MTH2010

Multivariable calculus

Coordinator: Dr Alan Pryde

6 points - Three 1-hour lectures, one 1-hour problem class and one 1-hour computer laboratory per week - Second semester - Clayton - Prerequisite: MTH1030 - Prohibitions: MAT2010, MAT2030, MAT2901, MAT2910, MAT2911

Objectives On the completion of this subject, 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 calculate partial derivatives and 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.

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. Functions of a complex variable. Use of a computer algebra package.

Assessment Examination (3 hours): 50% - Projects: 50%

Prescribed texts

Hughes-Hallet D and others Calculus single and multivariable 2nd edn, Wiley, 1998

Back to the 1999 Science Handbook