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Area/Catalogue
MATH 3042

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Course Level
Undergraduate

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Offered Externally
No

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Course ID
174552

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Unit Value
4.5

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University-wide elective course
No

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Timetable/s

Second Semester
(Study Period 5)
Course owner

Course owner
UniSA STEM

Course aim

To introduce students to a selection of basic numerical techniques, and to give some insight into numerical analysis theory, practice and application.

Course content

Non-linear equations: fixed point iteration, Newton’s method and variants, accelerating convergence.
Interpolation: Lagrange polynomials, divided differences. Polynomial least squares. Numerical differentiation. Root-finding without derivatives. Numerical integration: Newton-Cotes formulae, Romberg integration. Direct solution of systems of linear equations. Ordinary differential equations: initial value problems by Taylor and Runge-Kutta methods, higher order systems, linear boundary value problems by linear shooting. Optimisation: one dimensional minimisation by golden ratio, parabolic, gradient descent, Nelder-Mead; Brent’s and Newton’s methods, and cubic interpolation.

Textbook(s)

Nil

Prerequisite(s)

Common to all relevant programs
Subject Area & Catalogue Number Course Name
MATH 1056 Linear Algebra
MATH 1055 Calculus 2

Corequisite(s)

Nil

Teaching method

Component Duration
INTERNAL, MAWSON LAKES
Seminar 2 hours x Weekly
Tutorial 1 hour x Weekly
Computer Practical 1 hour x Weekly

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, Test/Quiz

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:
How to determine your Commonwealth Supported course fee. (Opens new window)

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:
How to determine the relevant non award tuition fee. (Opens new window)

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.

Course Coordinators

Degrees this course is offered in

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