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NEW Math Course Offering!

New Math Course offering in 2022-2023.

MATH-2405 Real Analysis I

This course lays the theoretical foundation of single-variable calculus by providing a careful introduction to several fundamental concepts of analysis on the real line, and provides a gateway to more advanced studies in analysis, topology and set theory. Topics covered include: functions acting on sets; countable and uncountable sets; suprema and infima; properties of the real numbers including completeness, the Archimedean property and density of the rational numbers in the real numbers; sequence convergence, monotone sequences, subsequences, the Bolzano-Weierstrass theorem and Cauchy sequences; limits of functions; continuous functions including proofs of the extreme and intermediate value theorems.  

Professor: Dr. Iian Smythe
Times: MWF 9:30-10:20, Winter 2023
Minimum grade of C in both MATH-1104 and MATH-1401 required.

This course is recommended for all mathematics majors and can be used towards a major, teachable major,
minor or teachable minor in mathematics. It is recommended that MATH-2405 be taken prior to MATH-3101 or at
the same time as MATH-3101. Contact mathstats@uwinnipeg.ca for more information.