Monash University Handbook 2010 Undergraduate - Unit

Synopsis

Topics covered include the following. Calculus: complex numbers; extension of systematic indefinite integration beyond MTH1055; extension of differential equations including homogeneous and linear ODEs; convergence of series; Taylor's theorem; partial differentiation and local extrema of functions of two variables. Linear algebra: linear systems of equations, row-reduction algorithms; linear dependence of vectors and subspace of Euclidean n-space; eigenvalues and eigenvectors; diagonalisation of matrices; applications to population growth models and mechanical systems.

Objectives

On completion of this unit the student is expected to demonstrate an understanding of the basic computational techniques of calculus, including those involving infinite series representation of functions and partial differentiation of functions of two variables; understand the conceptual basis of calculus sufficiently 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.

Assessment

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

Chief examiner(s)

Dr John Arkinstall

Contact hours

Three hours of lectures and one 1-hour tutorial per week

Prerequisites

MTH1055

Prohibitions

MAT1085, MTH1030, ENG1902