Difference between revisions of "MAT5203"

Latest revision as of 14:06, 18 March 2023

Introduction to Lebesgue measure and integration. Sample textbook: Real Analysis by H. L. Royden.

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

@@ Line 1: / Line 1: @@
-Introduction to Lebesgue measure and integration.
+Introduction to Lebesgue measure and integration. Sample textbook: Real Analysis by H. L. Royden.
+==Topics List==
+{| class="wikitable sortable"
+! 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
+||
+|}