Calculus 3

Course aim

This course introduces the student to the theory of differential and integral calculus of real valued functions of more than one real variable, including an introduction to linear partial differential equations. The theoretical development is supported by examples and applications from the physical world.

Course content

Functions of more than one real variable; level sets; limits and continuity;
Differential calculus: partial derivatives and differentiability; chain rule; directional derivatives and the gradient; the implicit function theorem; Taylor and Maclaurin series; extreme values and the quadratic form; optimisation with constraints;
Introduction to linear partial differential equations; elementary boundary value problems and solution by separation of variables. Applications.
Integral calculus: double and triple integrals; iterated integrals; change of variables in multiple integrals; the Jacobian; improper integrals.

Textbook(s)

Edwards, C.H. and Penney, D.E 2008, Calculus, 7th edn, Prentice Hall

Prerequisite(s)

1. MATH 1055 Calculus 2 and MATH 1056 Linear Algebra OR 2. MATH 1064 Mathematical Methods for Engineers 2

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	4 hrs (2x2 hrs) x 13 weeks
Tutorial	1 hour x 12 weeks

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

Assessment

Examination, Problem solving exercise

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
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.