Course Description

Mathematics 207a/b Real Analysis I

A rigorous introduction to analysis on the real line, primarily for honors students. Sets, functions, natural numbers. Axioms for the real numbers. Completeness and its consequences. Sequences and limits. Continuous and differentiable functions. The Mean Value Theorem.

Prerequisite: Calculus 050a/b plus one of 051a/b or 081a/b, or Applied Mathematics 026, or the former Applied Mathematics 020, or 023a/b plus 024a/b, or the former Mathematics 027 in each case with a minimum grade of "C".
4 lecture hours, half course.


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