Course Title: Numerical Methods
Part B: Course Detail
Teaching Period: Term1 2008
Course Code: BUSM6022L
Course Title: Numerical Methods
School: 155T Life & Physical Sciences
Campus: City Campus
Program: C6050 - Advanced Diploma of Electrical Engineering
Course Contact : Selva Venkatesan
Course Contact Phone: +61 3 9925 4964
Course Contact Email:selva.venkatesan@rmit.edu.au
Name and Contact Details of All Other Relevant Staff
David Farmer office 8.9.68
ph 9925 2683 david.farmer@ems.rmit.edu.au
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
Satisfactory completion of Calculus, Vectors and Mathematical Transforms
Course Description
Learners should able to understand the concept of obtaining an approximate numerical solution to mathematical problems which are not amenable to solution by analytical techniques. Also they need to see the pitfalls in relying on results obtained without proper selection of numerical techniques and careful analysis of results.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
UTENES008A Provide technical leadership in the workplace |
Element: |
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Performance Criteria: |
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Learning Outcomes
1. Implement selected algorithms, both by hand and writing a computer program
2. Compare different algorithms with regard to efficiency and accuracy.
3. Analyse the errors in a numerical solution.
4. Report work undertaken on problems in a clear and comprehensive manner
5 Application of appropriate methods for solving non-linear equations, comparing efficiency and convergence of each method.
6. Use and compare various methods for obtaining approximate solutions to systems of linear equations.
7. Compare various algorithms for obtaining numerical solutions of ordinary differential equations.
8. Apply the concept of and use interpolation methods
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
Note: Dates and activities may alter. Students will be advised in advance
| Week Starting | Week Number | Content |
11 Feb |
1 | A short introduction to the Maple language |
| 18 Feb | 2 | The bisection method for root finding |
| 25 Feb | 3 | Newton’s method for root finding |
| 3 Mar | 4 | An Introduction to polynomial interpolation |
| 10 Mar | 5 | Examples of Interpolation of polynomial |
| 17 Mar | Student Vacation |
|
| 24 Mar | 6 | The trapezoidal rule |
| 31 Mar | 7 | The Simpson’s rule |
| 7 Apr | 8 | Revision |
| 14 Apr | 9 | Test 1 worth 50% |
| 21 Apr | 10 | Newton-Cotes Integration |
| 28 Apr |
11 | Taylor polynomials and Taylor series |
| 5 May | 12 | Solving Linear Differential Equations with constant coefficients |
| 12 May | 13 | Euler’s Method of solving DE numerically |
| 19 May | 14 | Introduction to Matrices and Linear systems |
| 26 May | 15 | Solving Linear system with tridiagonal coefficient matrix |
| 2 Jun | 16 | Revision |
| 9 Jun | 17 | Test 2 worth 50% |
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
The Maple Book, Frank Garvan |
Other Resources
Overview of Assessment
Test 1 worth 50%
Test 2 worth 50%
Assessment Tasks
Mid Semester Test
Topics: Bisection Method for root finding, Newton’s method of root finding, Interpolation, Trapezoidal Rule, Simpson’s rule
Duration: 2 hours
Date: The week beginning 14th April 2008
Worth: 50% of overall score
Final Semester Examination
Topics: Newton – cotes Integration, First and Second Order Differential Equations, Taylor’s polynomial and Series, Matrices and Linear System and Tri diagonal Matrices
Duration: 2 hours
Date: The week beginning 9th June 2008
Worth: 50% of overall score
Note: This course outline is subject to change. Students should check with their lecturer
Assessment Matrix
Course Overview: Access Course Overview