Course Description: This course is (unsurprisingly) a successor to Real Analysis I . The content of the course varies according to the needs and interests of the students in the course. This semester we will start by constructing the exponential function. (This is a good place to start because it pulls together a lot of the topics from last semester.) We will also talk about differentiation and (Riemann) integration of functions of one variable, sequences and series of functions, power series and their properties, iteration and fixed points, and differentiation of functions of several variables. As time permits we may existence and uniqueness theorems for differential equations, the implicit function theorem, measure of sets, newton's method for approximating roots, and more general integration theories.
If you have any questions, please E-mail me at schumacherc@kenyon.edu
or come see me during my
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