M 471 Mathematical Analysis
Prerequisite: M 242 and M 273
Presents the basic theorems of one and multivariable analysis as a basis for higher analysis and its applications.
Prove set theoretic statements,
Determine the topological properties of subsets of the real numbers,
Define the limit of a sequence, limit of a function at a value, the Cauchy criterion and prove theorems about limits of sequences and functions,
Define continuity of a function and prove theorems about continuous functions,
Define the derivative of a function and prove theorems about the derivatives of functions,
Define Riemann integral and prove theorems about Riemann sums and Riemann integrals,
Produce proofs of results in real analysis.