Course Title: Mathematical Transforms
Part B: Course Detail
Teaching Period: Term1 2008
Course Code: BUSM6020L
Course Title: Mathematical Transforms
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
Siva Rajalingam
Office 51.6.21 ph 99254515
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 Differential Equations
Course Description
Students will develop fundamental mathematical skills necessary to support articulation into tertiary studies in engineering. It provides students with basic techniques for differential equations which occur in engineering environment and the application of Fourier series and Laplace Transformations properties.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
UTENES008A Provide technical leadership in the workplace |
Element: |
- |
Performance Criteria: |
Performance criteria N/A |
Learning Outcomes
1. Determine Laplace Transformations with the aid of tables.
2. Apply the method of Laplace transformations to find solutions of initial value problems.
3. Determine the Fourier Series of periodic functions.
4 Determine half range Fourier sine and cosine series
5. Apply the method of separation of variables to solve the heat equation with prescribed boundary conditions and initial conditions
6. Apply the method of separation of variables to solve the wave equation with prescribed boundary conditions and initial conditions
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 provided and recommended materials, references and the textbook.
Teaching Schedule
| Week starting | Week No | Content |
| 11 February | 1 | Basic results of Laplace Transforms |
| 18 February | 2 | Theorems of Laplace Transforms |
| 25 February | 3 | Inverse Laplace Transforms |
| 3rd March | 4 | Solving Linear Differential Equations using Laplace transforms |
| 10 March | 5 | Solving second order Differential Equations using Laplace transforms |
| 17 March | 6 | Easter Vacation |
| 24 March | 7 | Revision |
| 31 March | 8 | Mid semester TEST |
| 7 April | 9 | Periodic functions |
| 14 April | 10 | Even & Odd functions |
| 21 April | 11 | Fourier coefficients |
| 28 April | 12 | Fourier series of periodic functions |
| 5 May | 13 | Half range Fourier sine and cosine series |
| 12 May | 14 | Partial differential equations |
| 19 May | 15 | Boundary valued problem- heat equation |
| 26 May | 16 | Boundary valued problem- Wave equation |
| 2 June | 17 | Revision |
| 9 June | 18 | End of semester TEST |
NOTE: Dates and activities may alter. Students will be advised in advance
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
Advanced Engineering Mathematics, Fourth Edition, K.A. Stroud |
Other Resources
Students will need to bring a scientific or graphic calculator to every class.
Overview of Assessment
Test 1 worth 50%
Test 2 worth 50%
Assessment Tasks
Two written tests worth 50% each
Duration of each test is two hours.
Assessment Matrix
| Assessment | Topics covered | % of final assessment |
| Mid semester Test | Studied from week 1 - 8 | 50% |
| End of semester test | Studied from week 9 - 18 | 50% |
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