MAT1055

Mathematics 1A

(SCI)

Dr John Arkinstall

6 points + First semester + 3 hours of lectures and 2 hours of tutorials per week + Gippsland/OCDL + Prerequisites: An appropriate Year 12 Mathematics or MAT1049 + Prohibitions: GAS1641, MAT1010, MAT1020, MAT1050

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.

Assessment: Assignments (and a class test for on-campus students): 30% + Examination (3 hours): 70%