Difference between revisions of "MAT5203"
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|| Undergraduate real analysis. | || Undergraduate real analysis. | ||
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| − | | 2 | + | | 2-3 |
|| [[Topology of the real line]] | || [[Topology of the real line]] | ||
|| 1.4-1.6 | || 1.4-1.6 | ||
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| − | | | + | | 4-5 |
| − | || | + | || [[Lebesgue measurable sets]] |
| − | || | + | || 2.1-2.7 |
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| − | | 7 | + | | 7-9 |
| − | || | + | || [[Lebesgue measurable sets]] |
| − | || | + | || 2.1-2.7 |
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| − | + | | 10-12 | |
| − | + | || [[Lebesgue integration]] | |
| − | + | || 4.1-4.6 | |
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Revision as of 12:11, 12 March 2023
Introduction to Lebesgue measure and integration.
Topics List
| Week | Sections from Royden | Prerequisite Skills | Student Learning Outcomes |
|---|---|---|---|
| 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 |
