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In the eighteenth and nineteenth centuries, mathematics underwent a vast expansion, into new, exciting, and increasingly counter-intuitive realms. The subject risked mystification and mutual incomprehensibility between experts in different sub-fields. In the first part of the twentieth century, a group of French mathematicians, under the pseudonym Bourbaki, undertook an
This intermediate/advanced linear algebra class will focus mostly on two main topics: spectra, and tensors. The theory of matrix spectra, (eigenvalues and eigenvectors), is arguably one of the most useful ideas in all of mathematics. We will discuss some major applications, such as input-output models in economics, the Page Rank algorithm, JPEG compression, the Fast Fourier
All but a handful of the objects you see in the night sky are stars in our Galaxy, the Milky Way. Although we know about these stars only from studying their light, we know today that they are not just points of light, but large, gravitationally‐bound balls of plasma governed by the laws of physics. Stars, together with dust, gas, and dark matter,
In the last thirty years, the study of life beyond our own planet has gone from science fiction to legitimate science. The course will initially focus on how stars form and evolve, starting from the formation of the universe, and continuing to a discussion of stars as both the synthesizers of heavy elements and the central energy source for stellar systems. From there, we
In this course, we will focus on developing the statistical skills needed to answer questions by collecting data, designing experimental studies, and analyzing large publicly available datasets. The skills learned will also help students to be critical consumers of statistical results. We will use a variety of datasets to develop skills in data management, analysis, and
