# Cabarrus College of Health Sciences Mathematics Worksheet

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College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
IN SEMESTER (INDIVIDUAL) ASSIGNMENT
Module Code: MASC 10001.3
Module Name: College Mathematics
Level: 1
Max. Marks: 100
Instructions to Student

Deadline of submission: 7th /January /2022
23:59

The marks received on the assignment will be scaled down to the actual weightage
of the assignment which is 100 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 by 29th /January /2022
Module Learning Outcomes
The following LOs are achieved by the student by completing the assignment successfully
1)
2)
3)
4)
Perform operations on complex numbers
Convert one number system to another
Carry out set operations.
Summarize grouped data and use frequency distribution tables
Assignment Objective
To be able to identify and do some operations in complex numbers, also to convert one number
system to another. Also, to be able to summarize grouped data and create frequency distribution
table, do some operations in set theory.
MEC_AMO_TEM_035_02
Page 1 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
Note: m is the 7th digit and n is the last digit of your college ID. Show all steps
(75 Marks)
1. Simplify the following and find the modulus:
((5 + 𝑚)√−9 + 2 𝑖 (150−2𝑛) ) + 2(√−27 + 7 𝑖 75+4𝑚 )
2. Given 𝑧 = (22 + 𝑚) + 4𝑖 and
𝑧
𝑤
(11 marks)
= −6 − (8 + 𝑛)𝑖. Fin𝑑 𝑤 and write it in polar form
(16 marks)
(20 marks)
4. Let the universal set 𝑈, and the subsets of U are
𝐴 = {𝑥|𝑥 𝑖𝑠 𝑎 𝑙𝑒𝑡𝑡𝑒𝑟 𝑜𝑓 𝑦𝑜𝑢𝑟 𝑓𝑖𝑟𝑠𝑡 𝑛𝑎𝑚𝑒},
𝐵 = {𝑥|𝑥 𝑖𝑠 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟, 𝑥 2 − (4 + 𝑚) = 0 }, 𝐶 = {3,4,5} and
𝐷 = {𝑥|𝑥 𝑖𝑠 𝑠𝑒𝑡 𝑜𝑓 𝑣𝑜𝑤𝑒𝑙𝑠 𝑖𝑛 𝑡ℎ𝑒 𝐸𝑛𝑔𝑙𝑖𝑠ℎ 𝑎𝑙𝑝ℎ𝑎𝑏𝑒𝑡 }
a. Write set U
(2 marks)
b. Write set A , B and D in roster form
(6 marks)
c. Find: (𝐴𝑐 ∪ 𝐵)𝑐 ∩ 𝐷.
(6 marks)
d. Find 𝐵 × 𝐶
(4 marks)
e. Explain by your own words the types of sets and give example for each one.
(4 marks)
5.
a. Write the set {6,11,18,27} in the set-builder form.
(4 marks)
b. Write the following set in roster form:
(2 marks)
A={𝑥: 𝑥 is any two elements that belong to natural number such that the sum of its
elements is 9}
MEC_AMO_TEM_035_02
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College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
1.
(25 marks)
Make a questionnaire with one question (using Google form) for a sample size of 30 students
to collect the data on their weights (kg). Take screenshot for the survey then answer the
following:
a. Construct a frequency distribution table of 4 classes for the collecting data and find the relative
frequency.
b. Find the median for the grouped data.
(15 marks)
(10 marks)
Rules & Regulations:

All resources should be cited using APA 7th edition referencing style.
APA 7th edition referencing style 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.
Viva will be conducted after the assignment submission as per the dates informed earlier.
Guidelines:

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.

