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MAT 150 Fractals and Infinity(First Year Seminar) (3 credits)

Fractals are mathematical objects that exhibit self-similarity at different scales. They can be used to model many naturally occurring phenomena such as trees, mountain ranges, circulatory systems and river tributaries. They also occur frequently in pop-culture and some images such as the Mandelbrot Set, the Sierpinski Triangle and the Koch Snowflake decorate many calendars, t-shirts and book jackets. In this first year seminar we will study the mathematics behind these, and other, fractal images. Fractals are intimately related to the concept of infinity and so we will necessarily also spend some time examining exactly what do mathematics mean when they talk about quantities that are infinitely small or infinitely large or infinitely long. Course does not fulfill the GEP Mathematics requirement;