620-142 Mathematics B

Students may only gain credit for 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, 620-140 or 620-141.

This subject develops the concepts of vectors, matrices and the methods of linear algebra as tools for modern mathematics and introduces modular arithmetic. Students should develop the ability to use the methods of linear algebra and gain an understanding of methods of mathematical proof. Students will also gain experience in using a mathematical software system.

Linear algebra topics include real n-space Rⁿ, vector spaces in general, axioms, linear independence, bases, dimension, inner products; linear transformations, matrix representation of a linear transformation, change of basis, rank, inverse, solution of linear equations; eigenvectors and eigenvalues, rotation matrices, diagonal, real symmetric and orthogonal matrices. Modular arithmetic topics include computation modulo n, division with remainder, mathematical induction and Euclid's Algorithm. Applications will be chosen from error correcting codes, cryptography, graphs and networks, and the classification of conics and quadric surfaces.

Up to 36 pages of written assignments or project work due during the semester (20%); a 3-hour written examination in the examination period (80%).