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Mathematics III - Foundations of Analysis

As the name implies, this course focuses on the foundations of analysis. After taking the course, you are expected to be able to demonstrate a deep and thorough acquaintance with mathematical analysis in R^n.

This course is one of the requirements for eligibility to our Master's Programme in Mathematics.

The course treats real numbers, theorems on continuous functions on compact intervals, derivation and integration in R^n, series of functions, uniform convergence, implicit functions. The course aims at giving a deeper understanding of the foundations of real analysis.