Undergraduate - UnitMTH2010 - Multivariable calculus

Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.

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.

Outcomes

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)

Associate Professor Steven Siems (Semester One)
Dr Simon Clarke (Semester Two)

Contact hours

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

Prerequisites

MTH1030, MTH1035, or MTH1085

Prohibitions

MAT2901, MAT2911, MTH2015