# 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:selva.venkatesan@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Teacher : Michael Nyblom

Office Number: 8:9:31

Office Number: +61 3 9925 2189

E-Mail: michael.nyblom@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: - Performance Criteria: UTENES008A Provide Technical leadership in the workplace.

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 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.

Teaching Schedule

 Dates Week Number Content 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 1 Apri 8 Revision 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 27 May 16 Revision 3 June 17 Test 2 worth 40%

Learning Resources

Prescribed Texts

 RMIT Lecture Notes

References

 Advanced Engineering Mathematics C. Ray Wylie and Louis C. Barrett

Other Resources

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%

Assessment Matrix

Course Overview: Access Course Overview