![]() ![]() You’re all adults now.” Real Analysis is a trial that every mathematics major goes through in some form, and because it lays the foundations for much of the applied sciences, Physicists, Statisticians, and Economists often go through it as well. As one of my favorite professors once said: “This class is serious. This implies that Real Analysis was a major milestone of my (and others) undergraduate mathematics career. I.e., Calculus where all you do is proofs. I.e., limits, differentiation, integration. Real Analysis is the study of the real number line from a mathematical point of view. Since I was an Applied Mathematics major, I not only needed to know calculus, I needed to know the proofs behind calculus. ![]() In economics, you might be trying maximize your ever-coveted utils. I have no idea what is maximized or minimized in real physics, so I won’t pretend to know, but I do know that at least in Newtonian physics, calculus is good at describing physical phenomena, since I am pretty sure people have exams that involve throwing balls and taking derivatives. In statistics and machine learning, you might be trying to maximize a likelihood function to obtain parameters that describe your data. One of the constants in “Applied Mathematics” is the use of calculus for a variety of applications. Also known as Rudin’s Infamous Tiny Torture Box.įor my undergrad, I majored in Applied Mathematics at a university that was fairly well known for its mathematics department. ![]()
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