Incompatible with MATH2001, MATH2006, MATH2063. Notes will be provided. See Dr E. Ormerod for further details. An introduction to the use of abstract methods in mathematics, using algebraic systems that play an important role in many applications of mathematics. Abelian groups and fields, arithmetic of integers mod n and finite fields.
Vector spaces over arbitrary fields, subspaces, bases, linear transformations.
Eigenvalues, eigenvectors, eigenspaces, geometric and algebraic multiplicity and diagonalisation. The prerequisite is MATH1014 or MATH1116 or MATH2301. Incompatible with MATH2016. Notes will be provided. See Dr E. Ormerod for further details.