MAT5203
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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 |