MEC_AMO_TEM_035_02
Page 3 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP

You can refer books in E-Library 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.
Assessment Evaluation Criteria
Classification
And % Range
Outstanding
91-100
Excellent
81–90
Very Good Quality
71-80
Good (Acceptable)
61-70
51-60
Weak /Poor
(all learning outcomes not
0-50
Reflection and critical
analysis.
Highly
competent
analytical
skills
and
reflective
practice,
demonstrating
personal
learning
and
growth,
insight
into
required
professional values and
principles and professional
development planning.
Strong analytical skills and
reflective practice used,
demonstrating
personal
learning
and
growth,
insight
into
required
professional
values,
principles
and
competencies
and
professional development
planning.
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.
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.
skills and reflective practice
demonstrating
personal
learning
and
growth,
insight
into
required
professional
values,
principles
and
competencies
and
professional development
planning.
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
MEC_AMO_TEM_035_02
Knowledge and
Understanding/
Application of Theory
Extensive knowledge and
depth of understanding of
principles and concepts
and /or outstanding
application of theory in
practice.
Referencing and
Bibliography
Presentation, Grammar
and Spelling
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 crossreferencing and links to
supporting evidence
Excellent knowledge and
understanding of principles
and concepts and /or
excellent knowledge and
understanding
of
the
application of theory in
practice
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
evidence
Good knowledge or key
principles and concepts
and/or good knowledge of
the application of theory in
practice
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
supporting evidence
Acceptable knowledge of
key principles and concepts
and/or knowledge of the
application of theory in
practice
appropriate
range of
educational
literature/research
and
where applicable, relevant
workplace policies and
procedures
referencing.
Generally accurate use of
appropriate
referencing
style
structure,
acceptable
grammar and spelling,
to
supporting evidence
principles and concepts
and/or
satisfactory
evidence of the application
of theory in practice.
Evidence
of
minimal
of educational
literature/research
and
where applicable relevant
workplace policies and
procedures
referencing.
Appropriate
referencing
style used but may contain
some inaccuracies.
Weak
presentation
,
satisfactory
structure,
to supporting evidence
Little evidence of
knowledge of key
principles or concepts
and/or little evidence of
the application of theory in
practice
Little or no evidence of
course textbook and/or
reference to relevant work
place policies and
procedures
Little or no referencing,
incorrect style, or very
inaccurate use of
appropriate referencing
style
Poor presentation,
to supporting evidence
and/or
and/or
No evidence of knowledge
of key principles or
concepts and/or no
outside of the course
textbook and/or reference
and/or
Unacceptable
presentation, grammar
and spelling, structure is
supporting evidence
Page 4 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
Insufficient/no use of
analytical
skills
and
reflective
practice
demonstrating
personal
learning
and
growth,
insight
into
required
competencies
and
professional development
planning
evidence of application of
theory in practice
to relevant workplace
policies and procedures
Important Policies to be followed

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.

MEC also reserves the right to notify the appropriate law enforcement authorities of any
unlawful activity and to cooperate thereafter in any investigation of such activity.

