Calculate the conjugate complex number of z = a + bi 2 a – bi 2 (——–) + (——–) a – bi a + bi You must correctly answer all questions to show that you understand the knowledge required of this unit. The Imperial College of Australia (classroom) Assessment Task 3: Written Questions You must correctly answer all questions to show that you understand the knowledge required of this unit. The Imperial College of Australia (classroom,) Assessment Task 4: You are required to demonstrate your ability The Imperial College of

You can make an appeal about an assessment decision by putting it in writing and sending it to us. Refer
to your Student Handbook for more information about our appeals process.
Plagiarism, cheating and assessment dishonesty:
Imperial considers plagiarism and cheating as a serious misdemeanour. Evidence of plagiarism and
cheating is treated on a case-by-case basis and the consequences for students engaging in such practices
may include failure of the assessment or unit or exclusion from the course. For more information, refer to
imperial’s Assessment Policy.
For written Questions and Answers
Re-assessment: If you do not achieve the required standard, you will be given the opportunity to be reassessed by our Assessor. Arrangements will be made on an individual basis. If you are deemed to be NS
(Not Satisfactory), your assessor will either ask specific questions orally, and record them with you or you
will be asked to resubmit your responses.
All completed work is to be handed in to your trainer/assessor by the date specified.

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ICTTEN813 Produce engineering solutions using
numerical computations and simulation
This information is to be handed to each student to outline the assessment requirements.
Assessment Information
How to submit your assessments
When you have completed each assessment task you will need to submit it to your assessor.
Instructions about submission can be found at the beginning of each assessment task.
When and where do students need to do this?
 Students will do this task in the at the Imperial College of Australia classroom or lab
 Provide students with the due date for this assessment so they can submit on the due date.
Assessment Task Cover Sheet
At the beginning of each task, you will find an Assessment Cover Sheet. Please fill it in for each task,
making sure you sign the student declaration.
Your assessor will give you feedback about how well you went in each task, and will write in the Cover
Sheet.
Make sure you have a copy of your completed assessments before you submit them – your assessor will
put the documents you submit into your student file. These will not be returned to you.
Assessment appeals
You can make an appeal about an assessment decision by putting it in writing and sending it to us. Refer
to your Student Handbook for more information about our appeals process.
Plagiarism, cheating and assessment dishonesty:
Imperial considers plagiarism and cheating as a serious misdemeanour. Evidence of plagiarism and
cheating is treated on a case-by-case basis and the consequences for students engaging in such practices
may include failure of the assessment or unit or exclusion from the course. For more information, refer to
imperial’s Assessment Policy.
For written Questions and Answers
Re-assessment: If you do not achieve the required standard, you will be given the opportunity to be reassessed by our Assessor. Arrangements will be made on an individual basis. If you are deemed to be NS
(Not Satisfactory), your assessor will either ask specific questions orally, and record them with you or you
will be asked to resubmit your responses.
All completed work is to be handed in to your trainer/assessor by the date specified.
Please note:
It is expected that all written assessment will be submitted as hard copy or with the agreement of your
trainer/assessor electronically by email.
If submitting assessments by email you must use the following details in your email:
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 Unit code and title (i.e. – ICTTEN813 Produce engineering solutions using numerical computations and
simulation)
 Student name and ID
 Assessment number and title (i.e. – Assessment 1 – Written Questions)
Alternative methods of submission (other than hard copy or email) will need to be agreed with your
trainer/assessor
Document formats
File Format:
 .doc
 .docx
 .xls
 .xlsx
 .ppt
 .pptx
 .pdf
Font sizes should range between 10 and 14 and you should always use system fonts such as Calibri, Arial,
Times New Roman or Tahoma.
Image and video formats
Video or motion graphics:
 .avi – Audio Video Interleave File
 .mov – Apple QuickTime Movie
 .wmv – Windows Media Video File
 .mpg – MPEG Video File
 .swf – Macromedia Flash Movie
 .flv – Flash Video files
Larger video files may need to be supplied on a USB, CD or DVD.
