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%
Assessment Tasks
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