Monash University Handbook 2010 Undergraduate - Unit

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%

Chief examiner(s)

Dr Andrew Percy

Contact hours

Three hours of lectures and two hours of tutorials per week

Prerequisites

VCE Mathematical methods 3 and 4 is recommended or MTH1049. Students without this should consult with the unit adviser before enrolling.

Prohibitions

MTH1020, MAT1055