Course Title: Mathematical Transforms

Part B: Course Detail

Teaching Period: Term1 2009

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

Aleksandra Labovic

 ph 99253763

aleksandra.labovic@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 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:	-

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
9 February	1	Basic results of Laplace Transforms
16 February	2	Theorems of Laplace Transforms
23 February	3	Inverse Laplace Transforms
2nd March	4	Solving Linear Differential Equations using Laplace transforms
9 March	5	Solving second order Differential Equations using Laplace transforms
16 March	6	Revision
23 March	7	Mid semester TEST
30 March	8	Periodic functions
6 April	9	Even & Odd functions
13 April	10	Easter Vacation
20 April	11	Fourier coefficients
27 April	12	Fourier series of periodic functions
4 May	13	Half range Fourier sine and cosine series
11 May	14	Partial differential equations
18 May	15	Boundary valued problem- heat equation
25 May	16	Boundary valued problem- Wave equation
1 June	17	Revision
8 June	18	Test 2
15 June	19	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 40% each

Duration of each test is two hours.

Two Projects worth 10% each

Assessment Matrix

Assessment	Topics covered	% of final assessment
Mid semester Test	Studied from week 1 - 7	40%
End of semester test	Studied from week 8- 19	40%
Project 1	Studied from week 1 - 7	10%
Project 2	Studied from week 8- 19	10%

Course Overview: Access Course Overview