Numerical Methods 1

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. 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, Brent’s and Newton’s methods, and cubic interpolation.

Textbook(s)

Burden, R.L. and Faires, J.D. 2011, Numerical Analysis , 9th edition, Brooks/Cole-Thomson Learning

Prerequisite(s)

Subject Area & Catalogue Number	Course Name
Group 1
MATH 1055	Calculus 2
MATH 1056	Linear Algebra
Group 2
MATH 1064	Mathematical Methods for Engineers 2

Group 1 or Group 2

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	3 hours x 13 weeks
Tutorial	1 hour x 12 weeks
Computer Practical	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, Practical, Problem solving exercise

Fees

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