MTH218 Multivariable Calculus (8)

CSU Discipline Area: Mathematics and Statistics (MASTA)

Duration: One session

Abstract:

This subject extends the study of calculus to functions of several variables. Partial derivatives are reviewed and double and triple integrals introduced.
Study of the calculus of vector fields including the differential operators grad, div, and curl, and line and surface integrals leads to higher dimensional versions of the Fundamental Theorem of Calculus: Green's Theorem, Stokes' Theorem and the Divergence Theorem.

+ Subject Availability Modes and Locations

Session 1
Distance	Orange

Continuing students should consult the SAL for current offering details: MTH218

Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.

Prerequisite(s):

MTH102

Objectives:

Upon successful completion of this subject, students should:

Be able to work with conics and simple quadric surfaces;
Be able to calculate partial derivatives and the gradient;
Be able to evaluate double and triple integrals;
Be able to evaluate line integrals and recognise a conservative field;
Be able to use the operators div and curl;
Be able to evaluate surface integrals;
Be able to understand and use Green's Theorem, Stokes' Theorem and the Divergence Theorem.

Syllabus:

The subject will cover the following topics:

Conics and quadric surfaces; Functions of several variables; Partial derivatives, linear approximation, gradient; Double and triple integrals; Vector fields; Line integrals, fundamental theorem; Green's Theorem; Surface integral or flux of a vector field; Stokes' Theorem; Divergence Theorem.

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