Duration:
Number of lectures per week: 4 and 1 tutorial
Assessment: Two two-hour examinations, one at the end of Michaelmas term and one at the end of Hilary term, count for 20% each
End-of-year Examination: One 3-hour exam in May/June counts for 60%

Description: The following topics are covered: Elementary set theory; the integers; group theory including the group axioms, examples of groups and applications, permutation groups, cosets, normal subgroups, quotient group, homomorphisms and isomorphisms; rings and fields; linear algebra including linear independence, vector spaces and inner product spaces, basis and dimension, Cauchy-Schwarz, orthogonality, linear transformations, matrices, matrix-vector multiplication, invertibility and singularity, techniques for solving systems of linear equations, canonical forms for matrices including Jordan form, eigenvalues and eigenvectors, orthogonal matrices.

More information can be found at http://www.maths.tcd.ie/~ryan/111.html

Mar 26, 2007