From Department of Mathematics at UTSA
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Introduction to Lebesgue measure and integration. Sample textbook: Real Analysis by H. L. Royden.

Topics List

Week Topic Sections from Royden Prerequisites
1 Review of the field and completeness axions 1.1-1.3 Undergraduate real analysis.
2-3 Topology of the real line 1.4-1.6
4-5 Lebesgue measurable sets 2.1-2.7
7-9 Lebesgue measurable sets 2.1-2.7
10-12 Lebesgue integration 4.1-4.6