MTH2122 - Algebra and number theory I

Leader: Associate Professor Hans Lausch

Offered

Clayton Second semester 2007 (Day)

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%

Contact hours

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

Prerequisites

MTH1030 or equivalent

Prohibitions

MTH2121, MTH3121, MTH3122