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Unit Code: WFMS0001
Unit Name: Mathematics for STEM
Duration of Exam
(including reading time if applicable):
Reading Time 10 minutes
Writing Time 2 hours
Assessment Administration
(including downloading/printing the question paper
and scanning and uploading of answer file)
30 minutes
TOTAL TIME 2 hours 40 minutes
Total No. of Questions: 9 (nine) questions
Total No. of Pages
(including this cover sheet): 7 (seven) pages
GENERAL INSTRUCTIONS TO STUDENTS:
• The due time will not be extended in case a student downloads an exam paper later than the start time specified for an exam.
• Students are required to follow the instructions provided to them by their teacher, a Senior Teacher, on iLearn or in the relevant assessment
task documents.
• This exam paper may not be disseminated in any way.
• Students may only access authorised materials during this examination. A list of authorised material is available on this cover sheet.
• This is an individual assessment task. Students must refrain from communicating in any way with another student or other third parties
during the examination.
• Students are responsible for maintaining academic integrity during assessments by abiding by Macquarie University's Student Code of
Conduct and Academic Integrity Policy.
• If it is alleged a student has breached these rules at any time during the examination, the matter may be reported to a University Discipline
Committee for determination.
A 10-minute Zoom session will be available during the reading time at the start of this exam. If you have any
queries regarding the instructions or questions in the exam paper, you can “Zoom in” and talk to a
Teacher/Senior Teacher. This zoom session link will be available above the examination link on iLearn on the
day/time of your exam. Any further questions after the 10-minute period cannot be answered.
INSTRUCTIONS
1. This examination must be completed, and your answer file uploaded to the Final Exam submission link
provided on iLearn within the time stipulated. Late submissions will NOT be accepted.
2. This paper consists of the following sections:
Question Type of Question Unit Content Examined Marks Allocated
1 short answer question
This paper may examine any
topics covered in this Unit.
10 marks
2 short answer question 10 marks
3 short answer question 15 marks
4 short answer question 10 marks
5 short answer question 10 marks
6 short answer question 12 marks
7 short answer question 15 marks
8 short answer question 12 marks
9 short answer question 6 marks
Exam TOTAL 9 questions 100 marks
3. Write your Student ID number, Name and Surname at the top of each page of your answer document.
4. Attempt all questions in this paper as per instructions provided. To gain full marks you must support ALL
your answers with clear and detailed workings.
5. To complete this assessment use your own paper to handwrite your answers. You must clearly label each
part of the question you are answering.
6. No marks will be awarded for unlabelled or illegible work.
7. Use a scanner (or scanner app**) to create ONE pdf or Microsoft Word (.doc or .docx) file containing
all your answers.
** Use a free scanning app, such as:
• Camscanner
• Microsoft Office Lens
• Adobe Scan
These are examples of apps that allow you to take photos of your pages using your mobile phone’s camera
and combine them together into a single pdf document.
8. Submit your answer document by uploading it to the submission link provided on iLearn BEFORE the
deadline. You can only upload ONE file containing all your answers to this link.
The only accepted file types for upload are:
• pdf
• Microsoft Word® (.doc and .docx)
No other file types will be accepted.
9. Verify that your submission to the assessment submission link on iLearn was successful.
• Re-open the submission link and check that your submission can be opened and viewed, and that
you have uploaded the correct file.
• It is your responsibility to ensure that you submit the correct file.
• If you submit the wrong file you will NOT be given the opportunity to resubmit after the exam
deadline.
• It is your responsibility to ensure that you submit to the correct submission link.
• If you submit to the wrong link you will NOT be given the opportunity to resubmit after the exam
deadline.
• You can resubmit your file until the exam deadline.
10. Failure to upload your answers BEFORE the deadline will result in a zero mark being awarded for this task.
Late submissions will NOT be accepted.
SUBMISSION TROUBLE SHOOTING
If you experience any difficulties during submission, refer to the following table for a solution.
Note that in all instances, your EMAIL must be received BEFORE the exam deadline.
Potential Problem What to do
Experiencing difficulties with the
submission because of a
technical issue.
Using your Macquarie University email address send an email to
Georgeta Stanica via [email protected] advising him/her of
the problem. You must include your answer file/s as attachments to this
email.
Your EMAIL must be received BEFORE the exam deadline. Emails
received after the deadline will not be considered.
AIDS AND MATERIALS PERMITTED:
This is an open book examination. You may access your unit’s iLearn space class notes and lesson materials,
personal handwritten notes and textbook. Use of other internet sites or materials are NOT permitted.
Calculators are permitted.
Formula Sheet (provided at the end of this document).
Candidates must supply their own materials as these will not be supplied by the University.
Materials permitted in the examination may not be shared among students.
Formula Sheet
Sequences and Series Functions
= + ( − 1) = −±�2−42
= 2 [2 + ( − 1)] = 2 ( + )
= −1
= (1 − )1 − = ( − 1) − 1 , ≠ 1
∞ = 1 − , || ≠ 1
Trigonometry
= 1
sin
tan = sin
cos
= 1
cos
cot = cos
sin
= 1
tan
2 + 2 = 1 cos(90 − ) = sin
2 + 1 = 2 cot(90 − ) = tan
2 + 1 = 2 cosec(90 − ) = sec θ
sin( + ) = sin cos + cos sin sin + sin = 2 sin +
2
cos −
2
cos ( + ) = cos cos − sin sin sin − sin = 2 cos+
2
sin −
2
tan( + ) = tan+tan
1−tan tan
cos + cos = 2 cos+
2
cos −
2
cos − cos = −2 sin +
2
sin −
2
sin 2 = 2 sin sin 3 = 3 sin − 4 3 cos 2 = 2 − 2 = 22 − 1 = 1 − 22 3 = 4 3 − 3 cos
tan 2 = 2 tan 1− 2 tan 3 = 3 tan− 31−3 2
Let = 12 θ sin = 21 + 2 cos = 1 − 21 + 2 tan = 21 − 2
+ = ( + α)
+ = ( − α)
where = √2 + 2, α is in the first quadrant
such that α =
Differentiation Integration
If () = , then ′() = −1
��()�� = ′�()�′() or
=
() = ′ + ′
�
� = ′−′
2
Trapezoidal Rule: ∫ () = ∆2 [(0) + 2(1) + 2(2) + ⋯+ ()]
Simpson’s Rule: ∫ () = ∆3 ((0) + 4(1) + 2(2) + ⋯+ 4(−1) + ())