MTH2122

Algebra and Number Theory ( 6 points, SCA Band 2, 0.125 EFTSL)

Leader: Associate Professor Hans Lausch

Offered:
Clayton Second semester 2005 (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: MTH1020, or MTH1112, or MAT1830, or equivalent

Prohibitions: MTH2121, MTH3121, MTH3122