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