Still image formats:
 .jpeg or jpg
 .tiff
 .png
 .gif
Classroom / Simulated environment
The Imperial College of Australia ensures that the training delivered is to the standards of a real
workplace context. To meet this context The Imperial College of Australia has implemented an approach
to delivery that uses the facilities and systems of The Imperial College of Australia as the workplace. The
Imperial College of Australia has placed all of its own policies and procedures and proformas and
legislation on a dedicated drive/website accessible by students. Students are given a wide range of
websites as part of the qualification that similarly provide access to wide ranging workplace
documentation to support individual units such ashttp://www.comcare.gov.au/virtual_workplaces/
This ensures that students have access to a full range of workplace documentation. The various facilities
and equipment of The Imperial College of Australia are also accessible to students e.g. photocopiers,
computers, board rooms, presentation equipment etc. A variety of training approaches will be
implemented during the course of the qualification. The Imperial College of Australia’s trainers represent
the role of a real client and portray the workplace demands while working on projects. This includes roleplay of difficult & diverse type customers.
Students prepare time lines, schedule milestones, communicate, prepare documentation, and conduct
training in accordance with the client (trainer) demands. Students will also be expected to work as a team
(group work/assignments), fulfilling responsibilities and expectations of the job and workplace.
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If role plays are required, the assessor Will ensure all ‘actors’ or ‘participants’ perform in a professional
manner – reflecting an actual workplace. Participants will be informed of their expected involvement.
a. If a simulated workplace is used, it must allow for distractions such as background noises,
ringing telephones, interruptions – etc.
b. Each student must dress appropriately and professionally in line with workplace standards.
Relating their project to their current or preferred vocational direction
In the event that the assessment is activities will impact on the safety of a student or bystander, the
assessment must be stopped immediately.
Retention of your submitted work
ASQA the national regulator of Vocational Education and Training requires that The Imperial College of
Australia keeps all the original assessment works for a period of six months or until the end of student’s
course whichever is the longer. Students must keep all copies of their submitted assessments. You may
require them to resubmit their assessment(s) where original submissions are damaged or corrupted. No
original work can be returned to students until after the period prescribed by ASQA.
Re-Assessment
Students who are dissatisfied with their assessment outcome may apply for reassessment by contacting
their trainer or assessor.
Reassessment policy and instructions –
As per our current ‘Student agreement and offer acceptance form’, If a student attended the class,
submitted his/her assignment on time, attempted the theory and/or practical assessment and receives NYC
in Class activity /Assignment /Theory & Practical Assessment, Imperial will provide the student with a free
second chance of re-assessment without any charges. A re-assessment fee of $50/unit of competency will
be charged, if the student fails the unit on second attempt.
The total number of attempts to pass any unit of competency is limited to three including the first
assessment with regular class. The students have to re-enrol in the unit if he/she is unsuccessful after
three attempts. Students have an option of making a request to change his/her assessor for second and
third attempt.
Absent during Assessment without a valid reason – As per our current ‘Student agreement and offer
acceptance form’, if you are absent from class without a valid reason (for example, a medical certificate is
not provided) and miss part of or an entire assessment, Student will need to repeat the unit as a catch up
in consultation with the student welfare officer.
Reasonable adjustment
A legislative and regulatory framework underpins and supports the delivery of vocational education and
training across Australia. Under this framework, providers of vocational education and training must take
steps to ensure that learners with recognized disabilities can access and participate in education and
training on the same basis as learners without disabilities. Sometimes reasonable adjustments are made to
the learning environment, training delivery, learning resources and/or assessment tasks to accommodate
the particular needs of a learner with a disability. An adjustment is reasonable if it can accommodate the
learner’s particular needs, while also taking into account factors such as: the views of the learner; the
potential effect of the adjustment on the learner and others; the costs and benefits of making the
adjustment.
