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

Part B: Course Detail

Teaching Period: Term2 2011

Course Code: EEET6769C

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

School: 130T Vocational Engineering

Campus: City Campus

Program: C6083 - Advanced Diploma of Electronics and Communications Engineering

Course Contact: Dr Elmas ALIU

Course Contact Phone: +61 3 9925 4360

Course Contact Email: elmas.aliu@rmit.edu.au


Name and Contact Details of All Other Relevant Staff

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

ISYS 5664C

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.


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
2. Complete work and document problem solving activities.

Performance Criteria:

1. Provide computational solutions to engineering problems.

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.

2. Complete work and document problem solving activities.

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


N/A


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
1

Introduction to the competency of EEET6769C

Linear Algebra:
Matrix Algebra

UEENEEE027B:

 PC (elements):

1.1-1.6

 2.1

                

 
2

• Matrices and the inverse of a matrix
• Linear mappings

UEENEEE027B:

PC (elements):

1.1-1.3, and 1.5-1.6

2.1

 
3

• Determinants
• Solutions of linear equations

UEENEEE027B:

PC (elements):

1.1-1.6, and 

2.1

 
4

Vectors
• Introduction
• Geometrical representation
• Addition and scalar multiplication
• Dot and cross product

Lines and Planes
• Equations of lines and planes

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
5

Functions of multiple Variables
• Graphs, level curves and surfaces
• Partial derivatives, chain rule; directional derivative
• Maxima and minima

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

Assignment  handed out (worth 20% of total mark) due date end of week 16.
6

Sequences and series
• Algebraic and Fourier series, convergence

UEENEEE027B:

PC (elements):

1.1-1.3, and
2.1

 
7

Sequences and series (cont)

• Taylor’s Theorem. Taylor’s Polynomials
• Power series, addition, composition and multiplication

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
8

Practice test and revision

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

Practice test and revision
9Test Test  (worth 30% of total mark)
10

Differential Equations:

• Introduction and definition
• First order separable and linear equations
• Applications of first order differential equations

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
11

• Second Order linear Differential Equations

• Applications of second order differential equations

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
12

Partial Differential equations

• Numerical Techniques for solving partial differential equations

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 

 
13

• Applications of partial differential equations to engineering problems

Number Theory

• Integer, irrational and complex numbers
• Number systems
• Arithmetic operations
• Accuracy and stability

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
14

Statistics

• Assembly, representation and analysis of distributions to data
• Fitting distributions to data

UEENEEE027B:

PC (elements):

1.1-1.4, and
2.1

 
15

• Non-parametric statistics
• Tests of significance for means, variance and extreme values
• Correlation

UEENEEE027B:

PC (elements):

1.1-1.4, and
2.1 - 2.2

 
16

Revision. Practice Exam

UEENEEE027B:

PC (elements):

1.1-1.6, and
2.1 - 2.2

 
17 /18Final Exam Final Exam either in Week 12 or 18 of the two Centralised Exam period (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

Progressive assessments will include written and oral demonstration, assignments, tests, projects and computer assisted learning.


Assessment Tasks

Assessment task 1 (assignment ): 20%
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. Also, will include: an understanding with applications of differential equations, partial differential equations, number theory, statistics and probability. This assessment allows students to work as a group which will help to revise and prepare for the next assessment (Test and Final Exam).

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 hours.

Assessment task 3 (Final Exam): 50%
This assessment demonstrates an understanding with applications of 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, differential equations, partial differential equations, number theory, statistics and probability. The time allowed for this test is no more that 2.5 hours.


Assessment Matrix

Element Covered
Assessment TaskProportion of Final AssessmentSubmission Time
1 and 2Test 30%
Week 9
1 and 2

Assignment

Final Exam

 20%

50%

Week 16

Week 17 or 18

Other Information

• Minimum student directed hours are 16 in addition to 64 scheduled teaching hours.
• Student directed hours involve completing activities such as reading online resources, assignments, preparation for test and exam and individual student-teacher course-related consultation

Course Overview: Access Course Overview