MTH2010

Multivariable calculus ( 6 points, SCA Band 2, 0.125 EFTSL)

Leader: Dr Leo Brewin

Offered:
Clayton First semester 2005 (Day)
Gippsland First semester 2005 (OCL)
Clayton Second semester 2005 (Day)

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 Stokes? 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 problem class and one 1-hour computer laboratory per week

Prerequisites: MTH1030 or MAT1085

Prohibitions: MAT2901, MAT2911