units

MTH2121

Faculty of Science

Undergraduate - Unit

print version

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.

LevelUndergraduate
FacultyFaculty of Science
OfferedClayton First semester 2012 (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

One of MTH1020, MTH1030, MTH1035 or MAT1830

Prohibitions

MTH3121, MTH2122, MTH3122