Math Assignment
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 1 of 9
Instructions to Student
Answer all questions.
Scientific calculators are permitted to use.
Use the suitable formulas as required.
Deadline of submission: 22/11/2020 23:59
The marks received on the assignment will be scaled down to the actual weightage
of the assignment which is 50 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 6/12/2020
Module Learning Outcomes The following LOs are achieved by the student by completing the assignment successfully
1) Use multivariate calculus methods to compute multiple integrals.
2) Use transforms methods to solve linear, constant coefficient differential equations.
Assignment Objective
The aim of this assignment to test the understanding of the students on calculus of multivariate function.
This includes testing their knowledge on the procedure and accuracy on the topics of double integral and
triple integrals. The computational ability of the students in applying the Laplace, Inverse Laplace
transform operators and their application will also be tested.
`
IN SEMESTER INDIVIDUAL ASSIGNMENT
Module Code: MASC 0010.1 Module Name: Engineering Mathematics 2
Level: 2 Max. Marks: 100
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 2 of 9
Assignment Tasks
1) For ??(??, ??) = ??(??)?(??) ?????? ?? = [??, ??] × [??, ??], show that
? ??(??, ??)???? ??
= ? ??(??)???? ??
?? ? ?(??)????
??
??
for any values of g(x), h(y), a, b, c, d of your choice. Also, find the value of double integral by using
Matlab. (20 marks)
2) Evaluate ? ???? ??
where V is the region ?? = {(??, ??, ??)/ 0 ? ?? ? ??, 0 ? ?? ? ?? ?? ?? , 0 ? ?? ? 1 }.
(20 marks)
3) Find the Laplace transform F(s) of the function ??(??) = 4???? ? 3?? sinh(????) + 7 cos(???) ?? ?????.
Verify your answer by using Mathematical software Matlab. (a is a number taken from your car
number plate). (10 marks)
4) Find the inverse Laplace transform of the function F(s) obtained in Q3. Verify your answer by using
Mathematical software Matlab. (20 marks)
5) Solve the differential equation
2 ??” + 3??? ? 2?? = ?? ?? ?2?? , ????????? ??(0) = 0, ???(0) = ?2. (20 marks)
6) This marks will be taken as the average of the marks obtained by the student in the In-Class
activities. (10 marks)
Note: It is mandatory to upload the screenshots for the Matlab part.
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 3 of 9
Rules & Regulations:
All resources should be cited using CU Harvard style.
The final assignment must have a Title page, Table of Contents, References/ bibliography using
CU Harvard 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. The file should be
saved by using the following naming convention: MEC ID_Name_MASC 0010.1_Assignment 1
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.
The Screenshot of the Matlab work is must.
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 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
Criteria Excellent (84-100) Good (74-83) Fair (50-73) Weak (0-49)
Understanding
Appropriate
Mathematical
information is
identified
Mathematical
information is
identified, but
symbol or/and
formula are partially
defined
Some mathematics
information is
identified.
Symbol/formula are
not defined
No mathematics
information and no
formula or symbol
used.
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 4 of 9
Strategy
Can pick a good
strategy and
approach the
problem
Systematically. No
conceptual errors.
Can pick a good
strategy but cannot
approach the
problem
Systematically. Minor
conceptual error.
Can use somewhat
good strategy but
cannot approach the
problem
Systematically. Major
conceptual error.
Apply a strategy
that does not work.
Conceptual Error.
Calculation
Work shown is
logical. Calculations
are completely
correct.
Work shown has
gaps. Calculations are
mostly correct, may
contain minor errors.
Work is partially
shown. Calculations
contain major errors.
A limited amount of
work shown.
Calculations are
completely incorrect
Solution
Can get a correct
answer and give a
perfect answer
statement.
Can get a correct
answer but cannot
give an appropriate
answer statement.
Can give an
appropriate answer
statement despite the
incorrect answer.
Incorrect answer
and no answer
Statement.
Important Policies to be followed
1. Student Academic Integrity Policy*:
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 students
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:
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 5 of 9
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
a. First Offence of Academic Integrity Violation:
i. 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.
ii. 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.
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 6 of 9
b. Second Offence of Academic Integrity Violation:
i. 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.
ii. 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
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.
c. Third Offence of Academic Integrity Violation:
a. 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.
b. 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.
c. 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.
d. 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.
d. 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.
e. Other cases
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 7 of 9
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, students 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.
f. 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
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.
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 8 of 9
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).
g. Types/Variation of Cases of Multiple Offences
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.
Engineering Mathematics 2(MASC 0010.1) Fall – 20 CW1 (Assignment 1) R QP
MEC_AMO_TEM_034_01 Page 9 of 9
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.
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