GAS1641

Engineering mathematics 1A

J Arkinstall, A Carr and J Wright

4 points
* 39 hours lectures and 13 hours tutorials
* First semester (Gippsland/distance) and second semester (distance only)
* Prerequisites: VCE Mathematical Methods 3 and 4 or GAS1601

Objectives The student is expected to demonstrate an understanding of the basic computational techniques of calculus; understand sufficient of the conceptual basis for 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.

Synopsis Topics covered include calculus and linear algebra. 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 on R2 and R3 determinants; matrix inversion; vectors in three-dimensional space - scalar and vector products and applications in geometry and statics and dynamics.

Assessment Class tests and assignments: 40%
* Examination (3 hours): 60%