35003 Modern Algebra8cp; Two 1.5 hour workshop sessions each week. On-campus/online depending on the current COVID situation and student location.
There are course requisites for this subject. See access conditions.
Discrete Mathematics 37181 and Linear Algebra 37233.
This subject enables students to think abstractly and work confidently with concepts underpinning much of modern mathematics and computer science. Abstract concepts such as groups, rings and fields are introduced via non-trivial applications and examples which give real-world motivation. Topics include factoring algorithms for integers, quadratic residues, permutations, normal subgroups and simple groups, finite fields, principal ideal domains and unique factorization domains, factoring algorithms for polynomials; applications to modern (post-quantum) cryptography.
Note: undergraduate students who want to take Modern Algebra as a 6 credit point subject can enrol in 35391 Seminar (Mathematics) if in Science Faculty and 31013 Directed Study if in Computer Science/FEIT Faculty.
Detailed subject description.