Undergraduate 2019/2020 Faculty of Science Mathematics BSc (120 credit hour) Concentrated Honours in Mathematics

BSc (120 credit hour) Concentrated Honours in Mathematics - Intermediate Analysis I

CREDIT HOURS: 3

MATH 3501.03 continues the analysis sequence begun in MATH 2505.03. Topics include: Metric spaces, point-set topological notions, sequences, completeness, separability, compactness (Heine-Borel, Bolzano-Weierstrass, Finite Intersection, complete and totally bounded), limits and continuity, continuity in topological terms, connectedness, path and local-path connectedness, homeomorphisms, uniform continuity, Lipschitz continuity, contractions, contraction principle, sequences of functions, uniform convergence. Further topics may include: Arzela-Ascoli theorem, Stone-Weierstrass theorem.

FORMAT: Lecture

PREREQUISITES: MATH 2135.03, MATH 2505.03

EXCLUSIONS: MATH 3500X/Y.06

**MATH 3501 Intermediate Analysis I**CREDIT HOURS: 3

MATH 3501.03 continues the analysis sequence begun in MATH 2505.03. Topics include: Metric spaces, point-set topological notions, sequences, completeness, separability, compactness (Heine-Borel, Bolzano-Weierstrass, Finite Intersection, complete and totally bounded), limits and continuity, continuity in topological terms, connectedness, path and local-path connectedness, homeomorphisms, uniform continuity, Lipschitz continuity, contractions, contraction principle, sequences of functions, uniform convergence. Further topics may include: Arzela-Ascoli theorem, Stone-Weierstrass theorem.

FORMAT: Lecture

PREREQUISITES: MATH 2135.03, MATH 2505.03

EXCLUSIONS: MATH 3500X/Y.06