Vector Calculus with Applications

Course aim

The course aims to introduce the students to differential and integral calculus of vector-valued functions, which arise in a wide range of application areas such as engineering, fluid mechanics, electromagnetism and other areas of physics.

Course content

Vectors and orthogonal transformations; curvilinear coordinates and summation convention; scalar and vector valued functions; the gradient of a scalar field, divergence and curl of vector fields; surface and volume elements in generalise curvilinear coordinates; line integrals; surface integrals; the theorems of Green, Gauss and Stokes; applications.

Textbook(s)

G. B. Arfken and H. J. Weber 2007, Mathematical Methods for Physicists, 6th edn, Academic Press, London

Prerequisite(s)

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 1, Assignment 2, Examination

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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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.