Pure Mathematics

Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP ` IN SEMESTER (INDIVIDUAL) ASSIGNMENT Module Code: FNDM PM2.1 Level: 2 Module Name: Pure Mathematics Max. Marks: 100 Instructions to Student      Answer all questions. Deadline of submission: 5th / August /2021 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 within two weeks as per MEC polices. Module Learning Outcomes The following LOs are achieved by the student by completing the assignment successfully 1. Apply trigonometric functions and formulae 2. 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 unit circle & trigonometric functions and on statistics and probability measurements. Students should be able to collect data and analyze them. MEC_AMO_TEM_035_02 Page 1 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP Assignment Tasks Note: m is the last digit of your college ID. Show all steps 1. 1 a. Let 𝑐𝑜𝑠𝑥 = (− 2+𝑚) and cos 𝑥 lies below the 𝑥 𝑎𝑥𝑖𝑠 . Find sin(2𝑥) , cos(2𝑥) 𝑎𝑛𝑑 tan(2𝑥). b. (12 marks) Proof the formula of unit circle 𝑥 2 + 𝑦 2 = 1, and explain it in your own words (6 marks) 2. a. A boy is flying two kites at the same time. He has (250+m) feet of line out to one kite and (320-m) feet to the other. He estimates the distance between the kites’ by500 feet. Approximate the angle between the two lines? (The solution should contain a diagram/ drawing of the problem) (10 marks) b. Graph: 𝑓(𝑥) − 𝑚 = 3𝑐𝑜𝑠𝑥 + 1 (6 marks) 3. Make a questionnaire with one question (using Google form) for a sample size of 30 students to ask them about their satisfaction of college services. a. Screenshot of the questionnaire results b. Comment on the results not less than 50 word. c. Draw a pie chart showing percentage calculations. (5 marks) (5 marks) (10 marks) 4. Get the Fuel prices in Oman (Gasoline 95 (Super)) for 12 continuous months. You can choose any year, then find the following: a. Screenshot of the data b. Measurements of central tendency. ( 10 marks) c. Measurements of Dispersion ( 12 marks) MEC_AMO_TEM_035_02 ( 5 marks) Page 2 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP d. Comment on data. A student must write about his/ her observation on price of oil over period of time. (3 marks) 5. An insurance company has collected the following data on the gender and marital status of some customers Gender Single Married Divorced Male 25+m 125+m 30+m Female 50+m 50+m 20+m a. Fill the table and find the total number of customers ( 5 marks) b. If one customer is selected at random, then find the probability that the selected customer is: i. female and single (2 marks) ii. married if the customer is male (2 marks) iii. divorced (2 marks) iv. not single (5 marks) 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. MEC_AMO_TEM_035_02 Page 3 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP 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. 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 / Students have to do the assignment collaboratively and each student should write a brief reflection on their contribution and learnings from group work. 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 MEC_AMO_TEM_035_02 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 Knowledge and Understanding/ Application of Theory Extensive knowledge and depth of understanding of principles and concepts and /or outstanding application of theory in practice. Evidence of Reading Referencing and Bibliography Presentation, Grammar and Spelling 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 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 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 Good knowledge or key principles and concepts Evidence of reading a good range of educational Generally well referenced with correct use of the Reasonable completely presentation, structured, Page 4 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP 71-80 Good (Acceptable) 61-70 Adequate/ Satisfactory 51-60 Weak /Poor (all learning outcomes not adequately met) 0-50 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. Adequate use of analytical 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 Insufficient/no use of analytical skills and reflective practice demonstrating personal learning and growth, insight into required competencies and professional development planning and/or good knowledge of the application of theory in practice literature/research and where applicable workplace strategies, policies and procedures. appropriate style referencing acceptable grammar and spelling, acceptable links to supporting evidence 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 knowledge of key principles and concepts and/or satisfactory evidence of the application of theory in practice. Evidence of minimal reading of educational literature/research and where applicable relevant workplace policies and procedures Adequate referencing. Appropriate referencing style used but may contain some inaccuracies. Weak presentation , satisfactory structure, grammar and spelling, links 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 reading outside of the 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, grammar and spelling, links to supporting evidence and/or and/or No evidence of knowledge of key principles or concepts and/or no evidence of application of theory in practice No evidence of reading outside of the course textbook and/or reference to relevant workplace policies and procedures and/or Unacceptable presentation, grammar and spelling, structure is very poor, links to supporting evidence 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 MEC_AMO_TEM_035_02 Page 5 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP 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 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. MEC_AMO_TEM_035_02 Page 6 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP 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. b. 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. 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. ii. The student shall also receive a warning of suspension in such cases. 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. c. The student shall also receive a warning of suspension in such cases. Third Offence of Academic Integrity Violation: a. b. c. d. MEC_AMO_TEM_035_02 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. Page 7 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP d. Fourth Offence of Academic Integrity Violation: a. e. f. 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. 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. 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 MEC_AMO_TEM_035_02 Page 8 of 11 Pure Mathematics (FNDM PM2.1) – Summer – 21 – CW2 (Assignment) –ALL – QP 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 indi…
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