Adjustments must:
 Be discussed and agreed to by the learner with a disability
 Benefit the learner with a disability
 Maintain the competency standards
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 Be reasonable to expect in a workplace.
Adjustments are not required if they could:
 Cause the RTO unjustifiable hardship
 Harm other learners.
Making reasonable adjustments requires the RTO to balance the need for change with the expense or
effort involved in making this change. If an adjustment requires a disproportionately high expenditure or
disruption it is not likely to be reasonable.1
Some examples of reasonable adjustments that could be made for the assessments include:
 verbal responses to written activities (such as questions and answers tasks and case studies)
 conducting assessor workplace observations via Skype or other video format (for example, in cases of
students in remote areas)
 rescheduling assessor observations in the event that conditions may not be suitable (for example,
safety concerns, required resources not being available, lack of appropriate clients on the day, and so
on)
 Record any reasonable adjustments made in the space provided in the re task’s checklist in the
Assessment Record Tool.
Resources:
Recommended Books
 Numerical Analysis and Optimization : An Introduction to Mathematical Modelling and
Numerical Simulation, Grégoire Allaire and Alan Craig 2007. New York: Oxford University
Press
Web Resources
Assessment Context and Conditions
Assessment
Summary of
Description
Assessment Task About this task Location
Assessment Task 1:
Written Questions
You must correctly answer all questions to
show that you understand the knowledge
required of this unit.
The Imperial College of
Australia (classroom)
Assessment Task 2:
Written Questions
You must correctly answer all questions to
show that you understand the knowledge
required of this unit.
The Imperial College of
Australia (classroom)
Assessment Task 3:
Written Questions
You must correctly answer all questions to
show that you understand the knowledge
required of this unit.
The Imperial College of
Australia (classroom,)
Assessment Task 4: You are required to demonstrate your ability The Imperial College of
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Project to communicate and promote workplace
sustainability and review workplace
sustainability policy implementation.
Australia (classroom, lab)
Assessment
Timeframe
The report of Assessment 1, 2, 3 and 4 will be due on the end date of the unit.
Performance
Evidence
Evidence of the ability to:
 solve a range of complex mathematical functions related to telecommunications
engineering
 use software systems to produce simulations of mathematical solutions
 analyze results of software simulations
 design telecommunications systems using software simulations
 document and present software solutions for engineering problems.
Note: If a specific volume or frequency is not stated, then evidence must be provided at least once.
Assessment must ensure Location
Gather evidence to demonstrate consistent performance in conditions that
are safe and replicate the workplace. Noise levels, production flow,
interruptions and time variances should be typical of those experienced in the
telecommunications networks engineering field of work and include access
to:
 networked computers
 simulation software
 relevant documentation
 a range of industry scenarios or workplace examples.
The Assessor’s office at The
Imperial College of Australia
campus (simulated
workplace)
Assessment agreement
Make sure you read through the assessments in this booklet before you fill out and sign the agreement below.
If there is anything that you are unsure of, consult your assessor prior to signing this agreement.
Have you read the assessment requirements for this unit?  Yes  No
Do you understand the requirements of the assessments for this unit?  Yes  No
Do you agree to the way in which you are being assessed?  Yes  No
Do you understand your rights to re-assessment?  Yes  No
Do you understand your right to appeal the decisions made in an assessment?  Yes  No
If you have any specific needs that should be considered, please provide details
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Student name
Student signature Date :
Assessor name
Assessor signature Date :
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ICTTEN813 Produce engineering solutions using numerical
computations and simulation
ASSESSMENT 1 (WRITTEN QUESTIONS)
Instructions to Student
 This is an open book assessment to be conducted in the classroom.
 You have 2 hours to complete the Written Test
 You are to provide answers to each of the questions in a separate document using MS Word or
similar word processing tools. Your document should be professionally formatted, with questions
retyped and numbered.
 You must answer all questions satisfactorily to achieve competency in the assessment activity.
 Your answers should be in your own words, not copied or plagiarised from any person or source
except where appropriate such as a definition, in which cases you should reference the source.
