Pre-College Programs

Course Catalog Search Results (5)

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Spy Training 101: How to Encode and Decode Messages like an Expert

The course provides an introduction to the history and mathematics behind cryptography. From Julius Caesar's encoded messages to his generals and Thomas Jefferson's wooden cipher to modern day encryption systems, codes have always been used to protect important or personal information. In this course we study the mathematical concepts behind encoding and decoding...

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Logic & Paradox

Logic is a system of rules upon which human reasoning is based. It is a tool that we deploy routinely in our everyday lives. It pervades every academic discipline, from mathematics to the sciences to the humanities. To philosophers, however, logic is a deep and complex subject of study in its own right. This course is devoted in part to exploring this system of rules, which...

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Bridging the Gap Between Math Class and the Real World

More often than not, the things we learn in math class seem to have no other use except in math class: the quadratic formula, finding domain and range, the Pythagorean Theorem... Yet these very techniques can give us a deep understanding of the world around us and even enable us to do things like create basic computer animation and predict the weather. This course will offer...

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Probability: Indispensable Tool, Philosophical Mystery

Suppose you roll two dice. Of course, you can’t say exactly what you will get. But there are some things you can say. You can say, for example, that it is less likely for the dice to land “snake eyes” (two ones) than to not land snake eyes. You can say that getting a sum of two is as likely as getting a sum of twelve. And you can say that...

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Decision Theory: Where Math and Philosophy Meet

Suppose you are offered a game: you flip a fair coin. If the coin comes up heads, you win $5. If the coin comes up tails, you lose $1. Playing the game is free. Is it rational to play this game? To many, the obvious answer is “yes.” Though the chances of losing and winning are the same, you stand to win much more money than you stand to lose. Decision...

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