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 startingWeek 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

AssessmentTopics covered% of final assessment
Mid semester TestStudied from week 1 - 740%
End of semester testStudied from week 8- 19

40%

Project 1 Studied from week 1 - 710%
Project 2 Studied from week 8- 1910%

Course Overview: Access Course Overview