Duration:
Number of lectures per week: 2 and 1 tutorial

Assessment: Continuous assessment through twenty homeworks and three short examinations spread over the academic year.

End-of-year Examination: No annual examination. Those who fail through continuous assessment must take a supplemental examination (in September)

Description:

The integers

Fields: rationals, reals, and complex

Vector spaces

Basis and dimension

Sets and maps

Linear maps

Matrices and Gauss-Jordan elimination

Change of basis

Permutation groups

Determinants

Cross products

Characteristic polynomial and minimum polynomial

Jordan Normal Form

Bilinear Forms

Orthonormal bases; Gram-Schmidt orthogonalisation

Spectral Theorem for Hermitian/symmetric matrices

Mar 3, 2006