# Course Title: Numerical Methods

## Part B: Course Detail

Teaching Period: Term1 2014

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 Email:tatjana.grozdanovski@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Teacher: Donna Baker

Room: 51.6.21

Email:donna.baker@rmit.edu.au

Phone: 9225 4536

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

 Date Week No. Content 13 & 14 May 1 An introduction to Numerical methods,The bisection method for root finding ,Newton’s method for root finding 20 & 21 May 2 Tutorial 1 & 2 - Bisection, Newton Methods Polynomial interpolation 27 & 28 May 3 Revision Test 1 - Bisection, Newton and Polynomial Interpolation 03 & 04 Jun 4 The trapezoidal rule and The Simpson’s rule Solving 1st order Differential Equations numerically - Euler’s method 10 & 11 Jun 5 Tutorial 3 - Trapezoid, Simpson’s rules Runge-Kutta Method 17 & 18 Jun 6 Revision Test 2 - Trapezoid, Simpson’s, Euler and Runge Kutta methods

Note: Dates and activities may alter. Students will be advised in advance.

Learning Resources

Prescribed Texts

 RMIT Lecture Notes

References

 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%

Tutorials

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

Date: 28 May

Final Semester Examination

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

Duration: 2 hours

Worth: 40% of overall score

Date: 18 June
Note: This course outline is subject to change. Students should check with their lecturer.

Assessment Matrix

Course Overview: Access Course Overview