Project ARC Enrichment -
The Riemann Program
The Riemann Program:
For students who love math, by students who love math...
The Riemann program is a one-of-a-kind free math circle serving students across the world, augmented by one-on-one support for anyone interested in learning mathematics outside of school.
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The embedded link in the cover page picture above should lead you to a quick preview of the Riemann Portfolio. These 100-page portfolios are distributed soon after the first week or two of the Riemann program, and feature an assortment of problem sets, in-depth concept explorations, sample projects, and plenty of blank pages for students to fill up on their own. We encourage students to use the portfolios as both math notebooks and as "scrapbooks" - space in which students not only work on problems, but also record the problem solutions that they are most proud of and jot down project ideas and conclusions. Portfolios have been very popular elements of the Riemann program so far, and we hope that completed portfolios will continue to be helpful as tangible representations of a student's mathematical journey.
More than just a weekly class:
Riemann students have access to a discussion board to study, collaborate, and hang out outside of class time.
Each Riemann student is assigned a mentor who stays in regular contact with the student over the course of the program. Mentors advise students on projects, help them find academic resources (both within and external to ARC), and provide other forms of guidance and general assistance.
Above is The Illustrious Crocodile K. Riemann (Ticker for short), the unofficial virtual mascot for the Riemann program! Any resemblance to mathematician Bernhard Riemann* is purely coincidental.
*Georg Friedrich Bernhard Riemann, one of history's most renowned mathematicians, is known for his work on calculus (see the Riemann integral), differential geometry (which underlies Einstein's theory of general relativity), and the establishment of the famous Riemann hypothesis, among many other contributions.
Challenge yourself with
The Problem of the Week
Bob, a number wizard, announces that enchanted numbers are the best kinds of real numbers to use in math spells. Enchanted numbers are always positive integers. Moreover, for each enchanted number x, the sum of its digits equals x. (In other words, summing the digits of an enchanted number gives the number itself.) Find, with proof, all of the enchanted numbers.