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%

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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