MATH 454. Honours Analysis 3.
Credits: 3
Offered by: Mathematics and Statistics (Faculty of Science)
Terms offered: Fall 2025
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Description
Measure theory: sigma-algebras, Lebesgue measure in R^n and integration, L^1 functions, Fatou's lemma, monotone and dominated convergence theorem, Egorov’s theorem, Lusin's theorem, Fubini-Tonelli theorem, differentiation of the integral, differentiability of functions of bounded variation, absolutely continuous functions, fundamental theorem of calculus.
- Prerequisite(s): MATH 255
- Restriction: Not open to students who have taken MATH 354.