MAT1055

Mathematics 1A ( 6 points, SCA Band 2, 0.125 EFTSL)

Leader: Dr John Arkinstall

Offered:
Gippsland First semester 2005 (Day)
Gippsland First semester 2005 (OCL)

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: An appropriate Year 12 Mathematics or MAT1049

Prohibitions: GAS1641, MAT1010, MAT1020, MAT1050