# MTH2021 - Linear algebra with applications

## 6 points, SCA Band 2, 0.125 EFTSL

#### Offered

Clayton First semester 2007 (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 2-hour support class per week

#### Prerequisites

MTH1030 or MAT1841 or equivalent

#### Prohibitions

MAT2912