units

MTH2121

Faculty of Science

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Monash University Handbook 2010 Undergraduate - Unit

6 points, SCA Band 0 (NATIONAL PRIORITY), 0.125 EFTSL

LevelUndergraduate
FacultyFaculty of Science
OfferedClayton First semester 2010 (Day)
Coordinator(s)Dr Tom Hall

Synopsis

Groups in geometry, linear algebra, and number theory; cyclic and abelian groups; permutation groups; subgroups, cosets and normal subgroups; homomorphisms, isomorphisms and the fundamental homomorphism theorem. The Euclidean algorithm, prime factorisation, congruences, the Euler totient function; the theorems of Fermat, Euler and Wilson, and the RSA public key cryptosystem; Chinese remainder theorem; rings, fields and abelian groups in number theory.

Assessment

Examination (3 hours): 70%
Assignments and tests: 30%

Chief examiner(s)

Dr Tom Hall

Contact hours

Three 1-hour lectures and an average of one 1-hour support class per week

Prerequisites

MTH1020 or equivalent

Prohibitions

MTH3121, MTH2122, MTH3122