with high school algebra. If any of these sessions require any more advanced prerequisites, I will say so in the description. If you don't have the background knowledge, I encourage you to attend anyway, but also feel free to ask for an excused absence.

Each session, we will explore a different topic in mathematics. These topics are likely unlike any math you've seen before. With this series, I hope to help expand your horizons of what math really is, outside of the classroom. Topics include, but are not limited to, set theory, combinatorics, graph theory, geometry, and more.

These sessions will be proof- and discussion-based, so I would like all participants to engage as much as they are comfortable with! I will provide the basic definitions, pose motivating questions, and provide hints as needed, but the exploration is entirely up to you.

I will add more sessions to this series as we go, so if you have any ideas for future sessions, please feel free to suggest them!

Also, if you're interested in this series but the current set time doesn't work for you, feel free to suggest a better time period that works for you, and if there's enough interest, I can see if I can switch times.

Tutored by

Nikhil P 🇺🇸

Certified in 2 topics

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Hi everyone! I'm a college student studying Applied Math, Computer Science, and Education. I love helping demystify complicated concepts, and I'm excited to help you learn! In my free time, I love doing origami, biking, and listening to music :)

✋ ATTENDANCE POLICY

Each session will be mostly independent from the others, so don't worry if you need to miss a few. However, if you do, please give me as much advance notice as possible.

SESSION 5

5

Aug

SESSION 5

Even More Math

Even More Math

Tue 12:30 AM - 1:30 AM UTCAug 5, 12:30 AM - 1:30 AM UTC

Title: The math that makes your computer secure

In this session, we'll explore the basics of modular arithmetic and primality in an effort to understand the RSA cryptographic algorithm that forms the basis of all modern computer security.
SESSION 6

6

Aug

SESSION 6

Even More Math

Even More Math

Wed 12:30 AM - 1:30 AM UTCAug 6, 12:30 AM - 1:30 AM UTC

Title: Integration, but fancy and French

The Lebesgue Integral is an improvement upon the Riemann integral, making almost all conceivable functions integrable (for example, the Dirichlet function; look it up, it's weird).

NOTE: If you don't have any Calculus experience, this session may be a bit hard to follow. I will try to make it as accessible as possible, so please feel free to still join, and don't be discouraged if you don't understand.

Public Discussion

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Jul 25 - Aug 6

2 weeks

60 mins

/ session

Next session on August 5, 2025

SCHEDULE

Fridays

12:30AM

Tuesdays

12:30AM

Wednesdays

12:30AM