MTH2021

Linear algebra with applications ( 6 points, SCA Band 2, 0.125 EFTSL)

Leader: Dr Tom Hall

Offered:
Clayton First semester 2005 (Day)

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.

Objectives: On completion of this unit students will: have a knowledge of the mathematical theory of linear algebra fundamental to any undergraduate mathematics course; be able to apply this theory in a wide variety of situations that require tools from linear algebra for their solution; have gained computational skills both with and without the aid of a computer algebra package; have enhanced skills in the oral and written communication of mathematics.

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

Contact Hours: Three 1-hour lectures and one 1-hour support class per week

Prerequisites: MTH1030 or MAT1841 or equivalent

Prohibitions: MAT2912