GAS1642

Engineering mathematics 1B

J Arkinstall, A Carr and J Wright

4 points
* 39 hours lectures and 13 hours tutorials
* Second semester
* Gippsland/distance
* Prerequisites: GAS1641

Objectives The student is expected to demonstrate an understanding of the basic computational techniques of calculus, including those involving partial differentiation of functions of two variables; 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 row-reduction algorithms for solution of linear systems, and eigenvalues and eigenvectors of a small square matrix; demonstrate an understanding of the structure of the solution set of a linear system and of the interpretation and uses of eigenvalues and eigenvectors.

Synopsis Topics covered include calculus and linear algebra Calculus Complex numbers; hyperbolic functions and their inverses; extension of systematic indefinite integration beyond GAS1641; extension of differential equations including homogenous and linear ODE's; convergence of series; Taylor's theorem; partial differentiation and local extrema of functions of two variables. Linear algebra Linear systems of equations and row-reduction algorithms; linear dependence of vectors and subspaces of Euclidean n-space; eigenvalues and eigenvectors; diagonalisation of matrices; applications to mechanical and electrical systems.

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