# MAT1055 - Mathematics 1A

## 6 points, SCA Band 2, 0.125 EFTSL

#### Offered

Gippsland First semester 2007 (Day)

Gippsland First semester 2007 (Off-campus)

#### Synopsis

Topics covered include the following. Calculus: functions; review of differentiation with applications including approximations, the finding of local extreme points, rate problems and curve sketching; definite integration with application to areas, volumes and centres of mass; systematic indefinite integration; elementary differential equations (as far as first-order separable) with applications. Linear algebra; algebra of matrices; homogeneous linear transformations; determinants; matrix inversion; vectors in three-dimensional space - scalar and vector products and applications in geometry and statics and dynamics.

#### Objectives

The student is expected to demonstrate an understanding of the basic computational techniques of calculus; understand sufficient of the conceptual basis of calculus to be able to apply it to derive formulations of scientific and engineering problems; demonstrate facility in computations involving matrices, determinants and vectors in three-dimensional space; demonstrate an understanding of the use of matrices in representing transformations and of the geometric interpretation and uses of vector algebra.

#### Assessment

Assignments (and a class test for on-campus students): 30%

Examination (3 hours): 70%

#### Contact hours

3 hours of lectures and 2 hours of tutorials per week

#### Prerequisites

VCE Mathematical methods 3 and 4 is recommended or MAT1049; students without this should consult with the unit adviser before enrolling.

#### Prohibitions

MTH1020