Faculty can conduct a viva to investigate and ascertain that the work submitted is student’s
own work as per the guidelines for the same. A student can be given a maximum of 2
chances to attend the viva in such cases. It is expected that the student attends the viva
during the first chance itself unless due to extenuating circumstances. If the student does
not attend the viva in spite of being given 2 chances and fails to submit valid reasons,
he/she will be awarded a fail in the module and this shall be counted as a case of academic
integrity violation.
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 offence of
academic integrity violation of plagiarism type
1.1. First Offence of Academic Integrity Violation:
MEC_AMO_TEM_035_02
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College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
1.1.1. Plagiarism
a. If a student is caught first time in an act of academic integrity violation during
his/her course of study in any assignment other than project work and if the type
of violation is plagiarism, then the student will be allowed to re-submit the
assignment once as per the period allowed for re submission However, a penalty
of deduction of 25% of the marks obtained for the resubmitted work will be
imposed.
b.
Period of re-submission: The student will have to re-submit the work within one
week (5 working days) from the date he or she is advised to re-submit.
c.
Re-submission of the work beyond the allowed period of resubmission will not be
accepted and the assessment will be awarded a zero mark.
d.
If the re-submitted work (within the allowed period of resubmission) is also found
to be plagiarized, then that assessment component will be awarded a zero mark.
It shall also contribute to the total count of academic integrity violation for that
student.
e.
If plagiarism is detected in UG Project work (Project 1, Project Planning and Project
Design and Implementation), the above clauses do not apply, and the work will be
summarily rejected. In these cases the student will be awarded a fail (F) grade and
is required to reregister the module.
1.1.2. Malpractice / Ghostwriting / Collusion
If a student is caught first time in an act academic integrity violation during his/her course
of study for an assessment component irrespective of coursework or end semester and
if the type of violation is Malpractice/Ghostwriting/Collusion, then the student shall fail
the module.
1.2. Second Offence of Academic Integrity Violation:
1.2.1. Plagiarism
a. If any student is caught second time in an act of academic integrity violation during
his/her course of study and if the type of violation is plagiarism, then the student
will not be allowed to resubmit the work, and s/he will directly be awarded zero
for the work in which plagiarism is detected.
b.
The student shall also receive a warning of suspension in such cases.
1.2.2. Malpractice/Ghostwriting/Collusion
a. If a student is caught a second time in an act academic integrity violation for an
assessment component irrespective of coursework or end semester and if the type
MEC_AMO_TEM_035_02
Page 6 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
of violation is Malpractice/Ghostwriting/Collusion, then the student shall fail the
module.
b.
The student shall also receive a warning of suspension in such cases.
1.3. Third Offence of Academic Integrity Violation:
a.
b.
c.
d.
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 then the student
shall fail the module and also shall be suspended for one semester from the College,
once the academic integrity violation case is confirmed by Institutional Assessment
Review Committee.
The student shall be suspended for the immediate subsequent semester and can
register for modules only after having served the suspension period fully. This is also
applicable for semesters offered in block mode.
During the suspension period, the student shall have to mandatorily complete a course
on academic integrity/writing before s/he can register for any modules.
During the period of suspension, the student shall be allowed to attempt
supplementary examinations if s/he is eligible for the same. S/he shall also be allowed
access to all college facilities permitted for a regular student except for registering the
modules.
1.4. Fourth Offence of Academic Integrity Violation:
a.
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, the student shall
fail the module and also shall be expelled from the College, once the case is confirmed
by Institutional Assessment Review Committee.
b.
The student shall be expelled from the college and all access to the college facilities
and premises shall cease to exist. The documents shall be released only after getting
the NOC (No Objection Certificate) from Registration Office.
c.
`On termination, the student shall not be refunded any fees paid for the academic
semester in which academic integrity violation was observed.
1.5. 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 Assessment Review Committee, Chaired by the Associate
Dean, Academic Affairs. The committee shall investigate the case by means of a viva and/or
a hearing of the parties concerned if required 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.
1.6. Types/Variations of cases of Plagiarism and associated actions
Type 1: In case plagiarism is detected in any component or part submission (submitted at
different times) of one assessment (assignment), the deduction in marks will be applicable
MEC_AMO_TEM_035_02
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College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
for the whole assessment (assignment), even if only the component or part submission alone
needs to be resubmitted.
Type 2: In case plagiarism is detected in a group assessment, all students of the group will be
considered as having committed an act of plagiarism irrespective of whether plagiarism is on
account of the act of all or a few or only one member. The policy will then be applied to all
students.
If some students in the group are eligible to re-submit (first offence) and others are not
eligible, only eligible students will be allowed to re-submit within a period of one week and
the penalty will be applied as per the policy for each student according to his / her history of
violations.
Type 3: Combination of Type 1 and Type 2: In case plagiarism is detected in any component
or part submission (submitted at different times) of a group assessment (assignment), the
deduction in marks will be applicable for the whole assessment (assignment), even if only the
component or part submission alone needs to be resubmitted. All students of the group
would be considered as having committed an act of plagiarism irrespective of whether
plagiarism is on account of the act of all or a few or only one member. The policy will then be
applied to all the students of the group.
If some students in the group are eligible to re-submit (first offence) and others are not
eligible, only eligible students will be allowed to re-submit within a period of one week and
the penalty will be applied as per the policy for each student according to his / her history of
violation.
Type 4: Variation of Type 1 and Type 2: In cases where 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, irrespective of whether plagiarism
is on account of the act of all or a few or only one member. The policy will then be applied to
all students of the group. In such cases the group assessment component will be resubmitted.
If some students in the group are eligible to re-submit (first offence) and others are not
eligible, only eligible students will be allowed to re-submit within a period of one week and
the penalty will be applied for each student according to his / her history of violation.
b. If plagiarism is detected in the individual assessment component, the individual assessment
component will be resubmitted – if the student is eligible for resubmission-. The policy will
then be applied to that student alone.
c. In both cases (a) and/or (b), the deduction in marks will be applicable for the whole
assessment (assignment).
1.7. Types/Variation of Cases of Multiple Offences
MEC_AMO_TEM_035_02
Page 8 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
If student is caught with multiple violations of same or different nature in different modules
of the same semester, they will be considered as one offence and student will be penalized
for each violation according to the type of the offence.
If student is caught with multiple violations of same or different nature in the same module
of the same semester, then they will be considered as different offences and each will
contribute to the overall count of AIV. The student then shall be penalized for each violation
according to the count and type of each offence.
* 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 UG 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.
It is the students’ responsibility to check all relevant timelines related to assessments.
Late submission penalty for PG modules shall be imposed 10% deduction of the marks obtained
for work submitted up to 1 week (5 working days) after the due date for submission and for work
submitted after this, but up to 2 weeks (10 working days) late, student will lose a further 10% of
the obtained mark (i.e. 20% overall). Work tendered for submission more than 2 weeks (10
working days) after the due date will not be accepted and an absence will be recorded for the
assessment concerned. This will count as a failed attempt and may result in failing the module
overall.
MEC_AMO_TEM_035_02
Page 9 of 10
College Mathematics (MASC 10001.3) – Fall 2021 – CW 2 (Assignment2) – All– QP
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.

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.
MEC_AMO_TEM_035_02
Page 10 of 10

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