# Calculus homework help

Engineering Mathematics 2(MASC 0010.1) – Fall – 20 – CW1 (Assignment 1) – R – QP

MEC_AMO_TEM_034_01 Page 1 of 9

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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

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1) For ( , ) = ( )ℎ( ) = [ , ] × [ , ], show that

∬ ( , ) = ∫ ( )

∫ ℎ( )

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 , ℎ (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

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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

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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

statement.

Can get a correct

give an appropriate

Can give an

statement despite the

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 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:

Engineering Mathematics 2(MASC 0010.1) – Fall – 20 – CW1 (Assignment 1) – R – QP

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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

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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

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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.

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

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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

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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 researc