Introduction to Applied Mathematics: Modeling, Equations and Proofs

The course will consist of 3 or 4 concrete applications, for which precise mathematical questions will be formulated, and a mathematical framework developed that will make it possible to answer these questions. In doing so, we will encounter and explore portions of real analysis, probability, linear algebra, convex analysis, information theory and maybe others. We will also learn how to construct watertight mathematical arguments, and explore different proof techniques. Prerequisites: none, beyond high school calculus.