Monash University Handbook 2010 Undergraduate - Unit

Synopsis

Functions of several variables, partial derivatives, extreme values, Lagrange multipliers. Multiple integrals, line integrals, surface integrals. Vector differential calculus; grad, div and curl. Integral theorems of Gauss and Stokes. Use of a computer algebra package.

Objectives

On completion of this unit students will be able to understand basic concepts in multivariable calculus and its applications in a number of areas of mathematics and science; they will be able to determine extreme values of multivariable functions; evaluate line, double, triple and surface integrals; comprehend the concepts of gradient, divergence and curl; use the divergence theorem and Stoke's theorem; and have developed skills in the use of computer algebra software as an aid for modelling and in the production of scientific reports.

Assessment

Examination (3 hours): 60%
Projects: 40%

Chief examiner(s)

Dr Simon Clarke

Contact hours

Three 1-hour lectures and one 2-hour computer laboratory per week

Prerequisites

MTH1030 or MAT1085

Prohibitions

MAT2901, MAT2911