Course Title: Use advanced computational processes to provide solutions to engineering problems

Part B: Course Detail

Teaching Period: Term1 2011

Course Code: EEET6769C

Course Title: Use advanced computational processes to provide solutions to engineering problems

School: 130T Vocational Engineering

Campus: City Campus

Program: C6084 - Advanced Diploma of Computer Systems Engineering

Course Contact: Program Manager

Course Contact Phone: +61 3 9925 4468

Course Contact Email: engineering-tafe@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

Dr Elmas Aliu
elmas.aliu@rmit.edu.au
9925 4360

Nominal Hours: 80

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

Nil.

Course Description

This unit covers the application of advanced computational processes to solve engineering problems. It encompasses working safely, applying problem solving techniques, using a range of advanced mathematical processes, providing solutions to electrical/electronics engineering problems and justifying such solutions.
Note. Typical engineering problems are those encountered in meeting requirements in a design brief, meeting performance requirements and compliance standards, revising systems operating parameters and dealing with system malfunctions.


National Codes, Titles, Elements and Performance Criteria

National Element Code & Title:

UEENEEE027B Use advanced computational processes to provide solutions to engineering problems

Element:

1. Provide computational solutions to engineering problems.

Performance Criteria:

1.1 OHS procedures for a given work area are
identified, obtained and understood.

1.2 The nature of the problems are obtained from
documentation or work supervisor to establish the
scope of work to be undertaken.

1.3 Problems are clearly stated in writing and/or
diagrammatic form to ensure they are understood
and appropriate methods used to resolve them.

1.4 Known constants and variable related to the
problem are obtained from measured values or
problem documentation.

1.5 Alternative methods for resolving the problem are
considered and where necessary discussed with
appropriate person(s).

1.6 Problems are solved using advanced mathematical
processes and within the realistic accuracy.

Element:

2. Complete work and document problem solving activities.

Performance Criteria:

2.1 Justification for solutions used to solve engineering
problems is documented for inclusion in
work/project development records in accordance
with professional standards.
2.2 Work completion is documented and appropriate
person(s) notified


Learning Outcomes



Details of Learning Activities

Students will participate face to face in

Classroom tutorial activities to consolidate the core essential mathematical concepts for engineering study, which may include:
• Linear algebra, including matrices, determinants, linear mappings, solving systems of linear equations
• Vector algebra and applications
• Function of multiple variables (partial derivatives)
• Sequences and series
• Differential equations, partial differential equations,
• Number theory,
• Statistics and probability

Work simulation activities focus in technical leadership activities, which include: team building, identify team member’s work task, clear and concise dissemination of ideas and information, planning and organising activities to meet requested standards. Demonstrate leadership characteristic, such as: problem solving, keeping records and documenting tasks.


Teaching Schedule

Week NumberTopic DeliveredAssessment Task
1Introduction to the competency of EEET6769C

Linear Algebra:
Matrix Algebra
 
2• Matrices and the inverse of a matrix
• Linear mappings
 
3• Determinants
• Solutions of linear equations
 
4Vectors
• Introduction
• Geometrical representation
• Addition and scalar multiplication
• Dot and cross product

Lines and Planes
• Equations of lines and planes

 
5Functions of multiple Variables
• Graphs, level curves and surfaces
• Partial derivatives, chain rule; directional derivative
• Maxima and minima
Assignment 1 handed out (worth 10% of total mark) due date end of week 9.
6Sequences and series
• Algebraic and Fourier series, convergence
 
7Sequences and series (cont)

• Taylor’s Theorem. Taylor’s Polynomials
• Power series, addition, composition and multiplication
 
8Practice test and revisionPractice test and revision
9Test 1

Test 1 (worth 30% of total mark)
10Differential Equations:

• Introduction and definition
• First order separable and linear equations
 
11• Applications of first order differential equations
• Second Order linear Differential Equations
 
12• Applications of second order differential equations

Partial Differential equations
 
13• Numerical Techniques for solving partial differential equations

• Applications of partial differential equations to engineering problems
 
14Number Theory

• Integer, irrational and complex numbers
• Number systems
• Arithmetic operations
• Accuracy and stability
Assignment 2 (worth 10% of total mark) handed out. Due date last day of week 17
15Statistics

• Assembly, representation and analysis of distributions to data
• Fitting distributions to data
 
16• Non-parametric statistics
• Tests of significance for means, variance and extreme values
• Correlation
 
17Revision. Practice test 2Assignment 2
Due date.

Practice test
18Test 2Test 2 (worth 50% of total mark)


Learning Resources

Prescribed Texts

Glyn James, Modern Engineering Mathematics, fourth edition, Pearson Education Australia

9780132391443


References

Croft A, Davidson R, Mathematics for Engineers, third edition, Pearson Education Australia

9780132051569


Other Resources


Overview of Assessment

Assessment may incorporate a variety of methods including written/oral activities and demonstration of practical skills to the relevant industry standards. Participants are advised that they are likely to be asked to personally demonstrate their assessment activities to their teacher/assessor. Feedback will be provided throughout the course.


Assessment Tasks

Assessment task 1 (assignment 1): 10%
Written assignment to demonstrate an understanding with applications of linear algebra, including matrices, determinants, linear mappings, solving systems of linear equations, vectors, lines and planes, function of multiple variables (partial derivatives) and sequences and series which are covered from week 1 to week 8. This assessment allows students to work as a group which will help to revise and prepare for the next assessment (Tes1) which will cover similar topics.

Assessment task 2 (test 1): 30%
This assessment demonstrates an understanding with applications of linear algebra, including matrices, determinants, linear mappings, systems of linear equations, vectors, lines and planes, function of multiple variables (partial derivatives) and sequences and series which are covered from week 1 to week 8. The time allowed for this test is no more that 2.5 hours.

Assessment task 3 (assignment 2): 10%
Written assignment to demonstrate an understanding with applications of differential equations, partial differential equations, number theory, statistics and probability which is covered from week 10 to week 17. Similar to the assignment 1, students can work/study in groups which will help to revise and prepare for the next assessment (Test 2) which will cover similar topics.

Assessment task 4 (test 2): 50%
This assessment demonstrates an understanding with applications of differential equations, partial differential equations, number theory, statistics and probability which is covered from week 10 to week 17. The time allowed for this test is no more that 2.5 hours.(Similar to Test 1).


Assessment Matrix

Element CoveredAssessment TaskProportion of Final AssessmentSubmission Time
1 and 2Assignment 1
Test 1
10%
30%
Week 9
Week 9
1 and 2Assignment 1
Test 1
10%
50%
Week 18
Week 18

Course Overview: Access Course Overview