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

Assignment 1, Assignment 2, Examination, Practical assessment tasks

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
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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.

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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.