Numerical Methods
Undergraduate
Undergraduate
To introduce students to a selection of basic numerical techniques, and to give some insight into numerical analysis theory, practice and application.
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.
Nil
Common to all relevant programs | |
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Subject Area & Catalogue Number | Course Name |
MATH 1056 | Linear Algebra |
MATH 1055 | Calculus 2 |
Nil
Component | Duration | ||
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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.
Examination, Problem solving exercise, Test/Quiz
EFTSL*: 0.125
Commonwealth Supported program (Band 1)
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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.