Course Title: Numerical Methods
Part B: Course Detail
Teaching Period: Term2 2008
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
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 software- Maple, provided and recommended materials, references and the textbook.
Teaching Schedule
Week Starting |
Week No. | Content |
18 Aug | 1 | A short introduction to the Maple language |
25 Aug | 2 | The bisection method for root finding |
1 Sep | 3 | Newton’s method for root finding |
8 Sep | 4 | An Introduction to polynomial interpolation |
15 Sep | 5 | Test 1 worth 50% |
22 Sep | Student Vacation | |
29 Sep | 6 | Examples of Interpolation of polynomial |
6 Oct | 7 | The trapezoidal rule |
13 Oct | 8 | The Simpson’s rule |
20 Oct | 9 | Solving 1st order Differential Equations numerically |
27 Oct | 10 | Revision |
3 Nov | 11 | Test 2 worth 50% |
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
The Maple Book, Frank Garvan |
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
Mid Semester Test
Topics: : Introduction to Maple Language, Bisection Method for root finding, Newton’s method of root finding and Interpolation,
Duration: 2 hours
Date: 15th September 2007
Worth: 50% of overall score
Final Semester Examination
Topics: Trapezoidal Rule, Simpson’s rule and Solving first order differential equations numerically
Duration: 2 hours
Date: 3rd November 2007
Worth: 50% of overall score
Note: This course outline is subject to change. Students should check with their lecturer.
Assessment Matrix
N/A
Other Information
N/A
Course Overview: Access Course Overview