# Course Title: Differential Equations

## Part B: Course Detail

Teaching Period: Term1 2013

Course Code: OENG5209

Course Title: Differential Equations

School: 155T Life & Physical Sciences

Campus: City Campus

Program: C6016 - Advanced Diploma of Engineering Technology (Principal Technical Officer)

Course Contact : Tatjana Grozdanovski

Course Contact Phone: +61 3 9925 4689

Course Contact Email:tatjana.grozdanovski@rmit.edu.au

Name and Contact Details of All Other Relevant Staff

Teacher: Tatjana Grozdanovski
Room: 51.4.16
Email: tatjana.grozdanovski@rmit.edu.au
Phone: 9225 4689

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

The following modules (or equivalents) should be preferably completed prior to, or in conjunction with, this module:
• VBH 624 Advanced Engineering Mathematics 1
• VBH 625 Advanced Engineering Mathematics 2

Course Description

The purpose of this module is to provide participants with the skills, knowledge and attitudes required to solve differential equations at a level that would allow articulation to second year engineering degree mathematics.

National Codes, Titles, Elements and Performance Criteria

 National Element Code & Title: VBG871 Differential Equations

Learning Outcomes

On completion of this module the learner should be able to:
1. Identify, analyse and subsequently solve physical situations whose behaviour can be described by ordinary differential equations.
2. Determine solutions to first order separable differential equations.
3. Determine solutions to first order linear differential equations.
4. Determine solutions to first order exact differential equations.
5. Determine solutions to second order linear homogeneous differential equations with constant coefficients.
6. Determine solutions to second order linear non-homogeneous differential equations with constant coefficients

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 provided and recommended materials, references and the textbook.

Teaching Schedule

 Date Week No. Content 21 May 1 First order Differential Equations – Type 1 & 2 28 May 2 First order Differential Equations – Separable Variables 04 June 3 First order Linear Differential Equations 11 June 4 First Order Homogenous Differential Equations 18 June 5 Test 1 25 June Student Vacation 02 July Student Vacation 09 July 6 Second order linear Homogeneous Differential Equations 16 July 7 Second order linear non- Homogeneous Differential Equations 23 July 8 Particular Integral – f(x) is a polynomial 30 July 9 Particular Integral – f(x) is an exponent 06 Aug 10 Particular Integral – f(x) is a trigonometrical & Revision 13 Aug 11 Test 2 NOTE: Dates and activities may alter. Students will be advised in advance.

Learning Resources

Prescribed Texts

 RMIT Lecture Notes Mathematical Methods for Engineers and Scientists, Fourth Edition, G.F. Fitz-Gerald & I.A. Peckham

References

 Engineering Mathematics, Fifth Edition, K.A.Stroud

Other Resources

Overview of Assessment

Assessment for this module will consist of the following:
Three in class tutorials worth 20% together
One mid semester test worth 40%
One final examination worth 40%

Tutorials

Three tutorials per semester.
Duration: ~30 mins
Combined tutorials worth 20% of overall score.

Mid Semester Test

Topics:
First Order Differential Equations
Type 1 and Type 2 Differential Equations
Separable Variables
Linear Differential Equations.

Duration: 2 hours

Worth: 40% of overall score

Date: 18th of June

Final Semester Examination

Topics:
Second Order Differential Equations
Homogeneous Differential Equations with constant co-efficients
Non-Homogeneous Differential Equations with constant co-efficients
Application of Second order Differential Equations

Duration: 2 hours

Worth: 40% of overall score

Date: 13th of August

Note: This course outline is subject to change. Students should check with their lecturer

Assessment Matrix

Course Overview: Access Course Overview