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
S1-FF-CLAYTON-FLEXIBLE
S2-01-CLAYTON-ON-CAMPUS
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Dr Yann Bernard
Unit Coordinator(s)
Dr Jian He
Notes
IMPORTANT NOTICE:
Scheduled teaching activities and/or workload information are subject to change in response to COVID-19, please check your Unit timetable and Unit Moodle site for more details.
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 - In-semester 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