Multivariable Calculus

Course aim

This course introduces the student to the theory of differential and integral calculus of real- and vector-valued functions of more than one real variable. The theoretical development is supported by examples and applications from the physical world, including a wide range of application areas such as engineering, fluid mechanics, electromagnetism and other areas of physics.

Course content

Functions of two and three variables, partial derivatives, gradient, divergence, curl, chain rule, optimisation with and without constraints, double and triple integrals, change of variables of integration, the Jacobian, line integrals, surface integrals, and the theorems of Green, Gauss, and Stokes.

Textbook(s)

Stanley J. Miklavcic 2020, An Illustrative Guide to Multivariable and Vector Calculus, 1st Edition, Springer International Publishing

Prerequisite(s)

A student must have had the equivalent of a full year of calculus, plus a linear algebra course.

Corequisite(s)

Nil

Teaching method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Assignment, Examination

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
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Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.