Course Title: Numerical Methods

Part B: Course Detail

Teaching Period: Term2 2010

Course Code: OENG5210

Course Title: Numerical Methods

School: 155T Life & Physical Sciences

Campus: City Campus

Program: C6016 - Advanced Diploma of Engineering Technology (Principal Technical Officer)

Course Contact : Tatjana Grozdanovski

Course Contact Phone: +61 3 9925 4689

Course Contact

Name and Contact Details of All Other Relevant Staff

Teacher:  Michael Nyblom
Room: 8.9.31

Teacher:  Tatjana Grozdanovski
Room: 51.6.04

Nominal Hours: 60

Regardless of the mode of delivery, represent a guide to the relative teaching time and student effort required to successfully achieve a particular competency/module. This may include not only scheduled classes or workplace visits but also the amount of effort required to undertake, evaluate and complete all assessment requirements, including any non-classroom activities.

Pre-requisites and Co-requisites

The following modules (or equivalents) should be preferably completed prior to, or in conjunction with, this module:
• VBH 624 Advanced Engineering Mathematics 1
• VBH 625 Advanced Engineering Mathematics 2
• VBG 871 Differential Equations

Course Description

The purpose of this module is to provide participants with the skills, knowledge and attitudes required to determine approximate numerical solutions to mathematical problems which cannot always be solved by conventional analytical techniques, and to demonstrate the importance of selecting the right numerical technique for a particular application, and carefully analysing and interpreting the results obtained.

National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

VBG872 Numerical Methods

Learning Outcomes

On completion of this module the learner should be able to:
1. Apply appropriate algorithms to solve selected problems, both manually and by writing computer programs.
2. Compare different algorithms with respect to accuracy and efficiency of solution.
3. Analyse the errors obtained in the numerical solution of problems.
4. Using appropriate numerical methods, determine the solutions to given non-linear equations.
5. Using appropriate numerical methods, determine approximate solutions to systems of linear equations.
6. Using appropriate numerical methods, determine approximate solutions to ordinary differential equations.
7. Demonstrate the use of interpolation methods to find intermediate values in given graphical and/or tabulated data.

Details of Learning Activities

Students will be provided with classroom tutorial instruction in each of the units in order to complete the learning outcomes, tasks and assessment outcomes using the recommended materials, references and the textbook.

Teaching Schedule

Week No.Content
 17 Aug 1An introduction to Numerical methods
 24 Aug 2The bisection method for root finding
 1 Sep
 Student Vacation
 7 Sep 3Newton’s method for root finding
 14 Sep 4An Introduction to polynomial interpolation
 21 Sept
 5Test 1 worth 40%
 28 Sep 6Examples of Interpolation of polynomial 
 5 Oct 7The trapezoidal rule 
12 Oct 8The Simpson’s rule 
19 Oct 9Solving 1st order Differential Equations numerically
26 Oct 10Revision
 2 Nov 11Public Holiday
9 Nov12Test 2 worth 40%
Note: Dates and activities may alter. Students will be advised in advance

Learning Resources

Prescribed Texts

RMIT Lecture Notes


Lecture Notes handed out in class

Other Resources

Overview of Assessment

Assessment for this module will consist of the following:

A Mid-Semester test worth 40%

Three tutorials worth a total of 20%

A Final examination worth 40% 

Assessment Tasks


Three tutorials

Duration: 30 mins each

Combination of three tutorials worth 20%

Mid Semester Test

Topics: : Introduction to Numerical Methods, Bisection Method for root finding, Newton’s method of root finding and Interpolation,.

Duration: 2 hours

Worth: 40% of overall score

Final Semester Examination

Topics: Trapezoidal Rule, Simpson’s rule and Solving first order differential equations numerically

Duration: 2 hours

Worth: 40% of overall score

Note: This course outline is subject to change. Students should check with their lecturer.

Assessment Matrix


Course Overview: Access Course Overview