Course Title: Numerical Methods
Part B: Course Detail
Teaching Period: Term1 2010
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:firstname.lastname@example.org
Name and Contact Details of All Other Relevant Staff
Teacher : Michael Nyblom
Office Number: 8:9:31
Office Number: +61 3 9925 2189
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
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
UTENES008A Provide Technical leadership in the workplace.
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 tutorials in each of the units in order to complete the learning outcomes, tasks and assessment outcomes using
any software or electronic calculator , provided and recommended materials, references and the textbook.
|11 Feb||1||A short introduction to non-Linear Equations|
|18 Feb||2||The bisection method for root finding|
|26 Feb||3||Newton’s Method for root finding|
|4 Mar||4||An introduction to polynomial interpolation|
|11 Mar||5||Examples of Interpolation of polynomial|
|18 Mar||6||The trapezoidal rule|
|25 Mar||7||The Simpson’s rule|
|8 Apri||9||Test 1 worth 40 %|
|15 Apri||10||Introduction of Approximating Polynomial|
|22 Apri||11||Taylor polynomails|
|29 Apri||12||Taylor Series|
|6 May||13||Solving Linear Differential Equations with constant coefficients|
|13 May||14||Euler’s Method for solving DE numerically|
|20 May||15||Introduction to Matrices and Linear Algebra|
|3 June||17||Test 2 worth 40%|
RMIT Lecture Notes
Advanced Engineering Mathematics C. Ray Wylie and Louis C. Barrett
The Maple Book, Frank Garvan
Overview of Assessment
Test 1 worth 50%
Test 2 worth 50%
Students will be provided with exercises to practice the use of numerical algorithms to approximate solutions to algebraic and differential equations.
There are two Tests
Test 1: worth 40% held during Week 9
Test 2 : worth 40% held during Week 17
Periodic Quizs: worth 20%
Course Overview: Access Course Overview