Monash University Handbook 2010 Undergraduate - Unit

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%.

Chief examiner(s)

Dr Christopher Hough

Contact hours

Three 1-hour lectures and one 2-hour support class per week

Prerequisites

MTH1030 or MAT1841 or equivalent

Prohibitions

MAT2912