 Ask your assessor if you do not understand a question. Whist your assessor cannot tell you the
answer, he/she may be able to re-word the question for you.
 Re-assessment: If you do not achieve the required standard, you will be given the opportunity to
be re-assessed by our Assessor. Arrangements will be made on an individual basis. If you are
deemed to be NS (Not Satisfactory), your assessor will either ask specific questions orally and
record them with you or you will be asked to resubmit your responses.
 Feedback: Your assessor will provide feedback to students after the completion of the
assessment. The assessor will explain the appeals process when required.
You required to answer all the following
Q1
Q2.
Prove that 1 + tan 2q tan q = sec 2q.
Q3
Prove that 1 + cot 2q cot q = cosec 2q cot q.
Q4. Prove that
cos 4A cos A – sin 4A sin A = cos 3A cos 2A – sin 3A sin 2A.
Q5
Q6
Q7
Q8
Find tanA when cos 2A = 0.96.
Q9
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Q10
END OF WRITTEN ASSESSMENT
Before you hand in your written assessment, make sure that you:
1. Re-check your answers and make sure you are happy with your responses
2. Have written your Name, Student ID Number, and Date on the first page
Student Signature:
Assessor’s Comment:
Assessor’s Signature:
Date:
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ICTTEN813 Produce engineering solutions using numerical
computations and simulation
ASSESSMENT 2 (WRITTEN QUESTIONS)
Instructions to Student
 This is an open book assessment to be conducted in the classroom.
 You have 2 hours to complete the task
 You are to provide answers to each of the questions in a separate document using MS Word or
similar word processing tools. Your document should be professionally formatted, with questions
retyped and numbered.
 You must answer all questions satisfactorily to achieve competency in the assessment activity.
 Your answers should be in your own words, not copied or plagiarised from any person or source
except where appropriate such as a definition, in which cases you should reference the source.
 Ask your assessor if you do not understand a question. Whist your assessor cannot tell you the
answer, he/she may be able to re-word the question for you.
 Re-assessment: If you do not achieve the required standard, you will be given the opportunity to
be re-assessed by our Assessor. Arrangements will be made on an individual basis. If you are
deemed to be NS (Not Satisfactory), your assessor will either ask specific questions orally and
record them with you or you will be asked to resubmit your responses.
 Feedback: Your assessor will provide feedback to students after the completion of the
assessment. The assessor will explain the appeals process when required.
Part 1
Q1If functions f and g are such that
f(x) = g(x) + k
where k is a constant, then
(A) f ‘(x) = g ‘(x) + k
(B) f ‘(x) = g ‘(x)
(C) None of the above
Q2. If f(x) = g(u) and u = u(x) then
(A) f ‘(x) = g ‘(u)
(B) f ‘(x) = g ‘(u) . u ‘(x)
(C) f ‘(x) = u ‘(x)
(D) None of the above
Q3 lim [e x
-1] / x as x approaches 0
is equal to
(A) 1
(B) 0
(C) is of the form 0 / 0 and cannot be calculated.
Q4. The derivative of [g(x)] 2
is equal to [g ‘(x)] 2
.
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True
False
Q5 The derivative of f(x) .g(x) is equal to f ‘(x) g(x) + f(x).g ‘(x).
True
False
Q6If f(x) is a differentiable function such that f ‘(0) = 2, f ‘(2) = -3 and f ‘(5) = 7 then the limit
lim [f(x) – f(4)] / (x – 4) as x approaches 4.
is equal to
(A) 2
(B) -3
(C) 7
(D) None of the above
Q7
If f(x) and g(x) are differentiable functions such that
f ‘(x) = 3 x and g ‘(x) = 2 x 2
then the limit
lim [(f(x) + g(x)) – (f(1) + g(1))] / (x – 1) as x approaches 1.
is equal to
(A) 5
(B) 0
(C) 20
(D) None of the above
Q8 Below is the graph of function f. This graph has a maximum point at B.
