MTH2021

Linear algebra with applications

(SCI)

Coordinator: Dr Alan Pryde

6 points + Three 1-hour lectures and one 1-hour support class per week + First semester + Clayton + Prerequisites: MTH1030 or MAT1841 or equivalent + Prohibitions: MAT2020, MAT2912 or GAS2613

Synopsis: Vector spaces, linear transformations. Determinants, eigenvalue problems. Inner products, symmetric matrices, quadratic forms. Jacobi iteration, Gauss-Seidel iteration, least squares approximation, power method. Applications to coding, computer graphics, geometry, dynamical systems, Markov chains, differential equations.

Assessment: Examination (3 hours): 70% + Assignments: 20% + Laboratory work: 10%.