Overview
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.
Offerings
S1-01-CLAYTON-ON-CAMPUS
S2-01-CLAYTON-ON-CAMPUS
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Dr Norm Do
Unit Coordinator(s)
Dr Norm Do
Dr Yann Bernard
Learning outcomes
On successful completion of this unit, you should be able to:
1.
Understand and apply multivariable calculus to problems in the mathematical and physical sciences;
2.
Find and classify the extrema of functions of several variables;
3.
Compute line, surface and volume integrals in Cartesian, cylindrical and spherical polar coordinates;
4.
Apply the integral theorems of Green, Gauss and Stokes;
5.
Present a mathematical argument in written form.
6.
Present a mathematical argument in written form.
Teaching approach
Active learning
Assessment
1 - Continuous assessment
2 - Examination (3 hours and 10 minutes)
Scheduled and non-scheduled teaching activities
Applied sessions
Lectures
Workload requirements
Workload
Learning resources
Required resources
Other unit costs
Costs are indicative and subject to change.
Miscellaneous items required (Unit course reader, Printing, Stationery) - $120.
Availability in areas of study
Applied mathematics, Astrophysics, Atmospheric science, Financial and insurance mathematics, Mathematical statistics, Mathematics, Physics, Pure mathematics