Course Title: Differential Equations and Matrixes
Part B: Course Detail
Teaching Period: Term2 2009
Course Code: BUSM6021L
Course Title: Differential Equations and Matrixes
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
Dr. Ejanul Haque
Building 51 Level 6 Room 21
Ph: 9925 4530
ejanul.haque@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 and Vectors
Course Description
Students will develop fundamental mathematical skills necessary to support articulation into tertiary studies in engineering. It involves mathematical objects such as differential equations, matrices and series, which are needed by electronic engineer.
National Codes, Titles, Elements and Performance Criteria
National Element Code & Title: |
UTENES008A Provide technical leadership in the workplace |
Element: |
- |
Performance Criteria: |
UTENES008A Provide technical leadership in the workplace |
Learning Outcomes
1. Analyse and subsequently model physical situations described by differential equations
2. Interpret the solutions to first order linear and separable differential equations in terms of the physical problem
3 Interpret solutions to second order linear differential equations having constant coefficients which correspond to damping and resonance
4. Apply the concept of convergence of a series and investigate the behaviour of positive term and alternating series
5. Determine power series expansions for functions to manipulate standard power series
6. Perform basic operations on matrices
7. Use row-echelon forms to solve systems of linear equations and to determine the inverse of a matrix/
8. Interpret 3 X3 matrices geometrically, especially rotation matrices
9. Determine eigenvalues and eigenvectors of a matrix
10. Determine partial derivatives of a function of several variables and understand their physical/geometric significance
11. Use space curves to specify motion of a body through space and determine the body’s velocity
12. Determine the directional derivative and gradient of a scalar function
13. Understand the geometric significance of for a surface defined by
14. Apply functions of several variables to problems involving errors and maxima/minima
15. Evaluate simple double integrals and interpret as volume of region under a given surface
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
Note: Dates and activities may alter. Students will be advised in advance.
Week Starting |
Week Number | Content |
06 Jul | 1 | First order Differential Equations – Type 1, Type 2 |
13 Jul | 2 | First order Differential Equations - Variable Separable |
20 Jul | 3 | First order Linear Differential Equations (Integrating Factor) |
27 Jul | 4 | First Order Homogenous Differential Equations |
03 Aug | 5 | Application of First order Differential Equations |
10 Aug | 6 | Second order Linear Homogeneous Differential Equations |
17 Aug | 7 | Second order linear non- Homogeneous Differential Equations |
24 Aug | 8 | Mid semester test |
31 Aug | 8 | Mid semester break (31 Aug-06 Sep) |
07 Sep | 9 | Particular Integral – f(x) is a polynomial |
14 Sep | 10 | Particular Integral – f(x) is an exponential |
21 Sep | 11 | Particular Integral – f(x) is a trigonometrical |
28 Sep | 12 | Matrices |
05 Oct | 13 | Solving System of Linear Equations using Matrices |
12 Oct | 14 | Calculating Inverse of Square Matrix (Written Assignment Due) |
19 Oct | 15 | Eigen Vector and Eigen Values of Square Matrix |
26 Oct | 16 | Eigen Vector and Eigen Values of Square Matrix |
02 Nov/09 Nov | 17/18 | End semester test |
Learning Resources
Prescribed Texts
RMIT Lecture Notes |
References
Advanced Engineering Mathematics, Fourth Edition, K.A. Stroud |
Other Resources
Students will be expected to bring a scientific or graphic calculator to each class.
Overview of Assessment
Test 1 worth 50%
Test 2 worth 50%
Assessment Tasks
The assessment consists of Mid semester test worth 40%, an Assignment worth 10%, and End semester test worth 50% of total assessment.
The examinations will be closed book and consist of a series of short answer and application questions.
The assignment will be on application of defferential equations and student should complete it outside the class time.
Assessment Matrix
Assessment Topics Covered % of Total Assessment
Mid semester test Studied during week 1-7 40
Assignment Studied during week 1-11 10
End semester test Studied during week 6-16 50
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