Functions of more than one variable
Dr Jill Wright
3 points * First semester * 2 hours per week * Gippsland/Distance * Prerequisites: GAS1611 (and GAS1612 is desirable) * Prohibition: MAT2010
Objectives The objectives of this subject are for students to achieve a basic geometric understanding of multivariable calculus techniques; develop dexterity with a range of computational techniques; achieve sufficient understanding of the techniques of calculus to apply these to the analysis of scientific, statistical and operations research problems.
Synopsis Partial differentiation and applications; continuity and differentiability of functions of more than one variable; Taylor's theorem for several variables; extreme values; the method of Lagrange multipliers; multiple integrals; change of variable techniques; introduction to partial differential equations; introduction to line and surface integrals.
Assessment Assignments: 40% * Examination: 60%
Prescribed texts
Adams R A Calculus of several variables Addison-Wesley, 1991
O'Neil P Advanced engineering maths Wadsworth, 1991
Recommended texts
Buck R C and Willcox A B Calculus of several variables
Marder L Calculus of several variables Allen and Unwin, 1972
Spiegel M Advanced calculus McGraw-Hill, 1974
| Published by Monash University, Clayton, Victoria
3168 Copyright © Monash University 1996 - All Rights Reserved - Caution Authorised by the Academic Registrar December 1996 |