620-122 Mathematics B (Advanced)

Students may gain credit for only one of 620-122, 620-142, [05]620-192, [05]620-194 or 620-211.

Students in the combined degree BE/BSc should note that credit exclusions exist between this subject and Engineering mathematics subjects. Refer to entries for 431-201 Engineering Analysis A and 431-202 Engineering Analysis B for details.

One of 620-120 (UMEP Maths for High Achieving Students), 620-121, or a grade of H1 in either 620-140 or 620-141.

This subject gives a solid grounding in key areas of mathematics needed in modern science and technology, and is the gateway to many recent mathematical developments. Little of the material here has been seen at school, and the level of understanding required represents a distinct advance on the minimum necessary in previous subjects.

Topics include general vector spaces, linear independence, bases, dimension, inner product spaces, linear transformations, matrix of a linear transformation, change of basis, rank, inverse, solution of linear equations, eigenvectors and eigenvalues, rotation matrices, diagonalization, real-symmetric and orthogonal matrices, modular arithmetic and Euclid's algorithm.

Applications include encryption, error correcting codes, graphs and networks, and the classification of quadratic forms.

Up to 24 pages of written assignments due during the semester (15%); a 3-hour written examination in the examination period (85%).