Calculus
BS BN BB BT BM BR BI DT DE BC BP BEC BDT
Mr Francis Benyah and Dr Alistair Carr
6 points * Full-year subject * 3 hours per week * Gippsland/Distance * Prerequisites: An appropriate Year 12 Mathematics or GAS1601
This subject aims to prepare students for the application of calculus methods in science, the technologies, and mathematics. 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 coefficients; 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
Prescribed texts
Thomas G B and Finney R L Calculus and analytic geometry 8th edn, Addison-Wesley, 1992