Undergraduate - UnitMTH2121 - Algebra and number theory

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

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 Daniel Delbourgo

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