# MTH2010 - Multivariable calculus

## 6 points, SCA Band 2, 0.125 EFTSL

#### Offered

Clayton First semester 2007 (Day)

Clayton Second semester 2007 (Day)

Gippsland First semester 2007 (Off-campus)

#### 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): 50%

Projects: 50%

#### Contact hours

Three 1-hour lectures, one 1-hour support class and one 1-hour computer laboratory per week

#### Prerequisites

MTH1030 or MAT1085

#### Prohibitions

MAT2901, MAT2911