MATH 454 - Honours Analysis 3. |

Review of point-set topology: topological space, dense sets, completeness, compactness, connectedness and path-connectedness, separability. Arzela-Ascoli, Stone-Weierstrass, Baire category theorems. Measure theory: sigma algebras, Lebesgue measure and integration, L^1 functions. Fatou's lemma, monotone and dominated convergence theorem. Egorov, Lusin's theorems. Fubini-Tonelli theorem.
3.000 Credit hours Schedule Types: Lecture, Final Exam, Midterm Exam, Optional Tutorial Faculty of Science Mathematics and Statistics Department Restrictions: May not be enrolled in one of the following Levels: Doctorate Masters & Grad Dips & Certs May not be enrolled in one of the following Faculties: Faculty of Dentistry Faculty of Medicine School of Continuing Studies |

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