Faculty of Science

Undergraduate - Unit

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

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered, or view unit timetables.

FacultyFaculty of Science
OfferedClayton First semester 2012 (Day)
Coordinator(s)Dr Tom Hall


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.


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


One of MTH1020, MTH1030, MTH1035 or MAT1830


MTH3121, MTH2122, MTH3122