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MATH 409 Proofs from the Notebook 3 Credits
The aim of this course is to introduce a selection of proofs of some important theorems. These proofs require moderate background but high ingenuity. Among the topics are: Division algorithm, prime factorization theorem, some primitive results on the distribution of primes. Greatest common divisor. Euler's totient function. Phytagorean triples. A short survey of metric spaces; continuity, compactness, connectedness. Stone- Weierstrass approximation theorem. Geometry of the sphere. Brouwer fixed point theorem. Borsuk's antipodal mapping theorem.
Last Offered Terms Course Name SU Credit
Fall 2023-2024 Proofs from the Notebook 3
Fall 2020-2021 Proofs from the Notebook 3
Fall 2014-2015 Proofs from the Notebook 3
Fall 2013-2014 Proofs from the Notebook 3
Fall 2010-2011 Proofs from the Notebook 3
Fall 2009-2010 Proofs from the Notebook 3
Prerequisite: MATH 201 - Undergraduate - Min Grade D
and MATH 301 - Undergraduate - Min Grade D
Corequisite: __
ECTS Credit: 6 ECTS (10 ECTS for students admitted before 2013-14 Academic Year)
General Requirements: