3ahed_99 - pure math
student.2020
MakeupAssignment-PM2.1.pdf
Pure Mathematics (FNDM PM2.1) – Spring - 20 – makeup (Assignment) –ALL – QP
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Instructions to Student
• Answer all questions.
• Deadline of submission: 10th /May /2020 23:59
• The marks received on the assignment will be scaled down to the actual weightage
of the assignment which is 40 marks
• Formative feedback on the complete assignment draft will be provided if the draft is
submitted at least 10 days before the final submission date.
• Feedback after final evaluation will be provided within two weeks as per MEC
polices.
Module Learning Outcomes The following LOs are achieved by the student by completing the assignment successfully
1. Solve quadratic equation and graph Quadratic Function
2. Sketch exponential and logarithmic functions and solve exponential and logarithmic equations
3. Apply trigonometric functions and formulae
4. Calculate probability and basic statistical measurents
Assignment Objective
This assignment is to be undertaken as individual work. You will test your understanding on learning
outcomes of the topics on Solving quadratic equation and graph Quadratic Function, solving exponential
and logarithm equations, on unit circle & trigonometric functions and on statistics and probability
measurements. Students should be able to collect data and analyze them.
`
IN SEMESTER (INDIVIDUAL) ASSIGNMENT
Module Code: FNDM PM2.1 Module Name: Pure Mathematics
Level: 0 Max. Marks: 100
Pure Mathematics (FNDM PM2.1) – Spring - 20 – makeup (Assignment) –ALL – QP
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Assignment Tasks
1. A gardener has 140 feet of fencing in a rectangular vegetable garden.
a. Find a function that models the area of the garden he can fence. ( 12 marks) b. Find the dimensions of the largest area he can fence? ( 8 marks)
2. A certain breed of rabbit was introduced onto a small island about 8 years ago. The current
rabbit population on the island estimated to be 4100, with relative growth rate of 0.55 per
year.
a. What is the initial size of the rabbit population? ( 6 marks)
b. Estimate the population 12 years from now? ( 7 marks)
Where:
A population that experiences exponential growth increases according to the model
𝑛(𝑡) = 𝑛0𝑒 𝑟𝑡
𝑛(𝑡) = 𝑝𝑜𝑝𝑢𝑙𝑎𝑡𝑖𝑜𝑛 𝑎𝑡 𝑡𝑖𝑚𝑒 𝑡
𝑛0 = 𝑖𝑛𝑖𝑡𝑖𝑎𝑙 𝑠𝑖𝑧𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑝𝑜𝑝𝑢𝑙𝑎𝑖𝑜𝑛
𝑟 = 𝑟𝑒𝑙𝑎𝑡𝑖𝑣𝑒 𝑟𝑎𝑡𝑒 𝑜𝑓 𝑔𝑟𝑜𝑤𝑡ℎ
𝑡 = 𝑡𝑖𝑚𝑒
3.
a. The ship at sea is 120 miles from one radio station and 150 miles away from another. The
distance between the two stations is 200 miles. Approximate the angle between the two
signals? (The Solution should contain a diagram/ drawing of the problem) (15 marks)
b. Prove that: (10 marks)
sin(𝑥 + 𝑦) − sin (𝑥 − 𝑦)
cos(𝑥 + 𝑦) + cos (𝑥 − 𝑦) = 𝑡𝑎𝑛𝑦
Pure Mathematics (FNDM PM2.1) – Spring - 20 – makeup (Assignment) –ALL – QP
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4. Use steps app to walk for 7 days not less than 2000 steps (Remark: download the application
from mobile store and take screenshot for the 7 days measurements). Then use the data to
calculate measures of central tendency. ( 20 marks)
5.
a. Find the domain for the following: (5 marks)
𝑓(𝑥) = 2𝑥2 + 5𝑥 + 3
2𝑥2 − 5𝑥 − 3
b. Find 𝑓 −1(𝑥) 𝑜𝑓: 𝑓(𝑥) = 3
2−4𝑥5 (10 marks)
c. The table describes the distribution of a random sample S of 100 individuals, organized
by gender and whether they are right- or left-handed. Let’s denote the events M = the
subject is male, F = the subject is female, R = the subject is right-handed, L = the
subject is left-handed. Compute the following probabilities: (7 marks)
i. P(M)
ii. P(R)
iii. P(M AND R)
iv. P(F or L)
Right-handed Left-
handed
Males 43 9
Females 44 4
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Rules & Regulations:
• Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable
software or by pencil.
• Each student has to do the assignment individually
• The assignment answers should be in your own words.
Guidelines:
1) Submit this assignment on or before 10 /05/2020 (23:59) which must include:
• All solution steps.
• The solution must be submitted in a word file through the link available in Moodle.
• For the sketches if need you should insert them in same word file with solution and you can also
use word file tool to draw or Excel.
• The final assignment must have a Title page and page numbers.
• Title Page must have Assignment Name, Module name, Session, your name, ID, and the name of
the faculty.
• Softcopy in word format is to be submitted through Turnitin link on Moodle.
• Assignment must be computer typed.
➢ Font - Times New Roman
➢ Font – Style - Regular
➢ Font - Size - 12
➢ Heading should be with Font Size 14, Bold, Capital and Underline.
• Explain with suitable diagrams wherever required. Diagrams must be drawn using suitable
software or by pencil.
• Each student has to do the assignment individually.
• You can refer books in eLibrary or use internet resource. But you should not cut and paste material
from internet nor provide photocopied material from books. The assignment answers should be
in your own words after understanding the matter from the above resources.
Important Policies to be followed
1. Student Academic Integrity Policy*:
Pure Mathematics (FNDM PM2.1) – Spring - 20 – makeup (Assignment) –ALL – QP
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MEC upholds the spirit of academic integrity in all forms of academic work and any form of violation
of academic integrity shall invite severe penalty. Any benefit obtained by indulging in the act of
violation of academic integrity shall be cancelled.
All cases of violation of academic integrity on the part of the student shall fall under any of the below
mentioned categories:
1. Plagiarism
2. Malpractice
3. Ghost Writing
4. Collusion
5. Other cases
If the student fails a module and has a proven case of academic integrity violation in this module, the
student is required to re-register the module. This is applicable to first and second offenders of
plagiarism.
1. Plagiarism
A. First offence of plagiarism
I. If a student is caught first time in an act of plagiarism during his/her course of study in
any assignment other than project work, the student will be allowed to re-submit the
assignment once, within a maximum period of one week. However, a penalty of
deduction of 25% of the marks obtained for the resubmitted work will be imposed.
II. Period of re-submission: The student will have to re-submit the work one week from the
date he or she is advised to re-submit.
III. If the re-submitted work is also found to be plagiarized, then that assessment will be
awarded a zero mark. Re-submission of the work beyond the maximum period of one
week will not be accepted and the assessment will be awarded a zero mark.
B. Second offence of plagiarism
If any student is caught second time in an act of plagiarism during his/her course of study (in a
subsequent semester), the student will directly be awarded zero for the work in which plagiarism
is detected. In such cases, the student will not be allowed to resubmit the work. A warning of
suspension shall be issued, and student has to sign an undertaking and undergo counselling
session in such cases.
2. Malpractice/Ghostwriting/Collusion
A. First offence of Malpractice/Ghostwriting/Collusion
Pure Mathematics (FNDM PM2.1) – Spring - 20 – makeup (Assignment) –ALL – QP
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If a student is caught in an act of Malpractice/Ghostwriting/Collusion for an assessment
component irrespective of coursework or end semester, the student shall fail the module
and shall be required to re-register the module
B. Second Offence of Malpractice/Ghostwriting/Collusion
If a student is caught a second time in an act of Malpractice/Ghostwriting/Collusion for
an assessment component irrespective of coursework or end semester, the student
shall fail the module. A warning of suspension shall be issued, and student has to sign
an undertaking and undergo counselling session in such cases.
3. Third Offence of Academic Integrity Violation
If a student is caught a third time in an act of Academic Integrity Violation for an assessment
component irrespective of coursework or end semester (in a subsequent semester), the student
shall fail the module and also shall be suspended for one semester from the College, as
recommended by institutional level academic committee, Chaired by the Associate Dean, Academic
Affairs.
4. Fourth Offence of Academic Integrity Violation:
If a student is caught a fourth time in an act of Academic Integrity Violation for an assessment
component irrespective of coursework or end semester (in a subsequent semester), the student shall
fail the module and also shall be expelled from the College, as recommended by institutional level
academic committee, Chaired by the Associate Dean, Academic Affairs.
5. Other cases
If a student commits an act of academic integrity violation as per the definition of “other cases”
mentioned in the previous section or of a different nature, student’s case shall be forwarded to an
institutional level academic committee, Chaired by the Associate Dean, Academic Affairs. The
committee shall investigate the case by means of a viva and/or a disciplinary hearing and shall take
appropriate decision. The penalty that can be granted to a proven case of academic integrity violation
which falls in this category of “other cases” can be a warning/component zero/ module
fail/suspension/expulsion depending on the nature and gravity of the offence.
6. Types/Variations of Cases:
I. If plagiarism is detected in any component of one assessment, the deduction in marks will be
applicable for the whole assessment, even if only the component or part submission alone needs
to be resubmitted.
II. If plagiarism is detected in a group assessment, all students of the group will be considered as
having committed an act of plagiarism and the policy will then be applied to all students
III. If plagiarism is detected in any component of a group assessment, the deduction in marks will be
applicable for the whole assessment even if only the component or part submission alone needs
to be resubmitted.
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All students of the group would be considered as having committed an act of plagiarism and the
policy will then be applied to all the students of the group.
IV. If the assessment consists of components or part submissions that could be a group assessment
component (e.g. group assignment) and an individual assessment component (e.g. individual
reflection), the following will be applicable:
a. If plagiarism is detected in the group assessment component, all students of the group
will be considered as having committed an act of plagiarism, The policy will then be
applied to all students of the group. Group assessment component will be resubmitted
as per the policy.
b. If plagiarism is detected in the individual assessment component, the individual
assessment component will be resubmitted and the policy will then be applied to that
student alone.
c. For both (a) and/or (b), the deduction in marks will be applicable for the whole
assessment.
* for further details Refer to MEC Student Academic Integrity Policy in Student Handbook.
2. Late Submission Regulations:
It is the students’ responsibility to check all relevant timelines related to assessments.
As per the Assessment Policy at MEC, late submissions are allowed for one week (5 working days)
for all GFP modules with a penalty. In such cases, a deduction of 5% of the marks obtained for the
submitted work shall be imposed for each working day following the last date of submission
till the date of actual submission. Assessment documents submitted beyond a period of one
week (5 working days) after the last date of submission will not be accepted and will be awarded
a zero for that assessment. In cases where the submission has been delayed due to extenuating
circumstances, the student may be permitted to submit the work without imposing the late
submission policy stated above. The extended period of submission will be one week from the
original last date of submission. In such cases, the student is expected to submit the supporting
certificates on or before the original last date of submission of the assessment and the decision
of extension rests with faculty responsible for the assessment .The late submission policy shall be
applied if the student fails to submit the work within one week of the original last date of
submission.
Students may contact their teachers for clarification on specific details of the submission time if
required.
3. Research Ethics and Biosafety Policy
To protect and respect the rights, dignity, health, safety, and privacy of research subjects involved
including the welfare of animals and the integrity of environment, all student projects are
expected to be undertaken as per the MEC Research Ethics and Biosafety Policy. Accordingly the
following shall apply.
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• Research and other enterprise activities shall be conducted by maintaining the high ethical
standards consistent with national and international standards and conventions.
• Any research at MEC that is categorized as high-risk research shall be subject to review and
approval by the Research Ethics and Biosafety Committee.
• Research activities involving collection of human or animal tissues and manipulation of microbial,
animal or plant cells shall be subject to review and approval by the Research Ethics and Biosafety
Committee.
• Participants involved in research must be informed about the purpose of research and intended
uses of research findings. Written consent must be obtained from people involved prior to the
commencement of research.
• Data obtained from participants must be treated with high confidence and should be used only
for the intended purpose of research.
Assessment Evaluation Criteria
Classification
And % Range <to be given
as per requirement> Reflection and critical
analysis. Knowledge and
Understanding/
Application of Theory Evidence of Reading Referencing and
Bibliography Presentation, Grammar
and Spelling
Outstanding
Highly competent
analytical skills and
reflective practice,
demonstrating personal
learning and growth,
insight into required
professional values and
principles and professional
development planning.
Extensive knowledge and
depth of understanding of
principles and concepts
and /or outstanding
application of theory in
practice.
Evidence of reading an
extensive range of
educational
literature/research and
where applicable
workplace strategies,
policies and procedures.
Accurate referencing and
bibliography correctly
using appropriate
referencing style
Excellent presentation,
logically structured, using
correct grammar and
spelling, excellent cross-
referencing and links to
supporting evidence
Excellent
Strong analytical skills and
reflective practice used,
demonstrating personal
learning and growth,
insight into required
professional values,
principles and
competencies and
professional development
planning.
Excellent knowledge and
understanding of principles
and concepts and /or
excellent knowledge and
understanding of the
application of theory in
practice
Evidence of reading a wide
range of educational
literature/research and
where applicable,
workplace strategies,
policies and procedures.
Appropriate referencing
and bibliography correctly
using appropriate
referencing style
Good presentation,
competently structured,
using correct grammar and
spelling, clear and easy to
use links to supporting
evidence
Very Good Quality
Good use of analytical skills
and reflective practice
demonstrating personal
learning and growth,
insight into required
professional values,
principles and
competencies and
professional development
planning.
Good knowledge or key
principles and concepts
and/or good knowledge of
the application of theory in
practice
Evidence of reading a good
range of educational
literature/research and
where applicable workplace
strategies, policies and
procedures.
Generally well referenced
with correct use of the
appropriate referencing
style
Reasonable presentation,
completely structured,
acceptable grammar and
spelling, acceptable links to
supporting evidence
Good (Acceptable)
Acceptable use of analytical
skills and reflective practice
demonstrating personal
learning and growth,
insight into required
professional values,
principles and
competencies and
professional development
planning.
Acceptable knowledge of
key principles and concepts
and/or knowledge of the
application of theory in
practice
Evidence of reading an
appropriate range of
educational
literature/research and
where applicable, relevant
workplace policies and
procedures
Adequate referencing.
Generally accurate use of
appropriate referencing
style
Adequate presentation and
structure, acceptable
grammar and spelling,
adequate links to
supporting evidence
Adequate/ Satisfactory
Adequate use of analytical
skills and reflective practice
demonstrating personal
learning and growth,
Adequate knowledge of key
principles and concepts
and/or satisfactory
Evidence of minimal
reading of educational
literature/research and
where applicable relevant
Adequate referencing.
Appropriate referencing
style used but may contain
some inaccuracies.
Weak presentation ,
satisfactory structure,
grammar and spelling, links
to supporting evidence
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insight into required
professional values,
principles and
competencies and
professional development
planning.
evidence of the application
of theory in practice.
workplace policies and
procedures
Weak /Poor
(all learning outcomes not
adequately met)
Little use of analytical skills
and reflective practice
demonstrating personal
learning and growth,
insight into required
competencies and/or
professional development
planning. Professional
values and principles not
reflected in the submission.
and/or
Insufficient/no use of
analytical skills and
reflective practice
demonstrating personal
learning and growth,
insight into required
competencies and
professional development
planning
Little evidence of
knowledge of key
principles or concepts
and/or little evidence of
the application of theory in
practice
and/or
No evidence of knowledge
of key principles or
concepts and/or no
evidence of application of
theory in practice
Little or no evidence of
reading outside of the
course textbook and/or
reference to relevant work
place policies and
procedures
and/or
No evidence of reading
outside of the course
textbook and/or reference
to relevant workplace
policies and procedures
Little or no referencing,
incorrect style, or very
inaccurate use of
appropriate referencing
style
Poor presentation,
grammar and spelling, links
to supporting evidence
and/or
Unacceptable
presentation, grammar
and spelling, structure is
very poor, links to
supporting evidence
