Course Title: Differential Equations
Part B: Course Detail
Teaching Period: Term1 2014
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: Donna Baker
Room: 51.6.20
Email:donna.baker@rmit.edu.au
Phone: 9225 4536
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 |
25 & 26 Mar
|
1 | First order Differential Equations – Type 1, 2 & 3 (Separable Variables) |
01 & 02 Apr |
2 |
Tutorial 1 - First Order Type 1 & 2 First order Differential Equations – Type 4 & 5 (Linear Differential Equations, Homogenous) Revision |
08 & 09 Apr |
3 |
Tutorial 2 - First Order Type 3 & 4 Revision Test 1 - First Order Differential Equations |
15 & 16 Apr |
4 | Second order linear Homogeneous Differential Equations,non- Homogeneous Differential Equations where Particular Integral – f(x) is a polynomial, f(x) is an exponent |
22 & 23 Apr | Easter Break | |
29 & 30 Apr |
5 |
Second order linear non- Homogeneous Differential Equations where Particular Integral – f(x) is a trigonometrical Tutorial 3 - Second Order Homogeneous & non Homogeneous where f(x) is a polynomial |
06 & 07 May |
6 |
Revision
|
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%
Assessment Tasks
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.
Homogenous
Duration: 2 hours
Worth: 40% of overall score
Date: 9 April
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: 7 May
Note: This course outline is subject to change. Students should check with their lecturer
Assessment Matrix
Course Overview: Access Course Overview