Authorised by Academic Registrar, April 1996
Objectives The aim of this subject is to prepare students for the application of calculus methods in science, the technologies and mathematics.
Synopsis Topics include functions, 1-1 functions, inverse functions; sketching of rational functions; convergence of infinite sequences and series; review of differentiation with applications to approximations, the finding of local extreme points, rate problems and curve sketching; definite integration with application to areas, volume and centres of mass, hyperbolic functions and their inverses; systematic indefinite integration; first-order separable, homogeneous and linear ordinary differential equations; second-order ordinary differential equations of various simple types including second-order linear equations with constant co-efficients; Taylor's theorem with applications to the approximation of functions and integrals; partial differentiation and local extrema of functions of two variables. For the Gippsland class the subject is taught by lectures and tutorials. For the distance education class, four two-hour classes are held during weekend schools in each semester to supplement a skeletal set of notes.
Assessment Continuous assessment: 40% + Examination: 60% + For Gippsland students the continuous assessment is by a number of class tests, while for distance education students it is by two assessable assignments.