| Module code | MAT 352 |
| Qualification | Undergraduate |
| Faculty | Faculty of Natural and Agricultural Sciences |
| Module content | Groups: Definition and examples, permutation group of a set, symmetry of a figure, subgroups, cyclic groups and dihedral groups, homomorphisms and isomorphisms. Quotient groups: Equivalence relations, cosets and Lagrange's theorem, normal subgroups and quotient groups, isomorphism theorems.Rings and fields: Rings, integral domains and fields, subrings and ring homomorphisms, polynomial rings, polynomial and Euclidean rings (division algorithm, Euclidean algorithm, unique factorization, factoring real and complex polynomials, factoring rational and integral polynomials). Geometrical constructions: Constructable numbers, constructability and extensions of Q, constructability and polynomials, classical problems. |
| Module credits | 15.00 |
| Programmes |
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| Prerequisites | MAT 261 |
| Contact time | 3 lectures per week, 1 discussion class per week |
| Language of tuition | English |
| Academic organisation | Mathematics and Applied Maths |
| Period of presentation | Semester 1 |
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