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If xA, xB and xC are the x coordinates of points A, B and C respectively and f ‘ is the first derivative of f,
then
(A) f ‘(xA) > 0 , f ‘(xB) > 0 and f ‘(xC) > 0
(B) f ‘(xA) > 0 , f ‘(xB) = 0 and f ‘(xC) > 0
(C) f ‘(xA) > 0 , f ‘(xB) = 0 and f ‘(xC) < 0
(D) f ‘(xA) < 0 , f ‘(xB) = 0 and f ‘(xC) > 0
Q9The two functions f and g defined by
f(x) = 3x + 3 for x real and g(t) = 3t + 3 for t real and positive
are equal?
True
False
Q10 If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by
(A) the union of Df and Dg
(B) the intersection of Df and Dg
(C) the intersection of Df and Dg without the zeros of function g
(D) None of the above
Q11 The graph of f(x) and that of f(x + 2) are the same
True
False
Q12 Let the closed interval [a , b] be the domain of function f. The domain of f(x – 3) is given by
(A) the open interval (a , b)
(B) the closed interval [a , b]
(C) the closed interval [a – 3 , b – 3]
(D) the closed interval [a + 3 , b + 3]
Q13 Let the interval (a , +infinity) be the range of function f. The range of f(x) – 4 is given by
(A) the interval (a – 4 , +infinity)
(B) the interval (a + 4, +infinity)
(C) the interval (a, +infinity)
(C) None of the above
Q14 The equation y = | x | , with y >= 0, represents y as a function of x.
True
False
Q15 The equation x = | y | , with x >= 0, represents y as a function of x.
True
False
Q16 If F(x) is an antiderivative of f(x) and c is any constant, then F(x) + c is also an antiderivative of
f(x).
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True
False
Q17 If F(x) is an antiderivative of f(x), then
(1/a) F(ax) is an antiderivative of f(ax).
True
False
Q18 Anantiderivative of function f plus an antiderivative of function g is an antiderivative of function f +
g.
True
False
Q19 Anantiderivative of function f divided by an antiderivative of function g is an antiderivative of
function f / g.
True
False
Q20 If f(x) = x 3
-3x 2
+ x and g is the inverse of f, then g ‘(3) is equal to
(A) 10
(B) 1 / 10
(C) 1
(D) None of the above

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ICTTEN813 Produce engineering solutions using numerical
computations and simulation
ASSESSMENT 3 (WRITTEN QUESTIONS)
Instructions to Student
 This is an open book assessment to be conducted in the classroom.
 You have 2 hours to complete the task
 You are to provide answers to each of the questions in a separate document using MS Word or
similar word processing tools. Your document should be professionally formatted, with questions
retyped and numbered.
 You must answer all questions satisfactorily to achieve competency in the assessment activity.
 Your answers should be in your own words, not copied or plagiarised from any person or source
except where appropriate such as a definition, in which cases you should reference the source.
 Ask your assessor if you do not understand a question. Whist your assessor cannot tell you the
answer, he/she may be able to re-word the question for you.
 Re-assessment: If you do not achieve the required standard, you will be given the opportunity to
be re-assessed by our Assessor. Arrangements will be made on an individual basis. If you are
deemed to be NS (Not Satisfactory), your assessor will either ask specific questions orally and
record them with you or you will be asked to resubmit your responses.
 Feedback: Your assessor will provide feedback to students after the completion of the
assessment. The assessor will explain the appeals process when required.
You required to answer all the following
Q1Solve (2 + 2i)(5 + 3i)
Q2. Solve
(3 + 7i)(4 + 3i)
Q3 The greatest and the least values of |z1 + z2| if z1 = 12+9i and |z2| = 7 are respectively?
Q4. Calculate the conjugate complex number of z =
a + bi 2 a – bi 2
(——–) + (——–)
a – bi a + bi
.
Q5 Solve :
ix2
+(1-5i)x -1+8i=0