Numerical Methods 1
Course Level Undergraduate
Area/Catalogue
MATH 2010
Course Level
Undergraduate
Offered Externally
No
Course ID
013171
Unit Value
4.5
University-wide elective course
No
Course owner
School of Information Technology and Mathematical Sciences
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)
| Common to all relevant programs | |
|---|---|
| Subject Area & Catalogue Number | Course Name |
| MATH 1054 | Calculus 1 |
| MATH 1056 | Linear Algebra |
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
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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.
Course Coordinators
Degrees this course is offered in
