Splash at Northwestern: Winter Splash February 26th, 2023


NU Splash Biography

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BENJAMIN BOYAJIAN, UChicago 2nd Year, Mathematics and Music Major




College: University of Chicago

Major: Mathematics and Music

Year of Graduation: 2014

Picture of Benjamin Boyajian

Brief Biographical Sketch:

Apart from teaching, I enjoy doing math problems, writing music, playing the piano and violin, having philosophcical discussions, jogging, biking, and a lot of other things.



Past Classes

  (Clicking a class title will bring you to the course's section of the corresponding course catalog)


S218: The Acoustics of Sound in Splash 2013 (Apr. 06, 2013)
How does sound work? All the sounds that you encounter in everyday life - such as a car horn, the barking of a dog, or your favorite song - are produced by invisible waves that travel through the air at high speeds. In this class, we will examine what makes certain sounds appear to be so different from others, and why some sounds appear to be musical while others do not. We will also learn why musical intervals such as an octave or perfect fifth sound pleasant while intervals such as a minor second sound unpleasant.


H219: The Greatest Good for the Greatest Number? An Introduction to Utilitarianism in Splash 2013 (Apr. 06, 2013)
How does one determine right from wrong? Two centuries ago, the philosopher Jeremy Bentham proposed a solution: an action is considered good if the pleasure that it produces outweighs the pain. In this class, we will examine this theory, known as utilitarianism, and debate whether it is possible to quantify pleasure and pain in the manner that Bentham and others proposed. We will also examine some criticisms of utilitarianism in order to arrive at our conclusion about how to determine right from wrong.


M153: See the Fourth Dimension! in Splash 2012 (Mar. 31, 2012)
You know what a 3-dimensional cube look like. Now what would a 4-dimensional cube look like? What properties would the 4-dimensional cube have? In this class, we will construct a 4-dimensional cube, try to count its number of faces (3-dimensional and 2-dimensional), and look at other properties of the 4-cube. We will also watch a crazy video with animations that rotate the 4-cube, take 3-dimensional cross-sections If we have time, we will also generalize other solids such as the tetrahedron and octahedron to higher dimensions, or discuss other multi-dimensional topics of your choice.


X154: Board Games! in Splash 2012 (Mar. 31, 2012)
What's more fun than playing games? This class will be a chance for you to compete with your fellow students and play your favorite board games. I'll go over the rules and strategy a bit, but for the most part, you'll be on your own. Some of the games that will be included are chess, checkers, Reversi, Scrabble, Risk, Settlers of Catan, and others (email me if you have any suggestions). Don't know how to play these games? Don't worry, I (or other students in the class) can teach you!