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Undergraduate 
(SCI)

Leader: Dr John Arkinstall
Offered:
Gippsland First semester 2006 (Day)
Gippsland First semester 2006 (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 firstorder separable) with applications. Linear algebra; algebra of matrices; homogeneous linear transformations; determinants; matrix inversion; vectors in threedimensional 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 threedimensional 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 oncampus 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